Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
High Energy Physics - Theory
2014-11-21 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.1006.0324,
title = {Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model},
author = {Andreas Klotzek and Michael Thies},
journal= {arXiv preprint arXiv:1006.0324},
year = {2014}
}
Comments
13 pages, 7 figures