Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
arXiv:1006.0324 · doi:10.1088/1751-8113/43/37/375401
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.
13 pages, 7 figures
References in corpus (6)
Cited by in corpus (15)
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- Exact solution of N baryon problem in the Gross-Neveu model
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- Baryon-baryon scattering in the Gross-Neveu model: the large N solution
- Dimensional reduction in quantum field theories at finite temperature and density
- Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
- Breathers and their interaction in the massless Gross-Neveu model
- Novel results for kinklike structures and their connections to quantum mechanics
- Evidence for factorized scattering of composite states in the Gross-Neveu model
- Twisted kink dynamics in multiflavor chiral Gross-Neveu model
- Dark solitons of the Gross-Neveu model
- SU(N) affine Toda solitons and breathers from transparent Dirac potentials