Fermionic Casimir energy in a three-dimensional box

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.032517· OSTI ID:21450550

Seyedzahedi, A; Saghian, R; Gousheh, S S ^[1]

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1. Department of Physics, Shahid Beheshti University G.C., Evin, Tehran 19839 (Iran, Islamic Republic of)

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.

• OSTI ID: 21450550
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.032517; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOUNDARY CONDITIONS
CALCULATION METHODS
CASIMIR EFFECT
ELECTROMAGNETIC FIELDS
ELECTROMAGNETIC INTERACTIONS
FERMIONS
MASSLESS PARTICLES
THREE-DIMENSIONAL CALCULATIONS
BASIC INTERACTIONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
INTERACTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL