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Paper   IPM / P / 7880
School of Physics
  Title:   Topology, Mass and Casimir Energy
1.  N. Ahmadi
2.  M. Nouri-Zonoz
  Status:   Published
  Journal: Nucl. Phys. B
  Vol.:  738
  Year:  2006
  Pages:   269-282
  Supported by:  IPM
The vacuum expectation value of the stress energy tensor for a massive scalar field with arbitrary coupling in flat spaces with non-trivial topology is discussed. We calculate the Casimir energy in these manifolds employing the recently proposed optical approach based on closed classical paths. The evaluation of the Casimir energy consists in an expansion in terms of the lengths of these paths. We will show how different paths and weight factors contribute in the calculation. We also find the mass and temperature dependance for a pair of parallel conductors and show that the massive fields cannot be neglected in high and low temperature regimes. The optical approach is applied to twisted as well as spinor fields and the results obtained are compared with those in the literature.

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