Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model

Abstract

In this paper, we study the spontaneous Lorentz symmetry breaking for a four-dimensional massless four-fermion model. Our methodology is based on use of the rationalized propagator. We show that a bumblebee potential arises as a result of one-loop calculations and displays nontrivial minima. Also we demonstrate that a phase transition restoring Lorentz invariance can occur at a finite temperature.

arXiv comment12 pages, version accepted to PRD

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• One-loop radiative corrections in bumblebee-Stueckelberg model
• Horava-Lifshitz four-fermion model revisited and dynamical symmetry breaking
• One-loop corrections in Maxwell-metric-affine bumblebee gravity
• Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with finite temperature and chemical potential
• Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model
• Derivative four-fermion model, effective action and bumblebee generation
• Reconciling LSND and super-Kamiokande data through the dynamical Lorentz symmetry breaking in a four-Majorana fermion model
• Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics
• Fermionic Solutions of a Five-Dimensional Chern-Simons AdS Supergravity without Gravitino