Mass gap in the 2D O(3) nonlinear sigma model with a θ = π term

被引：35

作者：

Alles, B. ^{[3
]}

Papa, A. ^{[1
,2
]}

机构：

[1] Univ Calabria, Dipartimento Fis, I-87036 Cosenza, Italy

[2] Ist Nazl Fis Nucl, Grp Coll Cosenza, Cosenza, Italy

[3] Ist Nazl Fis Nucl Sezione Pisa, Pisa, Italy

来源：

PHYSICAL REVIEW D | 2008年 / 77卷 / 05期

关键词：

D O I：

10.1103/PhysRevD.77.056008

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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) nonlinear sigma model with a theta term in two 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.

引用

页数：5

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