Gravity, Lorentz violation, and the standard model

By A. Kostelecky. 2003

1,019 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f1b880edf6f4ea972eea2377119217ba54248771

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Citations in the corpus

Deep Underground Neutrino Experiment (DUNE), Far Detector Technical Design Report, Volume II: DUNE Physics (2020, neutral): “The comprehensive realistic effective field theory for Lorentz and CPT violation, the standard-model extension (SME) [231, 232, 233, 234], is a powerful and calculable framework for analyzing experimental data.”
Astrophysical Tests of Lorentz and CPT Violation with Photons (2008, methodology): “At attainable energies, violations of Lorentz invariance are described by a framework called the StandardModel Extension (SME) (Colladay & Kostelecký 1997, 1998; Kostelecký 2004) that is based on effective field theory (Kostelecký & Potting 1995).”