Casimir force between planes as a boundary finite size effect

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.065001· OSTI ID:20782672

Bajnok, Z; Takacs, G ^[1]; Palla, L ^[2]

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1. Theoretical Physics Research Group, Hungarian Academy of Sciences, 1117 Budapest, Pazmany Peter setany 1/A (Hungary)
2. Institute for Theoretical Physics, Eoetvoes University, 1117 Budapest, Pazmany Peter setany 1/A (Hungary)

The ground state energy of a boundary quantum field theory is derived in planar geometry in D+1-dimensional spacetime. It provides a universal expression for the Casimir energy which exhibits its dependence on the boundary conditions via the reflection amplitudes of the low energy particle excitations. We demonstrate the easy and straightforward applicability of the general expression by analyzing the free scalar field with Robin boundary condition and by rederiving the most important results available in the literature for this geometry.

• OSTI ID: 20782672
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevD.73.065001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOUNDARY CONDITIONS
CASIMIR EFFECT
EXCITATION
GEOMETRY
GROUND STATES
ONE-DIMENSIONAL CALCULATIONS
QUANTUM FIELD THEORY
REFLECTION
SCALAR FIELDS
SPACE-TIME