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25 January 2025
 
  » arxiv » hep-th/9210096

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Non-linear Field Theory of a Frustrated Heisenberg Spin Chain
Sumathi Rao ; Diptiman Sen ;
Date 18 Oct 1992
Journal Nucl. Phys. B424 (1994) 547
Subject hep-th cond-mat
AbstractWe derive a continuum field theory for the Majumdar-Ghosh model in the large-$S$ limit, where the field takes values in the manifold of the $SO(3)$ group. No topological term is induced in the action and the cases for integer spin and half-integer spin appear to be indistinguishable. A one-loop $eta -$function calculation indicates that the theory flows towards a strong coupling (disordered) phase at long distances. This is verified in the large-$N$ limit, where all excitations are shown to be massive. (Three figures not included)
Source arXiv, hep-th/9210096
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