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Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach | | Luiz C. de Albuquerque
; R. M. Cavalcanti
; | | Date: |
6 Nov 2003 | | Journal: | J.Phys. A37 (2004) 7039-7050 DOI: 10.1088/0305-4470/37/27/012 | | Subject: | hep-th | | Abstract: | In this work we show how to define the action of a scalar field in a such a way that 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 $c_1$ 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 $lambdaphi^4$ theory submitted to Robin boundary condition on a plate. | | Source: | arXiv, hep-th/0311052 | | Services: | Forum | Review | PDF | Favorites | |
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