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Compactification near and on the light front
High Energy Physics - Theory · Submitted 10 Dec 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus compactification of a light-like surface is feasible and defines a consistent field theory.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We address problems associated with compactification near and on the light front. | background 0.53 | 0.67 | 0.06 | asserted 0.55 |
| s1 | 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. | contribution 0.85 | 0.69 | 0.05 | asserted 0.98 |
| s2 | Our examples emphasize the difference between zero modes in space-like quantization and those in light front quantization. | contribution 0.47 | 0.62 | 0.05 | asserted 0.96 |
| s3 | In particular, in perturbative calculations of scalar field theory using discretized light cone quantization there are well-known ``zero-mode induced'' interaction terms. | background 1.00 | 0.09 | 0.04 | asserted 1.00 |
| s4 | However, we show that they decouple in the continuum limit and covariant answers are reproduced. | result 0.99 | 0.90 | 0.20 | asserted 1.00 |
| s5 | Thus compactification of a light-like surface is feasible and defines a consistent field theory. | interpretation 0.73 | 0.76 | 0.88 | asserted 0.95 |
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Original 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.
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