## Noncommutative Complex Scalar Field and Casimir Effect

**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

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### Submission history

[v1] 6 Sep 2011

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