The Unruh effect and its applications

It has been 30 years since the discovery of the Unruh effect. It has played a crucial role in our understanding that the particle content of a field theory is observer dependent. This effect is important in its own right and as a way to understand the phenomenon of particle emission from black holes and cosmological horizons. The Unruh effect is reviewed here with particular emphasis on its applications. A number of recent developments are also commented on and some controversies are discussed. Effort is also made to clarify what seem to be common misconceptions.

[1]  Brian William St. Leger Montague,et al.  Polarized Beams in High-Energy e + e - Storage Rings , 1983 .

[2]  S. Massar,et al.  Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators , 2006, hep-th/0606174.

[3]  A. Higuchi,et al.  Lorentz-Dirac force from QED for linear acceleration , 2004, quant-ph/0407162.

[4]  Müller,et al.  Spontaneous excitation of an accelerated atom: The contributions of vacuum fluctuations and radiation reaction. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[5]  Susskind,et al.  Black hole entropy in canonical quantum gravity and superstring theory. , 1994, Physical review. D, Particles and fields.

[6]  R. Onofrio,et al.  Detectability of dissipative motion in quantum vacuum via superradiance. , 2006, Physical review letters.

[7]  R. Mann,et al.  Alice falls into a black hole: entanglement in noninertial frames. , 2004, Physical review letters.

[8]  D. Boulware Quantum Field Theory in Schwarzschild and Rindler Spaces , 1975 .

[9]  R. Wald,et al.  Quantum Field Theory in Curved Spacetime , 1995, gr-qc/9509057.

[10]  W. Unruh Notes on black-hole evaporation , 1976 .

[11]  Cole Properties of a classical charged harmonic oscillator accelerated through classical electromagnetic zero-point radiation. , 1985, Physical review. D, Particles and fields.

[12]  Is the equivalence for the response of static scalar sources in the Schwarzschild and Rindler spacetimes valid only in four dimensions , 2004, gr-qc/0410139.

[13]  Alan D. Martin,et al.  Review of Particle Physics , 2010 .

[14]  R. Glauber Quantum Theory of Optical Coherence , 2006 .

[15]  J. Leinaas,et al.  The Unruh Effect and Quantum Fluctuations of Electrons in Storage Rings , 1987 .

[16]  P. Davies,et al.  Particle detectors in the presence of boundaries , 1989 .

[17]  L. Crispino,et al.  Response rate of a uniformly accelerated source in the presence of boundaries , 2004 .

[18]  Potting,et al.  Accelerating observer and the Hagedorn temperature. , 1989, Physical review letters.

[19]  F. Rohrlich The definition of electromagnetic radiation , 1961 .

[20]  S. Barshay,et al.  A Possible Origin for Temperature in Strong Interactions , 1978 .

[21]  Hawking-like effects and Unruh-like effects: toward experiments ? , 1994, gr-qc/9406012.

[22]  A. Ottewill,et al.  Is acceleration radiation isotropic? , 1985 .

[23]  R. Tolman Relativity, Thermodynamics, and Cosmology , 1934 .

[24]  W. Unruh,et al.  Acceleration radiation and the generalized second law of thermodynamics , 1982 .

[25]  D. Sudarsky,et al.  Interaction of Hawking radiation with static sources outside a Schwarzschild black hole , 1998, gr-qc/9806093.

[26]  S. V. Bulanov,et al.  Optics in the relativistic regime , 2006 .

[27]  P. Davies,et al.  Quantum vacuum energy in two dimensional space-times , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[28]  Violating Bell's inequalities in vacuum , 2003, quant-ph/0310058.

[29]  Interaction of Hawking radiation and a static electric charge , 1998, gr-qc/9804066.

[30]  Theory of Many-Particle Systems , 1989 .

[31]  B. S. Kay Linear spin-zero quantum fields in external gravitational and scalar fields , 1978 .

[32]  G. Milburn,et al.  Ion trap simulations of quantum fields in an expanding universe. , 2005, Physical review letters.

[33]  G. W. Forda,et al.  Is there Unruh radiation ? , 2006 .

[34]  Ø. Grøn,et al.  Electrodynamics of Hyperbolically Accelerated Charges: III. Energy–Momentum of the Field of a Hyperbolically Moving Charge , 2000 .

[35]  W. Unruh,et al.  Entropy bounds, acceleration radiation, and the generalized second law , 1983 .

