Perturbative Aspects of CPT-Even Lorentz-Violating Scalar Chromodynamics

Abstract

In this work, we formulate the theory of Lorentz-violating scalar Quantum Chromodynamics with an arbitrary non-Abelian gauge group. This theory belongs to the class of models encompassed by the standard model extension framework. At the lowest order in the theory's Lorentz violation parameters, we calculate the divergent quantum corrections, including the renormalization group $\beta$-functions of the theory. The Lorentz-violating sector is shown to be scale invariant if there is a particular relation between the couplings.

18 pages, matches published version

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Cited by in corpus (4)

• Nonminimal planar electrodynamics modified by higher-derivative terms
• Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects