Renormalization Scheme Dependence of $\beta$-Functions In Lorentz-Violating Quantum Field Theory

Abstract

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.

24 pages

References in corpus (10)

• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Eliminating the CPT-Odd f Coefficient from the Lorentz-Violating Standard Model Extension
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• On the renormalization of CPT/Lorentz violating QED in curved space
• The emergence of a universal limiting speed
• On the assertion that PCT violation implies Lorentz non-invariance
• Effect of Scheme Transformations on a Beta Function with Vanishing One-Loop Term

Cited by in corpus (2)

• Aspects of the Equivalence Between the $f^{\mu }$ and $c^{\nu \mu }$ Terms in Lorentz-Violating Quantum Field Theory
• Renormalization Group Running of the Parity Operator in Lorentz-Violating Quantum Field Theory