Renormalization group running of the parity operator in Lorentz-violating quantum field theory
Year: 2025
Type: article
Abstract: In conventional relativistic quantum field theory, the discrete operators C , P , and T are matrix operators with no renormalization scale dependence. However, in a Lorentz-violating theory with a fermion f μ term in the action, these operators may acquire nontrivial renormalization group behavior. Because the f μ term may actually be exchanged in the action for an equivalent c ν μ term, the scale dependence depends explicitly on the renormalization scheme, even at one-loop order. The scheme dependence means it is always possible to set the scale dependence parameter 1 − X to zero, but for analyses of some high-energy electron-photon processes, using a scheme with X = 0 —and thus definite scale dependences for C , P , and T —may nonetheless be more convenient.
DOI: 10.1103/hb36-j93h
Author: Brett Altschul
Institution: University of South Carolina
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4417515611