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Perturbative Aspects of CPT-Even Lorentz-Violating Scalar Chromodynamics

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arxiv 2304.03025 v2 pith:KJ24MTK3 submitted 2023-04-06 hep-th

B. Altschul , L. C. T. Brito , J. C. C. Felipe , S. Karki , A. C. Lehum , A. Yu. Petrov This is my paper · ORCID
classification hep-th
keywords theorylorentz-violatingchromodynamicsgroupquantumscalararbitraryaspects
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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.

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  1. On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects

    hep-th 2024-11 conditional novelty 6.0 of 10

    A gauge-invariant massive extension of Lorentz-violating Yang-Mills theory is constructed, along with a BRST-invariant refined Gribov-Zwanziger action and its tree-level propagator.

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