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Nonperturbative Casimir effect and monopoles: compact Abelian gauge theory in two spatial dimensions

Abstract : We demonstrate that Casimir forces associated with zero-point fluctuations of quantum vacuum may be substantially affected by the presence of dynamical topological defects. In order to illustrate this nonperturbative effect we study the Casimir interactions between dielectric wires in a compact formulation of Abelian gauge theory in two spatial dimensions. The model possesses topological defects, instantonlike monopoles, which are known to be responsible for nonperturbative generation of a mass gap and for a linear confinement of electrically charged probes. Despite the fact the model has no matter fields, the Casimir energy depends on the value of the gauge coupling constant. We show, both analytically and numerically, that in the strong coupling regime the Abelian monopoles make the Casimir forces short ranged. Simultaneously, their presence increases the interaction strength between the wires at short distances for a certain range of values of the gauge coupling. The wires suppress monopole density in the space between them compared to the density outside the wires. In the weak coupling regime the monopoles become dilute and the Casimir potential reduces to a known theoretical result that does not depend on the gauge coupling.
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https://hal.archives-ouvertes.fr/hal-01487703
Contributor : Maxim Chernodub <>
Submitted on : Monday, March 13, 2017 - 9:00:52 AM
Last modification on : Monday, May 11, 2020 - 4:48:05 PM

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M. N. Chernodub, V. A. Goy, A. V. Molochkov. Nonperturbative Casimir effect and monopoles: compact Abelian gauge theory in two spatial dimensions. Physical Review D, American Physical Society, 2017, 95 (7), pp.074511. ⟨10.1103/PhysRevD.95.074511⟩. ⟨hal-01487703⟩

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