Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free Energy on a Cycle Graph and Trigonometric Deformation of Heat
  Kernel Traces on Odd Spheres   We consider a possible `deformation' of the trace of the heat kernel on odd
dimensional spheres, motivated by the calculation of the free energy of a
scalar field on a discretized circle. By using an expansion in terms of the
modified Bessel functions, we obtain the values of the free energies after a
suitable regularization.

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci