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 -