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Compactification in the Lightlike Limit
High Energy Physics - Theory · Submitted 5 Nov 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The lightlike limit generally exists nonperturbatively, but is more complicated than might have been assumed.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We study field theories in the limit that a compactified dimension becomes lightlike. In almost all cases the amplitudes at each order of perturbation theory diverge in the limit, due to strong interactions among the longitudinal zero modes. The lightlike limit generally exists nonperturbatively, but is more complicated than might have been assumed. Some implications for the matrix theory conjecture are discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study field theories in the limit that a compactified dimension becomes lightlike. | contribution 0.98 | 0.89 | 0.06 | asserted 0.86 |
| s1 | In almost all cases the amplitudes at each order of perturbation theory diverge in the limit, due to strong interactions among the longitudinal zero modes. | result 1.00 | 0.79 | 0.31 | asserted 0.98 |
| s2 | The lightlike limit generally exists nonperturbatively, but is more complicated than might have been assumed. | result 0.98 | 0.71 | 0.47 | asserted 0.94 |
| s3 | Some implications for the matrix theory conjecture are discussed. | interpretation 0.99 | 0.65 | 0.06 | unclear 0.59 |
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The paper
Original abstract
We study field theories in the limit that a compactified dimension becomes lightlike. In almost all cases the amplitudes at each order of perturbation theory diverge in the limit, due to strong interactions among the longitudinal zero modes. The lightlike limit generally exists nonperturbatively, but is more complicated than might have been assumed. Some implications for the matrix theory conjecture are discussed.
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References
How the literature uses it
22 arXiv papers cite this in 28 sentences
Papers citing it · 21 sentences without a confident label
Compares with it 1 paper
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Let us now contrast the spectrum of non-relativistic string theory with that of the discrete light cone quantization at finite internal momentum, see e.g. [ref] .
The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory · Discrete Lightcone Quantization · 0.94
Cites it as background 6 papers
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(The problems in compactifying any field theory along a null direction are discussed in, for example, [ref] and would in particular apply to the field theories considered here.) Recent work aiming at obtaining Schrödinger solutions without such a compact direction can be found in [ref] .
Holography for chiral scale-invariant models · Introduction · 0.81
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This notably leads to Matrix theory [ref] , which serves as a powerful tool for understanding the full M-theory in a simple system of D0-branes.
Aspects of Nonrelativistic Strings · Introduction · 0.88
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However, such a procedure is in general ill-defined, due to the coupling of the theory to zero modes on the circle which become infinitely strongly-coupled in the null limit [ref] [It may however be possible to avoid such pathologies for generic CFTs [ref] , although we will not need these results here. ].
How to Build a Black Hole out of Instantons · Some background · 0.81
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