Partition function on spheres: How to use zeta function regularization

Alexander Monin
Phys. Rev. D 94, 085013 – Published 19 October 2016

Abstract

It is known that not all summation methods are linear and stable. Zeta function regularization is in general nonlinear. 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.

  • Received 4 August 2016

DOI:https://doi.org/10.1103/PhysRevD.94.085013

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Alexander Monin*

  • Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland

  • *alexander.monin@epfl.ch

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Issue

Vol. 94, Iss. 8 — 15 October 2016

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