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Phys. Rev. D 70, 065018 (2004) [9 pages]

Some boundary effects in quantum field theory

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V. B. Bezerra*
Departamento de Física, Universidade Federal da Paraiba, Caixa Postal 5008, 58051-970 João Pessoa, PB, Brazil

M. A. Rego-Monteiro
Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil

Received 19 April 2004; published 21 September 2004

We have constructed a quantum field theory in a finite box, with periodic boundary conditions, using the hypothesis that particles living in a finite box are created and/or annihilated by the creation and/or annihilation operators, respectively, of a quantum harmonic oscillator on a circle. An expression for the effective coupling constant is obtained, showing explicitly its dependence on the dimension of the box.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.065018
DOI:
10.1103/PhysRevD.70.065018
PACS:
03.70.+k, 11.10.Ef

*Electronic address: valdir@fisica.ufpb.br

Electronic address: regomont@cbpf.br