Compactification near and on the light front

Abstract

We address problems associated with compactification near and on the light front. In perturbative scalar field theory we illustrate and clarify the relationships among three approaches: (1) quantization on a space-like surface close to a light front; (2) infinite momentum frame calculations; and (3) quantization on the light front. Our examples emphasize the difference between zero modes in space-like quantization and those in light front quantization. In particular, in perturbative calculations of scalar field theory using discretized light cone quantization there are well-known ``zero-mode induced'' interaction terms. However, we show that they decouple in the continuum limit and covariant answers are reproduced. Thus compactification of a light-like surface is feasible and defines a consistent field theory.

24 pages, 4 figures

References in corpus (3)

• String Theory and Noncommutative Geometry
• Dynamics on the Light Cone : Compact versus Continuum Quantization
• A Numerical Experiment in DLCQ: Microcausality, Continuum Limit and all that

Cited by in corpus (5)

• Does DLCQ S-matrix have a covariant continuum limit?
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Teleparallel formalism of galilean gravity
• Perturbative S-matrix in discretized light cone quantization of two-dimensional ϕ^4 theory
• Critical Coupling for Two-dimensional ${\varphi }^4$ Theory in Discretized Light-Cone Quantization