Renormalization scheme dependence of β-functions in Lorentz-violating quantum field theory

Effective quantum field theories that allow for the possibility of Lorentz symmetry violation can sometimes also include redundancies of description in their Lagrangians. Explicit calculations in a Lorentz-violating generalization of Yukawa theory show that when this kind of redundancy exists, different renormalization schemes may lead to different expressions for the renormalization group beta-functions, even at only one-loop order. However, the renormalization group scaling of physically observable quantities appears not to share this kind of scheme dependence.

Automated summary

This article investigates redundancies of description in effective quantum field theories that allow for the possibility of Lorentz symmetry violation. The study shows that different renormalization schemes may lead to different expressions for the renormalization group beta-functions, but the renormalization group scaling of physically observable quantities appears not to be affected by this scheme dependence.