Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-07-29
Phys.Rev. D70 (2004) 125007
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, revtex
Scientific paper
10.1103/PhysRevD.70.125007
The theory of statistical mechanics is studied in the presence of Lorentz-violating background fields. The analysis is performed using the Standard-Model Extension (SME) together with a Jaynesian formulation of statistical inference. Conventional laws of thermodynamics are obtained in the presence of a perturbed hamiltonian that contains the Lorentz violating terms. As an example, properties of the nonrelativistic ideal gas are calculated in detail. To lowest order in Lorentz violation, the scalar thermodynamic variables are only corrected by a rotationally invariant combination of parameters that mimics a (frame dependent) effective mass. Spin couplings can induce a temperature independent polarization in the classical gas that is not present in the conventional case. Precision measurements in the residual expectation values of the magnetic moment of Fermi gases in the limit of high temperature may provide interesting limits on these parameters.
Colladay Don
McDonald Patrick
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