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Fermion Bags in the Massive Gross-Neveu Model
High Energy Physics - Theory · Submitted 2 Oct 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We prove that the bags in this model are necessarily time dependent.
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The abstract, sentence by sentence
As has long been known, it is energetically favorable for massive fermions to deform the homogeneous vacuum around them, giving rise to extended bag-like objects. We study this phenomenon non-perturbatively in a model field theory, the $1+1$ dimensional Massive Gross-Neveu model, in the large $N$ limit. We prove that the bags in this model are necessarily time dependent. We calculate their masses variationally and demonstrate their stability. We find a non-analytic behavior in these masses as we approach the standard massless Gross-Neveu model and argue that this behavior is caused by the kink-antikink threshold. This work extends our previous work to a non-integrable field theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | As has long been known, it is energetically favorable for massive fermions to deform the homogeneous vacuum around them, giving rise to extended bag-like objects. | background 1.00 | 0.04 | 0.05 | asserted 1.00 |
| s1 | We study this phenomenon non-perturbatively in a model field theory, the $1+1$ dimensional Massive Gross-Neveu model, in the large $N$ limit. | method 0.51 | 0.88 | 0.04 | asserted 0.88 |
| s2 | We prove that the bags in this model are necessarily time dependent. | result 0.98 | 0.96 | 0.36 | asserted 1.00 |
| s3 | We calculate their masses variationally and demonstrate their stability. | result 0.61 | 0.97 | 0.22 | asserted 1.00 |
| s4 | We find a non-analytic behavior in these masses as we approach the standard massless Gross-Neveu model and argue that this behavior is caused by the kink-antikink threshold. | result 0.67 | 0.96 | 0.18 | asserted 0.90 |
| s5 | This work extends our previous work to a non-integrable field theory. | contribution 0.73 | 0.61 | 0.05 | asserted 1.00 |
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Original abstract
As has long been known, it is energetically favorable for massive fermions to deform the homogeneous vacuum around them, giving rise to extended bag-like objects. We study this phenomenon non-perturbatively in a model field theory, the $1+1$ dimensional Massive Gross-Neveu model, in the large $N$ limit. We prove that the bags in this model are necessarily time dependent. We calculate their masses variationally and demonstrate their stability. We find a non-analytic behavior in these masses as we approach the standard massless Gross-Neveu model and argue that this behavior is caused by the kink-antikink threshold. This work extends our previous work to a non-integrable field theory.
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