Compactification near and on the light front

Details Compactification near and on the light front Compactification near and on the light front

1999-12-10

arxiv.org/abs/hep-th/9912085v1

Phys.Rev. D62 (2000) 105015

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 4 figures

Scientific paper

10.1103/PhysRevD.62.105015

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.

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