Authors: Farid Khelili
Using noncommutative deformed canonical commutation relations, a model describing a non-commutative complex scalar field theory is proposed. The noncommutative field equations are solved, and the vacuum energy is calculated to the second order in the parameter of noncommutativity. As an application to this model, the Casimir effect, due to the zero point fluctuations of the noncommutative complex scalar field, is considered. It turns out that in spite of its smallness, the noncommutativity gives rise to a repulsive force at the microscopic level, leading to a modified Casimr potential with a minimum at the point ...
Comments: 23 pages
[v1] 6 Sep 2011
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