Casimir effects on Riemann surfaces

Nobushige Kurokawa, Masato Wakayama

研究成果: Contribution to journalArticle査読

11 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)63-75
ページ数13
ジャーナルIndagationes Mathematicae
13
1
DOI
出版ステータス出版済み - 2002
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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