Renormalization in a Lorentz-violating model and higher-order operators

Abstract

The renormalization in a Lorentz-breaking scalar-spinor higher-derivative model involving ${\varphi }^4$ self-interaction and the Yukawa-like coupling is studied. We explicitly de- monstrate that the convergence is improved in comparison with the usual scalar-spinor model, so, the theory is super-renormalizable, with no divergences beyond four loops. We compute the one-loop corrections to the propagators for the scalar and fermionic fields and show that in the presence of higher-order Lorentz invariance violation, the poles that dominate the physical theory, are driven away from the standard on-shell pole mass due to radiatively induced lower dimensional operators. The new operators change the standard gamma-matrix structure of the two-point functions, introduce large Lorentz-breaking corrections and lead to modifications in the renormalization conditions of the theory. We found the physical pole mass in each sector of our model.

20 pages, 5 figures. New version with modifications in the renormalized Lagrangian. To be published in EPJC

References in corpus (15)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
• Aether Compactification
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• Spontaneous Breaking of Lorentz Invariance
• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Living with Ghosts and their Radiative Corrections
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• On the Lorentz-breaking theory with higher derivatives in spinor sector
• Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning
• Quantum Corrections to Lorentz Invariance Violating Theories: Fine-Tuning Problem
• Myers-Pospelov Model as an Ensemble of Pais-Uhlenbeck Oscillators: Unitarity and Lorentz Invariance Violation
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• Renormalization Of High-Energy Lorentz Violating Four Fermion Models
• On the decoupling of heavy states in higher-derivative supersymmetric field theories

Cited by in corpus (10)

• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Higher-derivative Lorentz-breaking dispersion relations: a thermal description
• Radiative corrections and Lorentz violation
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Perturbative unitarity and higher-order Lorentz symmetry breaking
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector