This article is cited in 10 papers

Modeling the interaction of an electromagnetic field with a two-dimensional surface in the framework of Symanzik's approach

D. Yu. Pis'mak^ab, Yu. M. Pis'mak<sup>a

a</sup> Saint Petersburg State University, St. Petersburg, Russia
^b Eidgenösische Technische Hochschule Zürich, Zürich, Switzerland

Abstract: Symanzik's approach to the construction of models for the interaction between quantum fields and macro-objects allows finding the general form of the action functional with a Chern–Simons potential up to an arbitrary dimensionless constant; it is used to describe the interaction of a material surface with the electromagnetic field. We discuss results obtained in static models of such a type. We also consider a simple dynamic model of the interaction of a massless scalar field with moving planes.

Keywords: Casimir effect, electrodynamics in a space with macroscopic inhomogeneities, Chern–Simons potential, interaction of a massless field with moving surfaces.

DOI: 10.4213/tmf8495

 English version: Theoretical and Mathematical Physics, 2013, 175:3, 816–826

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