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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 2, Pages 262–278
DOI: https://doi.org/10.4213/tmf6538 (Mi tmf6538) 		 
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
Full-text PDF (589 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf6538
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 2, Pages 1051–1063
DOI: https://doi.org/10.1007/s11232-010-0084-5
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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