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Vacuum Energies and Effective Potential in Light-Cone Field Theories
High Energy Physics - Theory · Submitted 26 Sep 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The vacuum energies are found to be independent of the interpolating angle to define the quantization surface.
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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
Vacuum energies are computed in light-cone field theories to obtain effective potentials which determine vacuum condensate. Quantization surfaces interpolating between the light-like surface and the usual spatial one are useful to define the vacuum energies unambiguously. The Gross-Neveu, SU(N) Thirring, and O(N) vector models are worked out in the large $N$ limit. The vacuum energies are found to be independent of the interpolating angle to define the quantization surface. Renormalization of effective potential is explicitly performed. As an example of the case with nonconstant order parameter, two-dimensional QCD is also studied. Vacuum energies are explicitly obtained in the large $N$ limit which give the gap equation as the stationary point.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Vacuum energies are computed in light-cone field theories to obtain effective potentials which determine vacuum condensate. | contribution 0.86 | 0.83 | 0.21 | asserted 1.00 |
| s1 | Quantization surfaces interpolating between the light-like surface and the usual spatial one are useful to define the vacuum energies unambiguously. | method 0.97 | 0.30 | 0.08 | asserted 0.90 |
| s2 | The Gross-Neveu, SU(N) Thirring, and O(N) vector models are worked out in the large $N$ limit. | contribution 0.63 | 0.88 | 0.05 | asserted 0.99 |
| s3 | The vacuum energies are found to be independent of the interpolating angle to define the quantization surface. | result 1.00 | 0.94 | 0.36 | asserted 1.00 |
| s4 | Renormalization of effective potential is explicitly performed. | method 0.78 | 0.90 | 0.06 | asserted 1.00 |
| s5 | As an example of the case with nonconstant order parameter, two-dimensional QCD is also studied. | contribution 0.99 | 0.90 | 0.04 | asserted 0.99 |
| s6 | Vacuum energies are explicitly obtained in the large $N$ limit which give the gap equation as the stationary point. | result 0.95 | 0.92 | 0.27 | asserted 1.00 |
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Original abstract
Vacuum energies are computed in light-cone field theories to obtain effective potentials which determine vacuum condensate. Quantization surfaces interpolating between the light-like surface and the usual spatial one are useful to define the vacuum energies unambiguously. The Gross-Neveu, SU(N) Thirring, and O(N) vector models are worked out in the large $N$ limit. The vacuum energies are found to be independent of the interpolating angle to define the quantization surface. Renormalization of effective potential is explicitly performed. As an example of the case with nonconstant order parameter, two-dimensional QCD is also studied. Vacuum energies are explicitly obtained in the large $N$ limit which give the gap equation as the stationary point.
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