Free Energy on a Cycle Graph and Trigonometric Deformation of Heat Kernel Traces on Odd Spheres

Abstract

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.

21 pages, 7 figures. typos fixed, references added

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Cited by in corpus (1)

• Deconstructing the Gel'fand--Yaglom method and vacuum energy from a theory space