Asymptotic states and renormalization in Lorentz-violating quantum field theory

2014/01/31 by M. Cambiaso, Mauro Cambiaso, Ralf Lehnert +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #CPT symmetry #Cosmology and Gravitation Theories #Lorentz covariance #Lorentz factor #Lorentz transformation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Renormalization #Renormalization group #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.90.065003

published as Phys.Rev.D90:065003,2014 · 26 pages two-column REVTeX, 5 figures, pole extraction clarified, matches published version

openalex publication_date 2014/09/03 · arxiv created 2014/09/09 · arxiv updated 2014/09/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Asymptotic single-particle states in quantum field theories with small departures from Lorentz symmetry are investigated perturbatively with focus on potential phenomenological ramifications. To this end, one-loop radiative corrections for a sample Lorentz-violating Lagrangian contained in the Standard-Model Extension are studied at linear order in Lorentz breakdown. It is found that the spinor kinetic operator, and thus the free-particle physics, is modified by Lorentz-violating operators absent from the original Lagrangian. As a consequence of this result, both the standard renormalization procedure as well as the Lehmann-Symanzik-Zimmermann reduction formalism need to be adapted. The necessary adaptations are worked out explicitly at first order in Lorentz-breaking coefficients.

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Cited by

• Lorentz and CPT tests with clock-comparison experiments
• Lorentz andCPTtests with hydrogen, antihydrogen, and related systems