Casimir effects on Riemann surfaces

Nobushige Kurokawa; Masato Wakayama

doi:10.1016/S0019-3577(02)90006-6

Casimir effects on Riemann surfaces

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journal › Article › peer-review

12 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 language	English
Pages (from-to)	63-75
Number of pages	13
Journal	Indagationes Mathematicae
Volume	13
Issue number	1
DOIs	https://doi.org/10.1016/S0019-3577(02)90006-6
Publication status	Published - 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/S0019-3577(02)90006-6

Cite this

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AB - 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.

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Casimir effects on Riemann surfaces

Abstract

All Science Journal Classification (ASJC) codes

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