Radiatively induced Lorentz-violating operator of mass dimension five in QED

2010/10/31 by T. Mariz · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Dimension (graph theory) #Dimensionless quantity #Fermion #Lambda #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Particle physics #Physics #Quadratic growth #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Term (time) #hep-th

paper · pdf · doi:10.1103/physrevd.83.045018

published as Phys.Rev.D83:045018,2011 · 7 pages, revtex4; v2: references and a new section added, version to appear in Phys. Rev. D

arxiv created 2011/02/02 · openalex publication_date 2011/02/18 · arxiv updated 2011/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The first higher derivative term of the photon sector of Lorentz-violating QED, with an operator of mass dimension d=5, is radiatively induced from the fermion sector, which contains a derivative term with the dimensionless coefficient g^\ensuremathλ\ensuremathμ\ensuremathν. The calculation is performed perturbatively in the coefficient for Lorentz violation, and, due to the fact that the contributions are quadratically divergent, we adopt dimensional regularization.

Citations

• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Renormalization of Lorentz violating theories
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Quantization of the Myers-Pospelov model: The photon sector interacting with standard fermions as a perturbation of QED
• Lorentz violation and ultrahigh-energy photons
• Synchrotron radiation in Lorentz-violating electrodynamics: The Myers-Pospelov model
• Classification of dimension-5 Lorentz-violating interactions in the standard model
• Lorentz-violating extension of the standard model
• Lorentz-Violating Electrodynamics and the Cosmic Microwave Background
• Induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• CPTviolation and the standard model
• Data tables for Lorentz andCPTviolation
• Gravity, Lorentz violation, and the standard model

Cited by

• Quantum aspects of the higher-derivative Lorentz-breaking extension of QED
• Dimensional reduction of theCPT-even electromagnetic sector of the standard model extension