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Supersymmetric construction of self-consistent condensates in the large N Gross-Neveu model: Solitons on finite-gap potentials

Adrián Arancibia*

  • Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile

  • *adaran.phi@gmail.com
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Phys. Rev. D 98, 065013 – Published 24 September, 2018

DOI: https://doi.org/10.1103/PhysRevD.98.065013

Abstract

In the present work, the set of stationary solutions of the Gross-Neveu model in the ’t Hooft limit is extended. Such an extension is obtained by striving for a hidden supersymmetry associated with disconnected sets of stationary solutions. How the supersymmetry arises from the Darboux-Miura transformations between Lax pairs of the stationary modified Korteweg–de Vries and the stationary Korteweg–de Vries hierarchies is shown, associating the correspondent superpotentials with self-consistent condensates for the Gross-Neveu model.

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Phys. Rev. D 98, 065013– Published 24 September, 2018
  • Received 2 January 2018
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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