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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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Cite this article: |
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.
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Keywords:
04.20.Jb
03.65.Ge
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Published: 01 September 2001
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