Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term

Details Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term

2007-11-09

arxiv.org/abs/0711.1496v2

Phys.Rev.D77:056008,2008

Physics

Condensed Matter

Statistical Mechanics

Latex file, 4 pages. To appear in PRD; it contains the justification of analicity, more details about the fits, more reference

Scientific paper

10.1103/PhysRevD.77.056008

By analytic continuation to real theta of data obtained from numerical simulation at imaginary theta we study the Haldane conjecture and show that the O(3) non-linear sigma model with a theta term in 2 dimensions becomes massless at theta=3.10(5). A modified cluster algorithm has been introduced to simulate the model with imaginary theta. Two different definitions of the topological charge on the lattice have been used; one of them needs renormalization to match the continuum operator. Our work also offers a successful test for numerical methods based on analytic continuation.

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