Lorentzviolating extension of the standard model
Abstract
In the context of conventional quantum field theory, we present a general Lorentzviolating extension of the minimal SU(3)×SU(2)×U(1) standard model including CPTeven and CPTodd terms. It can be viewed as the lowenergy limit of a physically relevant fundamental theory with Lorentzcovariant dynamics in which spontaneous Lorentz violation occurs. The extension has gauge invariance, energymomentum conservation, and covariance under observer rotations and boosts, while covariance under particle rotations and boosts is broken. The quantized theory is Hermitian and powercounting renormalizable, and other desirable features such as microcausality, positivity of the energy, and the usual anomaly cancellation are expected. Spontaneous symmetry breaking to the electromagnetic U(1) is maintained, although the Higgs expectation is shifted by a small amount relative to its usual value and the Z^{0} field acquires a small expectation. A general Lorentzbreaking extension of quantum electrodynamics is extracted from the theory, and some experimental tests are considered. In particular, we study modifications to photon behavior. One possible effect is vacuum birefringence, which could be bounded from cosmological observations by experiments using existing techniques. Radiative corrections to the photon propagator are examined. They are compatible with spontaneous Lorentz and CPT violation in the fermion sector at levels suggested by Planckscale physics and accessible to other terrestrial laboratory experiments.
 Publication:

Physical Review D
 Pub Date:
 December 1998
 DOI:
 10.1103/PhysRevD.58.116002
 arXiv:
 arXiv:hepph/9809521
 Bibcode:
 1998PhRvD..58k6002C
 Keywords:

 11.30.Er;
 12.60.i;
 12.20.Fv;
 41.20.Jb;
 Charge conjugation parity time reversal and other discrete symmetries;
 Models beyond the standard model;
 Experimental tests;
 Electromagnetic wave propagation;
 radiowave propagation;
 Astrophysics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 REVTex, 25 pages, accepted for publication in Physical Review D