One-loop renormalization of pure Yang-Mills theory with Lorentz violation

2006/09/08 by Don Colladay, Patrick McDonald, Pat McDonald
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #CPT symmetry #Cosmology and Gravitation Theories #Lorentz covariance #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Multiplicative function #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #hep-ph

paper · pdf · doi:10.1103/physrevd.75.105002

published as Phys.Rev.D75:105002,2007 · 14 pages

arxiv created 2006/09/08 · openalex publication_date 2007/05/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 counterterms are consistent with a single rescaling 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.

Citations

• Lorentz violation and short-baseline neutrino experiments
• Lorentz andCPTinvariance violation in high-energy neutrinos
• Gauge invariance and the Pauli-Villars regulator in Lorentz- and CPT-violating electrodynamics
• How accurately can one test CPT conservation with reactor and solar neutrino experiments?
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• Lorentz violation and Faddeev-Popov ghosts
• Reliable Perturbative Results for Strong Interactions?
• Signals for Lorentz violation in post-Newtonian gravity
• Casimir force in a Lorentz violating theory
• CPT-Odd Resonances in Neutrino Oscillations
• Lorentz andCPTviolation in neutrinos
• Lorentz-violating extension of the standard model
• CPTviolation and the standard model
• Gravity, Lorentz violation, and the standard model
• Probing new physics by comparing solar and KamLAND data
• Spontaneous breaking of Lorentz symmetry in string theory
• Conservation of Isotopic Spin and Isotopic Gauge Invariance