Running G and Λ at low energies from physics at MX: possible cosmological and astrophysical implications

The renormalization group (RG) approach to cosmology is an efficient method for studying the possible evolution of the cosmological parameters from the point of view of quantum field theory (QFT) in curved space–time. In this work we continue our previous investigations of the RG method based on potential low-energy effects induced from physics at very high energy scales . In the present instance we assume that both the Newton constant, G, and the cosmological term, Λ, can be functions of a scale parameter μ. It turns out that G(μ) evolves according to a logarithmic law which may lead to asymptotic freedom of gravity, similar to the gauge coupling in QCD. At the same time Λ(μ) evolves quadratically with μ. We study the consistency and cosmological consequences of these laws when . Furthermore, we propose to extend this method to the astrophysical domain after identifying the local RG scale at the galactic level. It turns out that Kepler’s third law of celestial mechanics receives quantum corrections that may help to explain the flat rotation curves of the galaxies without introducing the dark matter hypothesis. The origin of these effects (cosmological and astrophysical) could be linked, in our framework, to physics at GeV.

[1]  R. Opher,et al.  Strong Limits on the Possible Decay of the Vacuum Energy into CDM or CMB Photons , 2005, astro-ph/0512333.

[2]  R. Opher,et al.  Decay of the vacuum energy into cosmic microwave background photons , 2005 .

[3]  R. Opher,et al.  Decay of the vacuum energy into CMB photons , 2004, astro-ph/0409451.

[4]  Peng Wang,et al.  Can vacuum decay in our universe? , 2004, astro-ph/0408495.

[5]  A. Babić,et al.  Renormalization-group running cosmologies. A Scale-setting procedure , 2004, astro-ph/0407572.

[6]  S. Carneiro,et al.  Decaying Lambda cosmology, varying G and holography , 2004, gr-qc/0405141.

[7]  R. Opher,et al.  Studying the decay of the vacuum energy with the observed density fluctuation spectrum , 2004, astro-ph/0405430.

[8]  S. Jhingan,et al.  Renormalization Group approach to Inhomogeneous Cosmology , 2004, gr-qc/0405021.

[9]  R. Horvat.  Holography and a variable cosmological constant , 2004, astro-ph/0404204.

[10]  J. Bekenstein.  Relativistic gravitation theory for the MOND paradigm , 2004, astro-ph/0403694.

[11]  Stefano Casertano,et al.  Type Ia Supernova Discoveries at z > 1 from the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution , 2004, astro-ph/0402512.

[12]  H. Stefancic,et al.  Phantom appearance of non-phantom matter , 2003, astro-ph/0312484.

[13]  M. Shmakova,et al.  Testing the cosmological constant as a candidate for dark energy , 2003, astro-ph/0312183.

[14]  L. Krauss,et al.  New nucleosynthesis constraint on the variation of G. , 2003, Physical review letters.

[15]  P. Ruiz-Lapuente,et al.  Testing the running of the cosmological constant with type Ia supernovae at high z , 2003, hep-ph/0311171.

[16]  H. Stefancic,et al.  Partial rip scenario—a cosmology with a growing cosmological term , 2003, astro-ph/0311247.

[17]  T. W. Murphy,et al.  35 years of testing relativistic gravity: Where do we go from here? , 2003, gr-qc/0311039.

[18]  I. Shapiro,et al.  Cosmological constant, renormalization group and Planck scale physics , 2003, hep-ph/0305279.

[19]  A. Liddle,et al.  k-essence and the coincidence problem , 2003, astro-ph/0304277.

[20]  I. Shapiro,et al.  Renormalization group and decoupling in curved space, II. The standard model and beyond , 2003, hep-ph/0303124.

[21]  P. Ruiz-Lapuente,et al.  Variable cosmological constant as a Planck scale effect , 2003, astro-ph/0303306.

[22]  E. Bentivegna,et al.  Confronting the IR fixed point cosmology with high-redshift observations , 2003 .

[23]  Edward J. Wollack,et al.  First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results , 2003, astro-ph/0302207.

