Gravity, Lorentz violation, and the standard model
Abstract
The role of the gravitational sector in the Lorentz- and CPT-violating standard-model extension (SME) is studied. A framework is developed for addressing this topic in the context of Riemann-Cartan spacetimes, which include as limiting cases the usual Riemann and Minkowski geometries. The methodology is first illustrated in the context of the QED extension in a Riemann-Cartan background. The full SME in this background is then considered, and the leading-order terms in the SME action involving operators of mass dimension three and four are constructed. The incorporation of arbitrary Lorentz and CPT violation into general relativity and other theories of gravity based on Riemann-Cartan geometries is discussed. The dominant terms in the effective low-energy action for the gravitational sector are provided, thereby completing the formulation of the leading-order terms in the SME with gravity. Explicit Lorentz symmetry breaking is found to be incompatible with generic Riemann-Cartan geometries, but spontaneous Lorentz breaking evades this difficulty.
- Publication:
-
Physical Review D
- Pub Date:
- May 2004
- DOI:
- 10.1103/PhysRevD.69.105009
- arXiv:
- arXiv:hep-th/0312310
- Bibcode:
- 2004PhRvD..69j5009K
- Keywords:
-
- 11.30.Cp;
- 04.50.+h;
- 11.30.Er;
- 12.60.-i;
- Lorentz and Poincare invariance;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Charge conjugation parity time reversal and other discrete symmetries;
- Models beyond the standard model;
- High Energy Physics - Theory;
- Astrophysics;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology
- E-Print:
- 21 pages REVTeX, references added, accepted in Physical Review D