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arXiv · 1607.06493

Partition function on spheres: how (not) to use zeta function regularization

A. Monin
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Abstract

It is known that not all summation methods are linear and stable. Zeta function regularization is in general non-linear. However, in some cases formal manipulations with "zeta function" regularization (assuming linearity of sums) lead to correct results. We consider several examples and show why this happens.

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A. Monin. 2016-07-19. Partition function on spheres: how (not) to use zeta function regularization. https://doi.org/10.1103/physrevd.94.085013

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