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arXiv · 1006.0324

Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model

Andreas Klotzek·Michael Thies
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Abstract

Guided by a study of kink-antikink scattering in the Gross-Neveu model and other known solutions of the Hartree-Fock approach of a particularly simple type, we demonstrate a quantitative relationship between three different problems: Quantized 1+1-dimensional fermions in the large N limit, solitons of the classical sinh-Gordon equation and classical strings moving in 3-dimensional anti de Sitter space. Aside from throwing light on the relationship between quantum field theory and classical physics, this points to the full solvability of the dynamical N-kink-antikink problem in the Gross-Neveu model.

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Andreas Klotzek, Michael Thies. 2010-06-02. Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model. https://doi.org/10.1088/1751-8113%2F43%2F37%2F375401

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