Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates
High Energy Physics - Theory
2013-07-08 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1109.5846,
title = {Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates},
author = {Andrew Briggs and Horacio E. Camblong and Carlos R. Ordonez},
journal= {arXiv preprint arXiv:1109.5846},
year = {2013}
}
Comments
16 pages