Casimir effect for a scalar field via Krein quantization

Journal Article · Sat Feb 15 00:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.12.007· OSTI ID:22233553

Pejhan, H., E-mail: [e-mail] ^[1]; Tanhayi, M.R., E-mail: [e-mail] ^[2]; Takook, M.V., E-mail: [e-mail] ^[1]

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1. Department of Physics, Science and Research Branch, Islamic Azad University, Tehran (Iran, Islamic Republic of)
2. Department of Physics, Islamic Azad University, Central Branch, Tehran (Iran, Islamic Republic of)

In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indefinite metric field (Krein) quantization technique. In this technique, the field operators are constructed from both negative and positive norm states. Having understood that negative norm states are un-physical, they are only used as a mathematical tool for renormalizing the theory and then one can get rid of them by imposing some proper physical conditions. -- Highlights: • A modification of QFT is considered to address the vacuum energy divergence problem. • Casimir energy of a spherical shell is calculated, through this approach. • In this technique, it is shown, the theory is automatically regularized.

• OSTI ID: 22233553
• Journal Information: Annals of Physics (New York), Vol. 341; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
CASIMIR EFFECT
DIRICHLET PROBLEM
FIELD OPERATORS
METRICS
MODIFICATIONS
QUANTIZATION
RENORMALIZATION
SCALAR FIELDS