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This article is cited in 13 scientific papers (total in 13 papers)
Casimir energy in noncompact lattice electrodynamics
O. V. Pavlovskii, M. V. Ulybyshev Bogoliubov Institute for Theoretical Problems of Microworld,
Lomonosov Moscow State University, Moscow, Russia
Abstract:
We propose a new lattice method for calculating the Casimir energy for a $U(1)$ gauge theory. Using this method, we analyze the standard problem of the Casimir interaction of two planar parallel plates with the boundary conditions induced by an additional Chern–Simons action localized on these boundary surfaces. From the physical standpoint, this boundary value problem models the interaction of two thin metal plates. The proposed method can be generalized to the case of more complicated surface shapes.
Keywords:
lattice gauge theory, quantum electrodynamics, Casimir effect.
Received: 02.06.2009 Revised: 16.11.2009
Citation:
O. V. Pavlovskii, M. V. Ulybyshev, “Casimir energy in noncompact lattice electrodynamics”, TMF, 164:2 (2010), 262–278; Theoret. and Math. Phys., 164:2 (2010), 1051–1063
Linking options:
https://www.mathnet.ru/eng/tmf6538https://doi.org/10.4213/tmf6538 https://www.mathnet.ru/eng/tmf/v164/i2/p262
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Abstract page: | 403 | Full-text PDF : | 205 | References: | 40 | First page: | 18 |
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