Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of the Path Integral for Fermions in Cartesian and Spherical
  Coordinates   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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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an