[24]  Edward J. Wollack,et al.  First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters , 2003, astro-ph/0302209.

[25]  J. Brinkmann,et al.  Observing the Dark Matter Density Profile of Isolated Galaxies , 2003, astro-ph/0301360.

[26]  T. Padmanabhan,et al.  A theoretician's analysis of the supernova data and the limitations in determining the nature of dark energy , 2002, astro-ph/0212573.

[27]  T. Padmanabhan.  Cosmological constant—the weight of the vacuum , 2002, hep-th/0212290.

[28]  R. Horvat,et al.  Renormalization-group running of the cosmological constant and the fate of the universe , 2002, hep-ph/0211184.

[29]  I. Shapiro,et al.  Renormalization group and decoupling in curved space , 2002, hep-ph/0210388.

[30]  A. Holzner,et al.  Search for the standard model Higgs boson at LEP , 2002, hep-ex/0208045.

[31]  J. Frieman,et al.  Probing dark energy with supernovae: Exploiting complementarity with the cosmic microwave background , 2002, astro-ph/0208100.

[32]  P. Peebles,et al.  The Cosmological Constant and Dark Energy , 2002, astro-ph/0207347.

[33]  Mark Dickinson,et al.  The Great Observatories Origins Deep Survey , 2002, astro-ph/0204213.

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

[35]  A. Babič,et al.  Renormalization group running of the cosmological constant and its implication for the Higgs boson mass in the standard model , 2001, hep-ph/0111207.

[36]  Delphi collaboration,et al.  Search for the Standard Model Higgs Boson at LEP , 2001, hep-ex/0107029.

[37]  A. Bonanno,et al.  Cosmology of the Planck era from a renormalization group for quantum gravity , 2001, hep-th/0106133.

[38]  S. Weinberg.  Conference Summary - 20th Texas Symposium on Relativistic Astrophysics , 2001, astro-ph/0104482.

[39]  I. Shapiro,et al.  Massive fields temper anomaly-induced inflation: the clue to graceful exit? , 2001, hep-ph/0104182.

[40]  R. G. Vishwakarma.  Consequences on variable Λ-models from distant type Ia supernovae and compact radio sources , 2000, astro-ph/0012492.

[41]  I. Shapiro,et al.  The scaling evolution of cosmological constant , 2000, hep-th/0012227.

[42]  Paul J. Steinhardt,et al.  Essentials of k essence , 2000, astro-ph/0006373.

[43]  A. Polyakov.  String theory as a universal language , 2000, hep-th/0006132.

[44]  S. Carroll.  The Cosmological Constant , 2000, Living reviews in relativity.

[45]  E. Witten.  The Cosmological Constant from the Viewpoint of String Theory , 2000, hep-ph/0002297.

[46]  R. Gregory,et al.  Opening up extra dimensions at ultralarge scales. , 2000, Physical review letters.

[47]  I. Shapiro,et al.  Scaling behavior of the cosmological constant and the possible existence of new forces and new light degrees of freedom , 1999, hep-ph/9910462.

[48]  V. Lukash.  The very early Universe , 1999 .

[49]  L. Randall,et al.  An Alternative to compactification , 1999, hep-th/9906064.

[50]  A. Starobinsky,et al.  The Case for a positive cosmological Lambda term , 1999, astro-ph/9904398.

[51]  I. Hook,et al.  Measurements of Ω and Λ from 42 High-Redshift Supernovae , 1998, astro-ph/9812133.

[52]  J. Overduin,et al.  Evolution of the scale factor with a variable cosmological term , 1998, astro-ph/9805260.

[53]  A. G. Alexei,et al.  OBSERVATIONAL EVIDENCE FROM SUPERNOVAE FOR AN ACCELERATING UNIVERSE AND A COSMOLOGICAL CONSTANT , 1998 .

[54]  A. Riess,et al.  Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant , 1998, astro-ph/9805201.

[55]  H. Ford,et al.  Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant , 1998, astro-ph/9801080.

