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

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 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.

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

References in corpus (4)

• On the mass spectrum of the two-dimensional O(3) sigma model with theta term
• Investigation of Quantum Phase Transitions using Multi-target DMRG Methods
• DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain
• Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain

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• From asymptotic freedom to $\theta$ vacua: Qubit embeddings of the O(3) nonlinear $\sigma$ model
• Renormalization of the vacuum angle in quantum mechanics, Berry phase and continuous measurements
• Scaling of excitations in dimerized and frustrated spin-1/2 chains