[36]  Hayes,et al.  Review of Particle Physics. , 1996, Physical review. D, Particles and fields.

[37]  A. Higuchi Quantisation of scalar and vector fields inside the cosmological event horizon and its application to the Hawking effect , 1987 .

[38]  Boundary conditions in the Unruh problem , 1999, hep-th/9906181.

[39]  A. Higuchi Massive symmetric tensor field in spacetimes with a positive cosmological constant , 1989 .

[40]  Free massive particles with total energy E , 2002, gr-qc/0201093.

[41]  D. Raine,et al.  Does a uniformly accelerated quantum oscillator radiate? , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[42]  R. Wald,et al.  Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate killing horizon , 1991 .

[43]  N. Sanchez Quantum detection on the vacuum by non-uniformly accelerated observers , 1981 .

[44]  Do static sources respond to massive scalar particles from the Hawking radiation as uniformly accelerated ones do in the inertial vacuum , 2002, gr-qc/0211053.

[45]  R. Glauber The Quantum Theory of Optical Coherence , 1963 .

[46]  J. Badier,et al.  First observation of transverse beam polarization in LEP , 1991 .

[47]  R. Bousso The Holographic principle , 2002, hep-th/0203101.

[48]  J. Friedman Generic instability of rotating relativistic stars , 1978 .

[49]  S. Hawking Particle creation by black holes , 1975 .

[50]  Ø. Grøn,et al.  Electrodynamics of Hyperbolically Accelerated Charges: I. The Electromagnetic Field of a Charged Particle with Hyperbolic Motion , 2000 .

[51]  W. Unruh,et al.  Energy-momentum tensor near an evaporating black hole , 1976 .

[52]  P. Davies,et al.  Acceleration radiation in a compact space , 1984 .

[53]  S. Christensen,et al.  Trace Anomalies and the Hawking Effect , 1977 .

[54]  Rindler and Minkowski particles relationship revisited , 1996, gr-qc/9605009.

[55]  Decay of accelerated protons and the existence of the Fulling-Davies-Unruh effect. , 2001, Physical review letters.

[56]  Yee,et al.  Zero-point field in a circular-motion frame. , 1987, Physical review. D, Particles and fields.

[57]  S. Takagi Vacuum Noise and Stress Induced by Uniform Acceleration Hawking-Unruh Effect in Rindler Manifold of Arbitrary Dimension , 1986 .

[58]  D. Boulware Spin- 1 2 quantum field theory in Schwarzschild space , 1975 .

[59]  Ralf Schutzhold,et al.  Comment on "Teleportation with a uniformly accelerated partner" , 2005 .

[60]  R. Sexl,et al.  Production of particles by gravitational fields , 1969 .

[61]  S. Coleman There are no Goldstone bosons in two dimensions , 1973 .

[62]  Noam Soker,et al.  Radiation from a Uniformly Accelerated Charge , 1998 .

[63]  E. Wichmann,et al.  ON THE DUALITY CONDITION FOR QUANTUM FIELDS , 1976 .

[64]  R. Prepost,et al.  Beam polarization measurements at the spear storage ring , 1983 .

[65]  L. Parker,et al.  Conformal energy-momentum tensor in curved spacetime: Adiabatic regularization and renormalization , 1974 .

[66]  R. Boyer Geodesic Killing orbits and bifurcate Killing horizons , 1969, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[67]  V. Ginzburg,et al.  Excitation and radiation of an accelerated detector and anomalous doppler effect , 1986 .

[68]  W. Rindler Kruskal Space and the Uniformly Accelerated Frame , 1966 .

[69]  G J Milburn,et al.  Teleportation with a uniformly accelerated partner. , 2003, Physical review letters.

[70]  Eyvind H. Wichmann,et al.  On the duality condition for a Hermitian scalar field , 1975 .

[71]  C. Bernard Feynman Rules for Gauge Theories at Finite Temperature , 1974 .

[72]  Y. Peleg,et al.  Quantum detector in an accelerated cavity , 1992 .

[73]  Y. Peleg,et al.  Unruh effect for circular motion in a cavity , 1993 .

[74]  M. Scully,et al.  Scully et al. Reply , 2004 .

[75]  R. Parentani The recoils of the accelerated detector and the decoherence of its fluxes , 1995 .

