2006/07/31 by Guilherme de Berredo-Peixoto, G. de Berredo-Peixoto, Ilya L. Shapiro +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #CPT symmetry #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Dimensionless quantity #Geometry #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Renormalization #Spacetime #hep-th
paper · pdf · doi:10.1016/j.physletb.2006.08.077
published as Phys.Lett. B642 (2006) 153-159 · 11 pages, LaTeX file. Minor improvements and new references added. Accepted in Physics Letters B
arxiv created 2006/08/27 · openalex publication_date 2006/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the one-loop renormalization of QED in curved space-time with additional Lorentz and/or CPT breaking terms. The renormalization group equations in the vacuum sector are derived. In the special case of Minkowski metric and with constant Lorentz and CPT breaking terms these equations reduce to the ones obtained earlier by other authors. The necessary form of the vacuum counterterms indicate possible violations of the space or time homogeneity or space isotropy in the gravitational phenomena. However, the necessity of the phenomenologically most interesting terms such as linear in the space-time curvature or torsion, is related to the non-constant nature of the dimensionless Lorentz and CPT breaking parameters.