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

Autor: Monin, A.
Rok vydání: 2016
Předmět:
Zdroj: Phys. Rev. D 94, 085013 (2016)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.94.085013
Popis: 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.
Comment: 20 pages
Databáze: arXiv