One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation

Abstract

The explicit one-loop renormalizability of pure Yang-Mills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counter terms are consistent with a single re-scaling of the Lorentz-violation parameters. In addition, the resulting beta functions indicate that the CPT-even Lorentz-violating terms increase with energy scale in opposition to the asymptotically free gauge coupling and CPT-odd terms. The calculations are performed at lowest-order in the Lorentz-violating terms as they are assumed small.

14 pages

References in corpus (34)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• Signals for Lorentz Violation in Electrodynamics
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Lorentz and CPT Violation in Neutrinos
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• Analytical construction of a nonperturbative vacuum for the open bosonic string
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Lorentz and CPT Violation in the Neutrino Sector
• Lorentz Violation and Short-Baseline Neutrino Experiments
• Global three-parameter model for neutrino oscillations using Lorentz violation
• Physics Reach of High-Energy and High-Statistics IceCube Atmospheric Neutrino Data
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• CPT-odd Resonances in Neutrino Oscillations
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Off-shell structure of the string sigma model
• Redefining Spinors in Lorentz-Violating QED
• Spontaneous Lorentz Violation and Nonpolynomial Interactions
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• Lorentz and CPT Violating Chern-Simons Term in the Formulation of Functional Integral
• Lorentz and CPT Invariance Violation In High-Energy Neutrinos
• How accurately can one test CPT conservation with reactor and solar neutrino experiments?
• The Casimir Force in a Lorentz Violating Theory
• Understanding Radiatively Induced Lorentz-CPT Violation in Differential Regularization
• Probing New Physics by Comparing Solar and KamLAND Data
• Neutrino Constraints on Spontaneous Lorentz Violation
• Lorentz Violation and Faddeev-Popov Ghosts
• Yang-Mills Instantons with Lorentz Violation

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• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
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• On Lorentz-Violating Supersymmetric Quantum Field Theories
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
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• Mass Renormalization in Lorentz-violating Scalar Field Theory
• Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
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• Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
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• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
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• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Relaxing Lorentz invariance in general perturbative anomalies
• Lorentz Violation and Alpha-Decay
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• Higher-order one-loop renormalization in the spinor sector of minimal LV extended QED
• Gauge field spectrum in massive Yang-Mills theory with Lorentz violation
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• Problems with Lorentz Violation Originating From a Cosmologically Varying Pseudoscalar Field
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• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• CPT, Lorentz invariance and anomalous clash of symmetries
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Antimatter-Gravity Couplings, and Lorentz Symmetry