Nahomi Kan, Kiyoshi Shiraishi
Published 2016-12-21Version 1
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.
Comments: 21 pages, 7 figures
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