Quantized Abelian Principal Connections on Lorentzian Manifolds

[1]  M. Benini,et al.  Quantum Field Theory on Curved Backgrounds -- A Primer , 2013, 1306.0527.

[2]  K. Sanders,et al.  Electromagnetism, Local Covariance, the Aharonov–Bohm Effect and Gauss’ Law , 2012, 1211.6420.

[3]  J. Zahn.  The renormalized locally covariant Dirac field , 2012, 1210.4031.

[4]  M. Benini,et al.  Quantum Field Theory on Affine Bundles , 2012, Annales Henri Poincaré.

[5]  Thomas-Paul Hack,et al.  Linear bosonic and fermionic quantum gauge theories on curved spacetimes , 2012, 1205.3484.

[6]  C. Fewster,et al.  QUANTIZATION OF LINEARIZED GRAVITY IN COSMOLOGICAL VACUUM SPACETIMES , 2012, 1203.0261.

[7]  C. Fewster.  Endomorphisms and automorphisms of locally covariant quantum field theories , 2012, 1201.3295.

[8]  K. Fredenhagen,et al.  Batalin-Vilkovisky Formalism in Perturbative Algebraic Quantum Field Theory , 2011, Communications in Mathematical Physics.

[9]  G. Harder.  Lectures on algebraic geometry I: sheaves, cohomology of sheaves, and applications to Riemann surfaces / Gunter Harder , 2011 .

[10]  C. Dappiaggi,et al.  Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes , 2011, 1106.5575.

[11]  R. Verch,et al.  Dynamical Locality and Covariance: What Makes a Physical Theory the Same in all Spacetimes? , 2011, 1106.4785.

[12]  C. Dappiaggi,et al.  Quantization of Maxwell’s Equations on Curved Backgrounds and General Local Covariance , 2011, 1104.1374.

[13]  Christian Baer,et al.  Classical and Quantum Fields on Lorentzian Manifolds , 2011, 1104.1158.

[14]  M. Pfenning.  Quantization of the Maxwell field in curved spacetimes of arbitrary dimension , 2009, 0902.4887.

[15]  Romeo Brunetti,et al.  Perturbative Algebraic Quantum Field Theory and the Renormalization Groups , 2009, 0901.2038.

[16]  S. Hollands.  Renormalized Quantum Yang-Mills Fields in Curved Spacetime , 2007, 0705.3340.

[17]  Christian Baer,et al.  Wave Equations on Lorentzian Manifolds and Quantization , 2007, 0806.1036.

[18]  A. Bernal,et al.  Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic Spacetimes , 2004, gr-qc/0401112.

[19]  Leila Schneps,et al.  Hodge theory and complex algebraic geometry , 2002 .

[20]  K. Fredenhagen,et al.  Communications in Mathematical Physics The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory , 2022 .

[21]  R. Verch.  A Spin-Statistics Theorem for Quantum Fields¶on Curved Spacetime Manifolds¶in a Generally Covariant Framework , 2001, math-ph/0102035.

[22]  Albert Schwarz,et al.  Topological quantum field theories , 2000, hep-th/0011260.

[23]  W. Hsiang,et al.  Lectures on Lie Groups , 1998 .

[24]  D. Marolf.  The Generalized Peierls Bracket , 1993, hep-th/9308150.

[25]  J. Dimock.  Quantized electromagnetic field on a manifold , 1992 .

[26]  Loring W. Tu,et al.  Differential forms in algebraic topology , 1982, Graduate texts in mathematics.

[27]  P. Bongaarts.  Maxwell’s equations in axiomatic quantum field theory. I. Field tensor and potentials , 1977 .

[28]  F. Strocchi.  Gauge Problem in Quantum Field Theory. III. Quantization of Maxwell Equations and Weak Local Commutativity , 1970 .

[29]  R. Peierls.  The commutation laws of relativistic field theory , 1952, Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences.

[30]  P. Michor,et al.  Natural operations in differential geometry , 1993 .

[31]  L. Biedenharn,et al.  Gauge problem in quantum field theory , 1971 .

[32]  M. Atiyah.  Complex analytic connections in fibre bundles , 1957 .