Fermion bags in the massive Gross-Neveu model

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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.

Original languageEnglish
Pages (from-to)134-140
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - 9 Oct 1997
Externally publishedYes

Bibliographical note

Funding Information:
We are grateful to Mark Srednicki for indispensable help in carrying out the numerical work behind the figures. This work was partly supportedb y the National Science Foundation under Grant No. PHY89-04035.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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