Casimir effect in four simple situations - including a noncommutative two-sphere

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, 5 figures

Scientific paper

A computation of the Casimir effect for a real scalar field in four situations: on a segment of a line, on a circle and on both standard commutative and noncommutative two-spheres is given in this paper. The main aim of this paper is to discuss the Casimir energy on the noncommutative sphere within the theory with commutative time. The comparison with the noncommutative cylinder is also done.

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