[76]  Dowling,et al.  Quantum electrodynamics based on self-fields: On the origin of thermal radiation detected by an accelerating observer. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[77]  Paul M. Alsing,et al.  Teleportation in a non-inertial frame , 2003 .

[78]  P. Davies,et al.  Radiation from moving mirrors and from black holes , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[79]  Jacobson,et al.  Thermodynamics of spacetime: The Einstein equation of state. , 1995, Physical review letters.

[80]  R. Jost General Theory of Quantized Fields , 1965 .

[81]  On a puzzle about bremsstrahlung as described by coaccelerated observers , 2005, gr-qc/0507040.

[82]  V. Ginzburg,et al.  METHODOLOGICAL NOTES: Vacuum in a homogeneous gravitational field and excitation of a uniformly accelerated detector , 1987 .

[83]  P. Kok,et al.  Gravitational decoherence , 2003, gr-qc/0306084.

[84]  F. Benatti,et al.  Entanglement generation in uniformly accelerating atoms: Reexamination of the Unruh effect , 2004 .

[85]  Asher Peres,et al.  Quantum entropy and special relativity. , 2002, Physical review letters.

[86]  Semiclassical approach to the decay of protons in circular motion under the influence of gravitational fields , 2006, gr-qc/0608027.

[87]  Stephen W. Hawking,et al.  Path Integral Derivation of Black Hole Radiance , 1976 .

[88]  T. Jacobson,et al.  Horizon Entropy , 2003, gr-qc/0302099.

[89]  D. L. Drukey Radiation from a uniformly accelerated charge , 1949 .

[90]  Y. Derbenev,et al.  Polarization kinematics of particles in storage rings , 1973 .

[91]  Marlan O Scully,et al.  Enhancing acceleration radiation from ground-state atoms via cavity quantum electrodynamics. , 2003, Physical review letters.

[92]  D. Minic,et al.  Notes on spacetime thermodynamics and the observer dependence of entropy , 2003, hep-th/0310022.

[93]  P. Davies Scalar production in Schwarzschild and Rindler metrics , 1975 .

[94]  Higuchi,et al.  Fulling-Davies-Unruh effect in classical field theory. , 1993, Physical review. D, Particles and fields.

[95]  Rindler particles and classical radiation , 2001, gr-qc/0111041.

[96]  P. Davies,et al.  Accelerated observers do not detect isotropic thermal radiation , 1983 .

[97]  V. Ginzburg,et al.  Methodological Notes: Radiation and Radiation Friction Force in Uniformly Accelerated Motion of a Charge , 1970 .

[98]  P. Alsing,et al.  Entanglement of Dirac fields in noninertial frames , 2006, quant-ph/0603269.

[99]  Do static sources outside a Schwarzschild black hole radiate? , 1996, gr-qc/9609025.

[100]  Kamil Bradler Eavesdropping of quantum communication from a noninertial frame , 2007 .

[101]  I. Ternov,et al.  POLARIZATION AND SPIN EFFECTS IN THE THEORY OF SYNCHROTRON RADIATION , 1963 .

[102]  Low-energy sector quantization of a massless scalar field outside a Reissner-Nordström black hole and static sources , 2000, gr-qc/0002072.

[103]  Analytic evaluation of the decay rate for an accelerated proton , 2002, gr-qc/0211056.

[104]  S. Fulling,et al.  Temperature, periodicity and horizons , 1987 .

[105]  R. Wald Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics , 1994 .

[106]  N. Myhrvold Thermal radiation from accelerated electrons , 1985 .

[107]  S. Fulling Alternative vacuum states in static space-times with horizons , 1977 .

[108]  J. S. Dowker,et al.  FIELD THEORIES ON CONFORMALLY RELATED SPACE-TIMES: SOME GLOBAL CONSIDERATIONS , 1979 .

[109]  Norma G. Sanchez,et al.  Comments of quantum detection and the anisotropy of thermal radiation by accelerated observers , 1985 .

[110]  R. Fox,et al.  Classical Electrodynamics, 3rd ed. , 1999 .

[111]  Bautista Acceleration through the Dirac-Pauli vacuum and effects of an external field. , 1993, Physical review. D, Particles and fields.

[112]  Piotr Chmielowski States of scalar field on spacetimes with two isometries with timelike orbits , 1994 .

[113]  Signatures of the Unruh effect from electrons accelerated by ultrastrong laser fields. , 2006, Physical review letters.

[114]  G. Gibbons,et al.  Black holes and thermal Green functions , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[115]  R. Kubo Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems , 1957 .

[116]  Background thermal contributions in testing the Unruh effect. , 1994, Physical review. D, Particles and fields.

[117]  Rogers Detector for the temperaturelike effect of acceleration. , 1988, Physical review letters.

[118]  Weak decay of uniformly accelerated protons and related processes , 2000, hep-ph/0002010.

[119]  A. I. Nikishov,et al.  Quantum Processes in the Field of a Plane Electromagnetic Wave and in a Constant Field 1 , 1964 .

[120]  A. I. Nikishov Quantum Processes in a Constant Electric Field , 1970 .

[121]  S. Fulling,et al.  Nonuniqueness of Canonical Field Quantization in Riemannian Space-Time , 1973 .

[122]  Rudolf Haag,et al.  On the equilibrium states in quantum statistical mechanics , 1967 .

[123]  V. M. Katkov,et al.  RADIATIVE POLARIZATION OF ELECTRONS IN A MAGNETIC FIELD. , 1966 .

[124]  B. S. Kay The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes , 1985 .

[125]  佐藤 光,et al.  C. Itzykson and J. Zuber: Quantum Field Theory, McGraw-Hill, New York, 1980, 705ぺージ, 24×17cm, 18,870円. , 1981 .

[126]  W. Unruh Experimental black hole evaporation , 1981 .

[127]  R. Wald Trace anomaly of a conformally invariant quantum field in curved spacetime , 1978 .

[128]  Timothy H. Boyer,et al.  THERMAL EFFECTS OF ACCELERATION THROUGH RANDOM CLASSICAL RADIATION , 1980 .

[129]  J. Guven Aspects of Quantum Field Theory in Curved Space. , 1987 .

[130]  Jacques E. Romain,et al.  Gravitation: An Introduction to Current Research , 1963 .

[131]  V. Belinskiǐ,et al.  Does the Unruh effect exist? , 1997 .

[132]  A. S. Wightman,et al.  Quantum Field Theory in Terms of Vacuum Expectation Values , 1956 .

[133]  M. Kruskal,et al.  Maximal extension of Schwarzschild metric , 1960 .

[134]  J. Leinaas,et al.  Electrons as accelerated thermometers , 1983 .

[135]  Ø. Grøn,et al.  Electrodynamics of Hyperbolically Accelerated Charges. IV. Energy-Momentum Conservation of Radiating Charged Particles , 2002 .

[136]  RADIATION FROM PERFECT MIRRORS STARTING FROM REST AND ACCELERATING FOREVER AND THE BLACK BODY SPECTRUM (revised version) , 2001 .

[137]  Davies,et al.  Detecting the rotating quantum vacuum. , 1996, Physical review. D, Particles and fields.

[138]  Fulling–Davies–Unruh effect and spontaneous excitation of an accelerated atom interacting with a quantum scalar field , 2007, gr-qc/0701041.

[139]  H. D. Bremer,et al.  High spin polarization at the HERA electron storage ring , 1994 .

[140]  K. Hinton Particle detectors in Rindler and Schwarzchild space-times , 1983 .

[141]  M. Merkli,et al.  The Unruh effect revisited , 2006, math-ph/0604023.

[142]  Free massive particles with total energy E < mc 2 in curved spacetimes , .

[143]  L. Ryder,et al.  Quantum Field Theory , 2001, Foundations of Modern Physics.

[144]  Müller,et al.  Radiation from a uniformly accelerated particle detector: Energy, particles, and the quantum measurement process. , 1994, Physical review. D, Particles and fields.

[145]  Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena , 2000, gr-qc/0011070.

[146]  Svaiter Inertial and noninertial particle detectors and vacuum fluctuations. , 1992, Physical review. D, Particles and fields.

[147]  P. Grove On an Inertial Observer's Interpretation of the Detection of Radiation by Linearly Accelerated Particle Detectors , 1986 .

[148]  J. Bekenstein Black Holes and Entropy , 1973, Jacob Bekenstein.

[149]  How often does the Unruh–DeWitt detector click? Regularization by a spatial profile , 2006, gr-qc/0606067.

[150]  D. Deutsch,et al.  On the vacuum stress induced by uniform acceleration or supporting the ether , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[151]  S. Hawking,et al.  Cosmological Event Horizons, Thermodynamics, and Particle Creation , 1977 .

