Non Abelian Fields in Very Special Relativity
arXiv:1305.1577 · doi:10.1103/PhysRevD.88.085023
Abstract
We study non-Abelian fields in the context of very special relativity (VSR). For this we define the covariant derivative and the gauge field gauge transformations, both of them involving a fixed null vector , related to the VSR breaking of the Lorentz group to the Hom(2) or Sim(2) subgroups. As in the Abelian case the gauge field becomes massive. Moreover we show that the VSR gauge transformations form a closed algebra. We then write actions coupling the gauge field to various matter fields (bosonic and fermionic). We mention how we can use the spontaneous symmetry breaking mechanism to give a flavor dependent VSR mass to the gauge bosons. Finally, we quantize the model using the BRST formalism to fix the gauge. The model is renormalizable and unitary and for non abelian groups, asymptotically free.
11 pages, latex
References in corpus (11)
- Very Special Relativity
- General Very Special Relativity is Finsler Geometry
- Very special relativity as relativity of dark matter: the Elko connection
- On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
- A Lorentz-Violating Origin of Neutrino Mass?
- The Photon Sector in the Quantum Myers-Pospelov Model: An improved description
- SIM(2)-invariant Modifications of Electrodynamic Theory
- Sim(2) and SUSY
- Very Special Relativity in Curved Space-Times
- Very Special (de Sitter) Relativity
- Very Special Relativity and Lorentz Violating Theories
Cited by in corpus (33)
- Electroweak standard model with very special relativity
- On the photon mass in Very Special Relativity
- Super-Yang-Mills Theory in SIM(1) Superspace
- Dirac equation in very special relativity for hydrogen atom
- Quantum Gauge Freedom in Very Special Relativity
- Chern-Simons Theory in SIM(1) Superspace
- Very Special Relativity and Lorentz Violating Theories
- Born-Infeld electrodynamics in very special relativity
- Lorentz Violating -form Gauge Theories in Superspace
- Quantum field theory with a preferred direction: The very special relativity framework
- Axion Mass Bound in Very Special Relativity
- Phenomenological Implications of Very Special Relativity
- SIM--VSR Maxwell-Chern-Simons electrodynamics
- On the axial anomaly in Very Special Relativity
- Renormalization of Very Special Relativity gauge theories
- Lorentz Violation in Finsler Geometry
- Tree-level processes in very special relativity
- Thermal effects of Very Special Relativity Quantum Electrodynamics
- Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
- Effect of VSR invariant Chern-Simon Lagrangian on photon polarization
- Finite BRST Mapping in Higher Derivative Models
- Induced non-Abelian Chern-Simons effective action in very special relativity
- Graviton Mass Bounds in Very Special Relativity from Binary Pulsar's Gravitational Waves
- Unitarity and non-relativistic potential energy in a higher-order Lorentz symmetry breaking electromagnetic model
- An alternative approach concerning Elko spinors and the hidden unitarity
- Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity
- Casimir effect in Very Special Relativity at finite temperature
- Adler-Bell-Jackiw anomaly in VSR electrodynamics
- Photon-Photon Scattering in Very Special Relativity
- VSL-Gravity in light of PSR B1913+16 Full Data Set: Upper limits on graviton mass and its theoretical consequences
- Infrared Regularization of Very Special Relativity Models
- Classifying deviation from standard quantum behavior using Kullback Leibler divergence
- Meson spectrum in revisited