Numerical study of the mass spectrum in the 2D O(3) sigma model with a theta term

Details Numerical study of the mass spectrum in the 2D O(3) sigma model with a theta term Numerical study of the mass spectrum in the 2D O(3) sigma model with a theta term

2007-11-12

arxiv.org/abs/0711.1803v1

PoSLAT2007:287,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages. Latex source + 3 eps figures. Contribution to Lattice 2007, Regensburg, Germany, 30 July - 4 August 2007

Scientific paper

It has been conjectured that the mass spectrum of the O(3) non-linear sigma model with a theta term in 2 dimensions may possess an excited state, which decays when theta is lowered from pi below a critical value. Since the direct numerical investigation of the model is prevented by a sign problem, we try to infer some information on the mass spectrum at real theta by studying the model at imaginary theta via analytic continuation. A modified Swendsen-Wang cluster algorithm has been introduced to simulate the model with the theta term.

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