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Fermionic Casimir effect with helix boundary condition

  • Regular Article - Theoretical Physics
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Abstract

In this paper, we consider the fermionic Casimir effect under a new type of space-time topology using the concept of quotient topology. The relation between the new topology and that in Feng and Li (Phys. Lett. B 691:167, 2010), Zhai et al. (Mod. Phys. Lett. A 26:669, 2011) is something like that between a Möbius strip and a cylindric. We obtain the exact results of the Casimir energy and force for the massless and massive Dirac fields in the (D+1)-dimensional space-time. For both massless and massive cases, there is a Z 2 symmetry for the Casimir energy. To see the effect of the mass, we compare the result with that of the massless one and we found that the Casimir force approaches the result of the force in the massless case when the mass tends to zero and vanishes when the mass tends to infinity.

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Authors and Affiliations

  1. Shanghai United Center for Astrophysics (SUCA), Shanghai Normal University, 100 Guilin Road, Shanghai, 200234, China

    Xiang-hua Zhai, Xin-zhou Li & Chao-Jun Feng

Authors
  1. Xiang-hua Zhai
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  2. Xin-zhou Li
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  3. Chao-Jun Feng
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Correspondence to Xin-zhou Li.

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Zhai, Xh., Li, Xz. & Feng, CJ. Fermionic Casimir effect with helix boundary condition. Eur. Phys. J. C 71, 1654 (2011). https://doi.org/10.1140/epjc/s10052-011-1654-x

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  • DOI: https://doi.org/10.1140/epjc/s10052-011-1654-x

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