Gravity, Lorentz violation, and the standard model

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.…

• UD
  U.S. Department of Energy

  Awards: FG02-91ER40661, DE-FG02-91ER40661, DE-FG02-, DE-FG02
• NA
  National Aeronautics and Space Administration