Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach

Details Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach

2012-04-14

arxiv.org/abs/1204.3181v1

Int. J. Mod. Phys. A 27 (2012) 1250038

Physics

High Energy Physics

High Energy Physics - Theory

8 Pages, 4 Figures

Scientific paper

10.1142/S0217751X12500388

In this paper we calculate the Casimir energy for a massive fermionic field confined between two points in one spatial dimension, with the MIT Bag Model boundary condition. We compute the Casimir energy directly by summing over the allowed modes. The method that we use is based on the Boyer's method, and there will be no need to resort to any analytic continuation techniques. We explicitly show the graph of the Casimir energy as a function of the distance between the points and the mass of the fermionic field. We also present a rigorous derivation of the MIT Bag Model boundary condition.

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