2025/09/29 by Altschul, Brett
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2509.25488
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 fμ term in the action, these operators may acquire nontrivial renormalization group behavior. Because the fμ term may actually be exchanged in the action for an equivalent cνμ 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 X to zero, but for analyses of some high-energy electron-photon processes, using a scheme with X=1--and thus definite scale dependence for C, P, and T--may nonetheless be more convenient.