[152]  L. Sriramkumar,et al.  Finite-time response of inertial and uniformly accelerated Unruh - DeWitt detectors , 1996 .

[153]  Radiation reaction in quantum field theory , 2002, quant-ph/0208017.

[154]  Higuchi,et al.  Bremsstrahlung and Fulling-Davies-Unruh thermal bath. , 1992, Physical review. D, Particles and fields.

[155]  S. Hawking,et al.  Black hole explosions? , 1974, Nature.

[156]  B. Iyer,et al.  Detection of Dirac quanta in Rindler and black hole space-times and the ξ quantisation scheme , 1980 .

[157]  Lowell S. Brown,et al.  Geonium theory: Physics of a single electron or ion in a Penning trap , 1986 .

[158]  Christoph Adami,et al.  Entangled light in moving frames , 2003, quant-ph/0302095.

[159]  Julian Schwinger,et al.  Theory of Many-Particle Systems. I , 1959 .

[160]  W. Unruh,et al.  What happens when an accelerating observer detects a Rindler particle , 1984 .

[161]  From vacuum fluctuations to radiation. I. Accelerated detectors. , 1994, Physical review. D, Particles and fields.

[162]  H. Kolbenstvedt,et al.  Anisotropy of thermal radiation by accelerated detectors; an aberration effect , 1987 .

[163]  N. D. Birrell,et al.  Quantum fields in curved space , 2007 .

[164]  Mark Sweeny,et al.  Singularity structure of the two-point function in quantum field theory in curved spacetime , 1978 .

[165]  G. Matsas,et al.  Decay of protons and neutrons induced by acceleration , 1999, gr-qc/9901008.

[166]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[167]  E. Yablonovitch,et al.  Accelerating reference frame for electromagnetic waves in a rapidly growing plasma: Unruh-Davies-Fulling-DeWitt radiation and the nonadiabatic Casimir effect. , 1989, Physical review letters.

[168]  Radiation from accelerated mirrors following prescribed relativistic asymptotically inertial trajectories , 2001, gr-qc/0110009.

[169]  W. Unruh,et al.  Comment on “Boundary conditions in the Unruh problem” , 2004 .

[170]  Müller,et al.  Continuous measurement and localization in the Unruh effect. , 1995, Physical review. D, Particles and fields.

[171]  From color glass condensate to quark–gluon plasma through the event horizon , 2005, hep-ph/0501234.

[172]  V. Tsytovich,et al.  Average radiation-reaction force in quantum electrodynamics , 1991 .

[173]  A. Ashtekar,et al.  Quantum fields in curved space-times , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[174]  T. Padmanabhan Gravity and the thermodynamics of horizons , 2005 .

[175]  J. Paz,et al.  Course 8: Environment-Induced Decoherence and the Transition from Quantum to Classical , 2000, quant-ph/0010011.

[176]  T. Padmanabhan WHY DOES AN ACCELERATED DETECTOR CLICK , 1985 .

[177]  Higuchi,et al.  Bremssstrahlung and zero-energy Rindler photons. , 1992, Physical review. D, Particles and fields.

[178]  J. Jackson,et al.  On Understanding Spin-Flip Synchrotron Radiation and the Transverse Polarization of Electrons in Storage Rings , 1976 .

[179]  A. Ottewill,et al.  Notes on 'particle detectors' , 1983 .

[180]  W. Thirring,et al.  How Hot is the de Sitter Space , 1996 .

[181]  F. Rohrlich,et al.  Classical radiation from a uniformly accelerated charge , 1960 .

[182]  Christoph Adami,et al.  Quantum entanglement of moving bodies. , 2002, Physical review letters.

[183]  D. Raine General relativity , 1980, Nature.

[184]  A. Wightman,et al.  PCT, spin and statistics, and all that , 1964 .

[185]  Recalculation of the spectrum of the radiation emitted during gravitational collapse , 2004, gr-qc/0406075.

[186]  A. Satz Then again, how often does the Unruh–DeWitt detector click if we switch it carefully? , 2006, gr-qc/0611067.

[187]  Perfect mirrors and the self-accelerating box paradox , 2002, hep-th/0201255.

[188]  J. Gerber,et al.  Possible evidence for fluctuations in the hadronic temperature , 1980 .

