Behavior near θ = π of the mass gap in the 2D O(3) non–linear sigma model

Allés, B. and Giordano, Matteo and Papa, A. (2014) Behavior near θ = π of the mass gap in the 2D O(3) non–linear sigma model. PHYSICAL REVIEW B, 90 (18). ISSN 2469-9950

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Abstract

The validity of the Haldane’s conjecture entails that the mass gap of the 2–dimensional O(3) non–linear sigma model with a θ–term must tend to zero as θ approaches the value π by following a precise law. In the present paper we extract the related critical exponents by sim- ulating the model at imaginary θ.

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