Zeta-function approach to Casimir energy with singular potentials
- Departamento de Fisica, Universidade Federal da Paraiba, Caixa Postal 5008, CEP 58051-970 Joao Pessoa, Pb (Brazil)
In the framework of zeta-function approach the Casimir energy for three simple model system: single delta potential, step function potential and three delta potentials are analyzed. It is shown that the energy contains contributions which are peculiar to the potentials. It is suggested to renormalize the energy using the condition that the energy of infinitely separated potentials is zero which corresponds to subtraction all terms of asymptotic expansion of zeta-function. The energy obtained in this way obeys all physically reasonable conditions. It is finite in the Dirichlet limit, and it may be attractive or repulsive depending on the strength of potential. The effective action is calculated, and it is shown that the surface contribution appears. The renormalization of the effective action is discussed.
- OSTI ID:
- 20795747
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 2; Other Information: DOI: 10.1103/PhysRevD.73.025003; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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