[56]  P. Steinhardt,et al.  Cosmological imprint of an energy component with general equation of state , 1997, astro-ph/9708069.

[57]  N. Tsamis,et al.  Quantum gravity slows inflation , 1996, hep-ph/9602315.

[58]  I. Shapiro.  Asymptotically finite theories and the screening of cosmological constant by quantum effects , 1994 .

[59]  I.L.Shapiro.  Asymptotically finite models and the screening of the cosmological constant by quantum effects , 1994, hep-th/9402150.

[60]  O. Bertolami,et al.  Quantum gravity and the large scale structure of the universe , 1993 .

[61]  P. Peebles.  Principles of Physical Cosmology , 1993 .

[62]  N. Tsamis,et al.  Relaxing the cosmological constant , 1993 .

[63]  J. C. Carvalho,et al.  Cosmological consequences of a time-dependent Lambda term. , 1992, Physical review. D, Particles and fields.

[64]  S. Odintsov,et al.  TWO-LOOP APPROACH TO THE EFFECTIVE ACTION IN QUANTUM GRAVITY , 1992 .

[65]  Fred Cooper,et al.  The dark matter problem and quantum gravity , 1992, gr-qc/9210005.

[66]  J. Solà.  Scale gauge symmetry and the standard model , 1990 .

[67]  J. Solà.  The cosmological constant and the fate of the cosmon in Weyl conformal gravity , 1989 .

[68]  C. Wetterich.  COSMOLOGY AND THE FATE OF DILATATION SYMMETRY , 1988, 1711.03844.

[69]  P. Peebles,et al.  Cosmology with a Time Variable Cosmological Constant , 1988 .

[70]  S. Barr,et al.  Attempt at a classical cancellation of the cosmological constant. , 1987, Physical review. D, Particles and fields.

[71]  C. Wetterich,et al.  Adjusting the cosmological constant dynamically: Cosmons and a new force weaker than gravity , 1987 .

[72]  Ford.  Cosmological-constant damping by unstable scalar fields. , 1987, Physical review. D, Particles and fields.

[73]  C. Wetterich,et al.  Time evolution of the cosmological “constant” , 1987 .

[74]  F. Águila,et al.  The cosmological constant, non-compact symmetries and Weyl invariance , 1986 .

[75]  Orfeu Bertolami,et al.  Time-dependent cosmological term , 1986 .

[76]  L. Abbott.  A mechanism for reducing the value of the cosmological constant , 1985 .

[77]  P. Panangaden,et al.  Universality and quantum garvity , 1984 .

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

[79]  F. Wilczek.  Foundations and working pictures in microphysical cosmology , 1984 .

[80]  M. Milgrom.  A modification of the newtonian dynamics as a possible alternative to the hidden mass hypothesis , 1983 .

[81]  Prakash Panangaden,et al.  Scaling behavior of interacting quantum fields in curved spacetime , 1982 .

[82]  Michael S. Turner,et al.  The early Universe , 1981, Nature.

[83]  J. R. Fisher,et al.  A New method of determining distances to galaxies , 1975 .

[84]  T. Appelquist,et al.  Infrared Singularities and Massive Fields , 1975 .

[85]  R. Chapman,et al.  Vibrational states of 207Tl , 1969 .

[86]  John Ellis,et al.  Int. J. Mod. Phys. , 2005 .

[87]  A. Bonanno,et al.  Cosmological Perturbations in Renormalization Group Derived Cosmologies , 2004 .

[88]  D. Cline.  Sources and detection of dark matter and dark energy in the universe : proceedings of the 10th UCLA Symposium on Sources and Detection of Dark Matter and Dark Energy in the Universe, February 22-24, 2012, Marina del Rey, California , 2001 .

[89]  Thanu Padmanabhan,et al.  Structure formation in the universe , 1993 .

[90]  Sergei D. Odintsov,et al.  Effective Action in Quantum Gravity , 1992 .

[91]  Steven Weinberg,et al.  The Cosmological Constant Problem , 1989 .