Partition function on spheres: how (not) to use zeta function regularization
High Energy Physics - Theory
2016-10-26 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1607.06493,
title = {Partition function on spheres: how (not) to use zeta function regularization},
author = {A. Monin},
journal= {arXiv preprint arXiv:1607.06493},
year = {2016}
}
Comments
20 pages