Year: 2012
Type: article
Abstract: Using the noncommutative deformed canonical commutation relations proposed by Carmona et al. [J. M. Carmona, J. L. Cort\'es, J. Gamboa, and F. Mendez, J. High Energy Phys. 03 (2003) 058.][J. Gamboa, J. Lop\'ez-Sarrion, and A. P. Polychronakos, Phys. Lett. B 634, 471 (2006).][J. M. Carmona, J. L. Cort\'es, Ashok Das, J. Gamboa, and F. Mendez, Mod. Phys. Lett. A 21, 883 (2006).], a model describing the dynamics of the noncommutative complex scalar field 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 Casimir potential with a minimum at the point ${a}_{\mathrm{min}}=\sqrt{\frac{5}{84}}\ensuremath{\pi}\ensuremath{\theta}$.
Author: Farid Khelili
Institution: University of Skikda
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2017760856