Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale

Abstract

The notion of uniform and/or constant tensor fields of rank $>0$ is incompatible with general curved spacetimes. This work considers the consequences of certain tensor-valued coefficients for Lorentz violation in the Standard-Model Extension varying with spacetime position. We focus on two of the coefficients, $a_{\mu }$ and $b_{\mu }$, that characterize Lorentz violation in massive fermions, particularly in those fermions that constitute ordinary matter. We calculate the nonrelativistic hamiltonian describing these effects, and use it to extract the sensitivity of several precision experiments to coefficient variation.

8 pages; v2 has a paragraph added to subsection II.B.1

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Cited by in corpus (9)

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• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Searches for beyond-Riemann gravity
• Gravity Theories with Background Fields and Spacetime Symmetry Breaking
• Velocity-dependent inverse cubic force and solar system gravity tests
• Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
• Matters of Gravity, The Newsletter of the Division of Gravitational Physics of the American Physical Society, Volume 48, December 2016