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arXiv · 1109.5846

Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates

Andrew Briggs·Horacio E. Camblong·Carlos R. Ordonez
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Abstract

The path-integral calculation for the free energy of a spin-1/2 Dirac-fermion gas is performed in spherical polar coordinates for a flat spacetime geometry. Its equivalence with the Cartesian-coordinate representation is explicitly established. This evaluation involves a relevant limiting case of the fermionic path integral in a Schwarzschild background, whose near-horizon limit has been shown to be related to black hole thermodynamics.

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Andrew Briggs, Horacio E. Camblong, Carlos R. Ordonez. 2013-07-05. Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates. https://doi.org/10.1142/s0217751x13500474

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