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 θ-term. In particular, for sufficiently strong coupling, we find a range of values of θ 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 a θ-term.

Particle content of the nonlinear sigma model with a θ-term: a lattice model investigation

DEGLI ESPOSTI BOSCHI, CRISTIAN;ERCOLESSI, ELISA;ORTOLANI, FABIO;MORANDI, GIUSEPPE;PASINI, STEFANO;RONCAGLIA, MARCO
2005

Abstract

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 θ-term. In particular, for sufficiently strong coupling, we find a range of values of θ 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 a θ-term.
L. Campos Venuti; C. Degli Esposti Boschi; E. Ercolessi; F. Ortolani; G. Morandi; S. Pasini; M. Roncaglia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/12273
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