One-Loop Renormalization of QCD with Lorentz Violation

Abstract

The explicit one-loop renormalizability of the gluon sector of QCD 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.

6 pages, revtex

References in corpus (24)

• 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 Post-Newtonian Gravity
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• 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
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Lorentz-violating electrodynamics and the cosmic microwave background
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• 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
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• The Casimir Force in a Lorentz Violating Theory
• Understanding Radiatively Induced Lorentz-CPT Violation in Differential Regularization
• On the renormalization of CPT/Lorentz violating QED in curved space
• Lorentz Violation and Faddeev-Popov Ghosts
• Yang-Mills Instantons with Lorentz Violation

Cited by in corpus (50)

• Matter-gravity couplings and Lorentz violation
• Neutrinos with Lorentz-violating operators of arbitrary dimension
• What Do We Know About Lorentz Invariance?
• Lorentz violation with an antisymmetric tensor
• Massive photons and Lorentz violation
• Classical-physics applications for Finsler $b$ space
• Renormalization of Scalar and Yukawa Field Theories with Lorentz Violation
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• Classical Lagrangians for Momentum Dependent Lorentz Violation
• Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
• Lorentz violation and deep inelastic scattering
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• The Källén-Lehmann representation for Lorentz-violating field theory
• Mass Renormalization in Lorentz-violating Scalar Field Theory
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Three-loop field renormalization for scalar field theory with Lorentz violation
• Relaxing Lorentz invariance in general perturbative anomalies
• Implications of Lorentz violation on Higgs-mediated lepton flavor violation
• Beta-Decay Spectrum and Lorentz Violation
• Gauge field spectrum in massive Yang-Mills theory with Lorentz violation
• Higher-order one-loop renormalization in the spinor sector of minimal LV extended QED
• Problems with Lorentz Violation Originating From a Cosmologically Varying Pseudoscalar Field
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Factoring the Dispersion Relation in the Presence of Lorentz Violation
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• All-loop order critical exponents for massless scalar field theory with Lorentz violation in the BPHZ method
• Perturbative Aspects of CPT-Even Lorentz-Violating Scalar Chromodynamics
• Antimatter, the SME, and Gravity
• No one-loop gauge anomalies for a Lorentz-violating quantum electrodynamics: Evaluation of the three-photon vertex
• Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory
• Energy Positivity, Non-Renormalization, and Holomorphy in Lorentz-Violating Supersymmetric Theories
• Aspects of the Equivalence Between the $f^{\mu }$ and $c^{\nu \mu }$ Terms in Lorentz-Violating Quantum Field Theory
• Renormalization Scheme Dependence of $\beta$-Functions In Lorentz-Violating Quantum Field Theory
• Unconventional minimal subtraction and Callan-Symanzik methods for Lorentz-violating scalar field theories at all loop orders
• The full Lorentz-violating vacuum polarization tensor: low and high energy limits
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• Indications against dynamical CPT symmetry restoration in quantum gravity
• Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations
• CPT-symmetry studies with antihydrogen
• Antimatter-Gravity Couplings, and Lorentz Symmetry
• Renormalization Group Running of the Parity Operator in Lorentz-Violating Quantum Field Theory
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• CPT, Lorentz invariance and anomalous clash of symmetries