Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-10-18
Nucl.Phys. B424 (1994) 547-566
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, plain.tex, TIFR-TH-92-56
Scientific paper
10.1016/0550-3213(94)90407-3
We 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 $\beta -$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)
Rao Sumathi
Sen Diptiman
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