Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale

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 t...

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description 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.
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subjects Coefficient of variation
Fermions
Physics - General Relativity and Quantum Cosmology
Spacetime
Tensors
title Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
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