Lorentz-violating extension of the standard model
- 26 October 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 58 (11), 116002
- https://doi.org/10.1103/physrevd.58.116002
Abstract
In the context of conventional quantum field theory, we present a general Lorentz-violating extension of the minimal standard model including -even and -odd terms. It can be viewed as the low-energy limit of a physically relevant fundamental theory with Lorentz-covariant dynamics in which spontaneous Lorentz violation occurs. The extension has gauge invariance, energy-momentum conservation, and covariance under observer rotations and boosts, while covariance under particle rotations and boosts is broken. The quantized theory is Hermitian and power-counting 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 field acquires a small expectation. A general Lorentz-breaking 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 violation in the fermion sector at levels suggested by Planck-scale physics and accessible to other terrestrial laboratory experiments.
Other Versions
This publication has 63 references indexed in Scilit:
- violation and the standard modelPhysical Review D, 1997
- Expectation values, Lorentz invariance, and CPT in the open bosonic stringPhysics Letters B, 1996
- TestingCPTinvariance with the neutral-DsystemPhysical Review D, 1995
- CPT, strings, and meson factoriesPhysical Review D, 1995
- Tests of direct and indirect CPT violation at a B factoryPhysics Letters B, 1995
- CPT and stringsNuclear Physics B, 1991
- Photon and graviton masses in string theoriesPhysical Review Letters, 1991
- Gravitational phenomenology in higher-dimensional theories and stringsPhysical Review D, 1989
- Phenomenological gravitational constraints on strings and higher-dimensional theoriesPhysical Review Letters, 1989
- Spontaneous breaking of Lorentz symmetry in string theoryPhysical Review D, 1989