Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model
arXiv:1905.04130 · doi:10.1140/epjc/s10052-019-7068-x
Abstract
We consider the four-fermion Lifshitz model, introduce in this model an auxiliary vector field, and generate an effective dynamics for this field. We explicitly demonstrate that within this dynamics, the effective bumblebee potential for the vector field naturally arises as a one-loop correction and allows for the dynamical breaking of the rotational symmetry.
arXiv comment12 pages, minor corrections based on Errata
References in corpus (21)
- Quantum Gravity at a Lifshitz Point
- Gravity, Lorentz Violation, and the Standard Model
- Emergent Gravity and the Dark Universe
- Weighted power counting and Lorentz violating gauge theories. II: Classification
- Generalized bumblebee models and Lorentz-violating electrodynamics
- Weighted scale invariant quantum field theories
- On Higher Spatial Derivative Field Theories
- On the effective potential for Horava-Lifshitz-like theories
- On the Horava-Lifshitz-like Gross-Neveu model
- Callan-Symanzik-Lifshitz approach to generic competing systems
- On Ward Identities in Lifshitz-like Field Theories
- Axial anomalies of Lifshitz fermions
- Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
- Callan-Symanzik method for -axial Lifshitz points
- Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model
- Chern-Simons terms in Lifshitz like quantum electrodynamics
- Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
- On one-loop corrections in the Horava-Lifshitz-like QED
- On the radiative corrections in the Horava-Lifshitz z=2 QED
- On the Adler-Bell-Jackiw anomaly in a Horava-Lifshitz-like QED
- One-loop corrections in the z=3 Lifshitz extension of QED