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摘要翻译：
通过将数值模拟得到的数据在虚θ处解析延拓到实θ处，研究了霍尔丹猜想，证明了二维带θ项的O(3)非线性sigma模型在θ=3.10(5)时变得无质量。提出了一种改进的聚类算法，用虚θ对模型进行模拟。对晶格上的拓扑电荷使用了两种不同的定义；其中一个需要重整化来匹配连续统算子。我们的工作也为基于解析延拓的数值方法提供了一个成功的检验。
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英文标题：
《Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term》
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作者：
B. Alles, A. Papa
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Other Condensed Matter 其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类：Physics 物理学
二级分类：High Energy Physics - Lattice 高能物理-晶格
分类描述：Lattice field theory. Phenomenology from lattice field theory. Algorithms for lattice field theory. Hardware for lattice field theory.
晶格场论。从晶格场论到现象学。格场论的算法。晶格场论硬件。
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英文摘要：
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) 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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PDF链接：
https://arxiv.org/pdf/711.1496
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