Fermionic Casimir Energy In A Three-Dimensional Box

PHYSICAL REVIEW A(2010)

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摘要
In this paper we calculate the Casimir energy for a massless fermionic field confined inside a three-dimensional rectangular box. We use the MIT bag model boundary condition for the confinement. We use the direct mode summation method along with the Abel-Plana summation formula to compute the Casimir energy, without any use of regularization or analytic continuation techniques. We obtain a negative Casimir energy, as opposed to the previously reported result for the interior of a three-dimensional sphere.
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关键词
elementary particles,fermions,mathematical models,casimir effect,boundary conditions,analytic continuation,massless particles,mathematical model,electromagnetic fields,electromagnetic field,three dimensional,interactions,quark model,boundary condition
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