Zetafunction approach to Casimir energy with singular potentials
Abstract
In the framework of zetafunction 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 zetafunction. 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.
 Authors:
 Departamento de Fisica, Universidade Federal da Paraiba, Caixa Postal 5008, CEP 58051970 Joao Pessoa, Pb (Brazil)
 Publication Date:
 OSTI Identifier:
 20795747
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.73.025003; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; CASIMIR EFFECT; EXPANSION; PHI4FIELD THEORY; POTENTIALS; RENORMALIZATION
Citation Formats
Khusnutdinov, Nail R. Zetafunction approach to Casimir energy with singular potentials. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.0.
Khusnutdinov, Nail R. Zetafunction approach to Casimir energy with singular potentials. United States. doi:10.1103/PHYSREVD.73.0.
Khusnutdinov, Nail R. Sun .
"Zetafunction approach to Casimir energy with singular potentials". United States.
doi:10.1103/PHYSREVD.73.0.
@article{osti_20795747,
title = {Zetafunction approach to Casimir energy with singular potentials},
author = {Khusnutdinov, Nail R.},
abstractNote = {In the framework of zetafunction 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 zetafunction. 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.},
doi = {10.1103/PHYSREVD.73.0},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}

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