[189]  Sarkar,et al.  Moving mirrors and time-varying dielectrics. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[190]  Classical and Quantum Radiation Reaction for Linear Acceleration , 2005, quant-ph/0501026.

[191]  B. Garbrecht,et al.  Energy density in expanding universes as seen by an Unruh detector , 2004, gr-qc/0406114.

[192]  E. Eriksena,et al.  Electrodynamics of hyperbolically accelerated charges V . The field of a charge in the Rindler space and the Milne space , 2004 .

[193]  Torres,et al.  Dirac vacuum: Acceleration and external-field effects. , 1991, Physical review. D, Particles and fields.

[194]  S. Fulling,et al.  Book-Review - Aspects of Quantum Field Theory in Curved Spacetime , 1989 .

[195]  S. Massar,et al.  A primer for black hole quantum physics , 1995, 0710.4345.

[196]  I. M. Pyshik,et al.  Table of integrals, series, and products , 1965 .

[197]  A. Higuchi Erratum: Radiation reaction in quantum field theory [Phys. Rev. D 66 , 105004 (2002)] , 2004 .

[198]  New thought experiment to test the generalized second law of thermodynamics , 2005, gr-qc/0505008.

[199]  D. Deutsch,et al.  Fermion fields in accelerated states , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[200]  Pisin Chen,et al.  Testing Unruh Radiation with Ultraintense Lasers , 1997 .

[201]  S. Takagi On the response of a particle detector in a circular motion , 1984 .

[202]  J. R. Letaw,et al.  Quantized scalar field in rotating coordinates , 1980 .

[203]  W. Greiner,et al.  Dirac particles in Rindler space , 1980 .

[204]  D. Deutsch,et al.  Quantum field theory, horizons and thermodynamics , 1981 .

[205]  S. Fulling Aspects of Quantum Field Theory in Curved Space-Time: Bibliography , 1989 .

[206]  A. Barut Electrodynamics and Classical Theory of Fields and Particles , 2010 .

[207]  H. Reeh,et al.  Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern , 1961 .

[208]  Daniel R. Terno,et al.  Quantum Information and Relativity Theory , 2002, quant-ph/0212023.

[209]  Carl P. Dettmann,et al.  Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity , 2006 .

[210]  J. Bekenstein ENTROPY BOUNDS AND THE SECOND LAW FOR BLACK HOLES , 1983 .

[211]  Accelerated detector-quantum field correlations: From vacuum fluctuations to radiation flux , 2005, gr-qc/0507054.

[212]  S. Fulling Review of some recent work on acceleration radiation , 2005 .

[213]  T. H. Boyer,et al.  Thermal effects of acceleration for a classical dipole oscillator in classical electromagnetic zero-point radiation , 1984 .

[214]  Decay of accelerated particles , 1997, hep-th/9706016.

[215]  G. Moore Quantum Theory of the Electromagnetic Field in a Variable-Length One-Dimensional Cavity , 1970 .

[216]  J. R. Letaw,et al.  The stationary coordinate systems in flat spacetime , 1982 .

[217]  B. S. Kay Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space–times with horizons , 1993 .

[218]  D. Buchholz,et al.  Local temperature in curved spacetime , 2006, gr-qc/0608133.

[219]  S. Hawking,et al.  General Relativity; an Einstein Centenary Survey , 1979 .

[220]  A. Friedenauer,et al.  Analogue of cosmological particle creation in an ion trap. , 2007, Physical review letters.

[221]  C. Hill Can the hawking effect thaw a broken symmetry , 1985 .

[222]  W. G. Unruh Acceleration radiation for orbiting electrons , 1998 .

[223]  Imprints of Spacetime Topology in the Hawking-Unruh Effect , 2005, gr-qc/0510127.

[224]  R. Wald,et al.  The Thermodynamics of Black Holes , 2001, Living reviews in relativity.

[225]  J. R. Letaw,et al.  Stationary world lines and the vacuum excitation of noninertial detectors , 1981 .

[226]  G. Sewell Quantum fields on manifolds: PCT and gravitationally induced thermal states , 1982 .

[227]  L. Sriramkumar,et al.  Response of finite-time particle detectors in non-inertial frames and curved spacetime , 1994 .

[228]  P. Davies,et al.  Radiation from a moving mirror in two dimensional space-time: conformal anomaly , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[229]  Higuchi,et al.  Uniformly accelerated finite-time detectors. , 1993, Physical review. D, Particles and fields.