Casimir effects on Riemann surfaces

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The Casimir effect whose existence was first predicted by Casimir in 1948 is considered as a manifestation of macroscopic quantum field theory. This force is evaluated theoretically by using the value of the Riemann zeta function at -3. The aim of the present paper is to introduce a similar Casimir energy for a Riemann surface, and to express it by a special value of the Mellin transform of a theta series arising from the heat kernel and also by a weighted integral of the logarithm of the Selberg zeta function.

Original languageEnglish
Pages (from-to)63-75
Number of pages13
JournalIndagationes Mathematicae
Volume13
Issue number1
DOIs
Publication statusPublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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