TY - JOUR

T1 - Light-front analysis of the Casimir effect

AU - Chabysheva, Sophia S.

AU - Hiller, John R.

PY - 2013/10/8

Y1 - 2013/10/8

N2 - The Casimir force between conducting plates at rest in an inertial frame is usually computed in equal-time quantization, the natural choice for the given boundary conditions. We show that the well-known result obtained in this way can also be obtained in Dirac's light-front coordinates. This differs from a light-front analysis where the plates are at "rest" in an infinite momentum frame, rather than an inertial frame; in that case, as shown by Lenz and Steinbacher, the result does not agree with the standard result. As is usually done, the analysis is simplified by working with a scalar field and periodic boundary conditions, in place of the complexity of quantum electrodynamics. The two key ingredients are a careful implementation of the boundary conditions, following the work of Almeida et al. on oblique light-front coordinates, and computation of the ordinary energy density, rather than the light-front energy density. The analysis demonstrates that the physics of the effect is independent of the coordinate choice, as it must be. This is meant not as a new derivation of the Casimir effect but as a demonstration that light-front quantization is not somehow flawed in its treatment of such vacuum effects.

AB - The Casimir force between conducting plates at rest in an inertial frame is usually computed in equal-time quantization, the natural choice for the given boundary conditions. We show that the well-known result obtained in this way can also be obtained in Dirac's light-front coordinates. This differs from a light-front analysis where the plates are at "rest" in an infinite momentum frame, rather than an inertial frame; in that case, as shown by Lenz and Steinbacher, the result does not agree with the standard result. As is usually done, the analysis is simplified by working with a scalar field and periodic boundary conditions, in place of the complexity of quantum electrodynamics. The two key ingredients are a careful implementation of the boundary conditions, following the work of Almeida et al. on oblique light-front coordinates, and computation of the ordinary energy density, rather than the light-front energy density. The analysis demonstrates that the physics of the effect is independent of the coordinate choice, as it must be. This is meant not as a new derivation of the Casimir effect but as a demonstration that light-front quantization is not somehow flawed in its treatment of such vacuum effects.

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U2 - 10.1103/PhysRevD.88.085006

DO - 10.1103/PhysRevD.88.085006

M3 - Article

AN - SCOPUS:84885197693

SN - 1550-7998

VL - 88

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 8

M1 - 085006

ER -