Particle Content of the Nonlinear Sigma Model with Theta-Term: a Lattice Model Investigation

Details Particle Content of the Nonlinear Sigma Model with Theta-Term: a Lattice Model Investigation Particle Content of the Nonlinear Sigma Model with Theta-Term: a Lattice Model Investigation

2004-12-16

arxiv.org/abs/cond-mat/0412446v2

J.Stat.Mech.0504:L04004,2005

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures .eps, iopart format, submitted to JSTAT

Scientific paper

10.1088/1742-5468/2005/02/L02004

Using new as well as known results on dimerized quantum spin chains with frustration, we are able to infer some properties on the low-energy spectrum of the O(3) Nonlinear Sigma Model with a topological theta-term. In particular, for sufficiently strong coupling, we find a range of values of theta where a singlet bound state is stable under the triplet continuum. On the basis of these results, we propose a new renormalization group flow diagram for the Nonlinear Sigma Model with theta-term.

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