2015/02/28 by T. R. S. Santos, Tiago R. S. Santos, R. F. Sobreiro +1
Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #CPT symmetry #Effective action #Functional renormalization group #Homogeneous space #Lorentz covariance #Lorentz transformation #Mathematical physics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Particle physics #Perturbation theory (quantum mechanics) #Physics #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Theoretical physics #hep-th
paper · pdf · doi:10.1007/s13538-016-0423-6
published as Published in Braz J Phys (2016) 46: 437 · 24 pages, 4 figures. arXiv admin note: text overlap with arXiv:1404.4846
openalex publication_date 2016/05/31 · openalex created_date 2016/06/24 · arxiv created 2016/06/30 · arxiv updated 2016/07/01 · openalex updated_date 2026/08/05
In this work, we employ algebraic renormalization technique to show the renormalizability to all orders in perturbation theory of the Lorentz and CPT violating QED. Essentially, we control the breaking terms by using a suitable set of external sources. Thus, with the symmetries restored, a perturbative treatment can be consistently employed. After showing the renormalizability, the external sources attain certain physical values, which allow the recovering of the starting physical action. The main result is that the original QED action presents the three usual independent renormalization parameters. The Lorentz violating sector can be renormalized by nineteen independent parameters. Moreover, vacuum divergences appear with extra independent renormalization. Remarkably, the bosonic odd sector (Chern-Simons-like term) does not renormalize. One-loop computations are also presented and compared with the existing literature.