Light front Casimir effect

2013

Phys. Rev. D

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 light-front quantization. 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.Comment: 8 pages, 1 figure, RevTex 4.

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Light-front analysis of the Casimir effect

Chabysheva

2013

Phys. Rev. D

“…One does not use the light-front analog e −P − /T LF because it does not correspond to a heat bath at rest [48]. Other examples of where this choice matters can be found in the variational analysis of φ 4 theory [49] and the light-front derivation of the Casimir effect [15,50,51]. This is not to say that light-front quantization cannot be used; the physics should be the same in any coordinate system.…”

mentioning

confidence: 99%

Nonperturbative light-front Hamiltonian methods

Progress in Particle and Nuclear Physics

2016

We examine the current state-of-the-art in nonperturbative calculations done with Hamiltonians constructed in light-front quantization of various field theories. The language of light-front quantization is introduced, and important (numerical) techniques, such as Pauli-Villars regularization, discrete light-cone quantization, basis light-front quantization, the light-front coupled-cluster method, the renormalization group procedure for effective particles, sector-dependent renormalization, and the Lanczos diagonalization method, are surveyed. Specific applications are discussed for quenched scalar Yukawa theory, φ 4 theory, ordinary Yukawa theory, supersymmetric Yang-Mills theory, quantum electrodynamics, and quantum chromodynamics. The content should serve as an introduction to these methods for anyone interested in doing such calculations and as a rallying point for those who wish to solve quantum chromodynamics in terms of wave functions rather than random samplings of Euclidean field configurations.

“…Lenz and Steinbacher considered this arrangement [3]. Almeida et al [4] used oblique light-front coordinates withx 0 = t + z andx 3 = z, and boundary conditions periodic in z, to obtain the correct result. Both attempts implied that light-front quantization is deficient in some way; instead, light-front coordinates are just harder to use.…”

Section: Introductionmentioning

confidence: 99%

The Casimir Effect in Light-Front Quantization

2014

Few-Body Syst

We show that the standard result for the Casimir force between conducting plates at rest in an inertial frame can be computed in light-front quantization. This is not the same as lightfront analyses where the plates are at "rest" in an infinite momentum frame. In that case, Lenz and Steinbacher have shown that the result does not agree with the standard result for plates at rest. The two important ingredients in the present analysis are a careful treatment of the boundary conditions, inspired by 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.a Based on a talk contributed to the Lightcone 2014 workshop, Raleigh, North Carolina, May 26-30, 2014.