Partition function on spheres: how (not) to use zeta function regularization
arXiv:1607.06493 · doi:10.1103/PhysRevD.94.085013
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.
20 pages
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