Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Casimir effect for a scalar field via Krein quantization

Journal Article · · Annals of Physics (New York)
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), Journal Name: Annals of Physics (New York) Vol. 341; ISSN 0003-4916; ISSN APNYA6
Country of Publication:
United States
Language:
English

Similar Records

Field Quantization in Krein space
Journal Article · Mon Nov 19 23:00:00 EST 2007 · AIP Conference Proceedings · OSTI ID:21039321

Divergent Integrals of QED in Krein Space Quantization
Journal Article · Tue Jun 15 00:00:00 EDT 2010 · AIP Conference Proceedings · OSTI ID:21366973

Dynamical Casimir effect for a massless scalar field between two concentric spherical shells with mixed boundary conditions
Journal Article · Wed Jul 15 00:00:00 EDT 2009 · Physical Review. A · OSTI ID:21313245