Structural aspects of Lorentz-violating quantum field theory

M. Cambiaso, R. Lehnert, R. Potting

Research output: Contribution to journalConference articlepeer-review


In the last couple of decades the Standard Model Extension has emerged as a fruitful framework to analyze the empirical and theoretical extent of the validity of cornerstones of modern particle physics, namely, of Special Relativity and of the discrete symmetries C, P and T (or some combinations of these). The Standard Model Extension allows to contrast high-precision experimental tests with posited alterations representing minute Lorentz and/or CPT violations. To date no violation of these symmetry principles has been observed in experiments, mostly prompted by the Standard-Model Extension. From the latter, bounds on the extent of departures from Lorentz and CPT symmetries can be obtained with ever increasing accuracy. These analyses have been mostly focused on tree-level processes. In this presentation I would like to comment on structural aspects of perturbative Lorentz violating quantum field theory. I will show that some insight coming from radiative corrections demands a careful reassessment of perturbation theory. Specifically I will argue that both the standard renormalization procedure as well as the Lehmann-Symanzik-Zimmermann reduction formalism need to be adapted given that the asymptotic single-particle states can receive quantum corrections from Lorentz-violating operators that are not present in the original Lagrangian.

Original languageEnglish
Article number012005
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 22 Feb 2018
EventInternational Workshop on CPT and Lorentz Symmetry in Field Theory 2017 - Faro, Portugal
Duration: 6 Jul 20177 Jul 2017

ASJC Scopus subject areas

  • General Physics and Astronomy


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