Publication: Casimir effect for the scalar field under Robin boundary conditions: a functional integral approach
Loading...
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Iop Publishing Ltd
Type
Article
Access right
Acesso restrito
Abstract
In this work we show how to define the action of a scalar field such that the Robin boundary condition is implemented dynamically, i.e. as a consequence of the stationary action principle. We discuss the quantization of that system via functional integration. Using this formalism, we derive an expression for the Casimir energy of a massless scalar field under Robin boundary conditions on a pair of parallel plates, characterized by constants c(1) and c(2). Some special cases are discussed; in particular, we show that for some values of cl and c(2) the Casimir energy as a function of the distance between the plates presents a minimum. We also discuss the renormalization at one-loop order of the two-point Green function in the philambda(4) theory subject to the Robin boundary condition on a plate.
Description
Keywords
Language
English
Citation
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 37, n. 27, p. 7039-7050, 2004.
