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

Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8113, Vol: 43, Issue: 37
2010
  • 17
    Citations
  • 0
    Usage
  • 5
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    17
    • Citation Indexes
      17
  • Captures
    5

Article Description

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 threedimensional 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. © 2010 IOP Publishing Ltd.

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