Casimir Energies on a Twisted Two-Torus

Chin. Phys. Lett.

2001, Vol. 18

Issue (9): 1163-1166 DOI:

Original Articles

Casimir Energies on a Twisted Two-Torus

CHENG Hong-Bo¹;LI Xin-Zhou²

¹Department of Physics, Shanghai Teachers University, Shanghai 200234 ²Institute for Theoretical Physics, East China University of Science and Technology, Shanghai 200237

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CHENG Hong-Bo, LI Xin-Zhou 2001 Chin. Phys. Lett. 18 1163-1166

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Abstract We consider a twisted massless multiplet on a two-torus, one side with the normal boundary and the other with twisted boundary. The Casimir energy is calculated and regularized by means of the Epstein-Hurwitz type zeta function introduced by Elizalde. The resulted dimensions of spacetime for the twisted case may be integers. The results are compared with those of untwisted case. Since twisted Casimir energy is lower than untwisted energy, the untwisted cases may change into the twisted state in the spacetime.

Keywords: 04.20.Jb 03.65.Ge

Published: 01 September 2001

PACS:	04.20.Jb	(Exact solutions)
	04.62
	+v
	03.65.Ge	(Solutions of wave equations: bound states)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2001/V18/I9/01163

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