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三维紧致U(1)格点希格斯模型中的凯尔泰斯线

Kertész line in the three-dimensional compact U(1) lattice Higgs model.

作者信息

Wenzel Sandro, Bittner Elmar, Janke Wolfhard, Schakel Adriaan M J, Schiller Arwed

机构信息

Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, D-04109 Leipzig, Germany.

出版信息

Phys Rev Lett. 2005 Jul 29;95(5):051601. doi: 10.1103/PhysRevLett.95.051601. Epub 2005 Jul 26.

DOI:10.1103/PhysRevLett.95.051601
PMID:16090862
Abstract

The three-dimensional lattice Higgs model with compact U(1) gauge symmetry and unit charge is investigated by means of Monte Carlo simulations. The full model with fluctuating Higgs amplitude is simulated, and both energy as well as topological observables are measured. The data show a Higgs and a confined phase separated by a well-defined phase boundary, which is argued to be caused by proliferating vortices. For fixed gauge coupling, the phase boundary consists of a line of first-order phase transitions at small Higgs self-coupling, ending at a critical point. The phase boundary then continues as a Kertész line across which thermodynamic quantities are non-singular. Symmetry arguments are given to support these findings.

摘要

通过蒙特卡罗模拟研究了具有紧致U(1)规范对称性和单位电荷的三维晶格希格斯模型。对具有波动希格斯振幅的完整模型进行了模拟,并测量了能量以及拓扑可观测量。数据显示希格斯相和禁闭相由明确的相边界分隔,据认为这是由涡旋增殖引起的。对于固定的规范耦合,相边界在小希格斯自耦合时由一阶相变线组成,终止于一个临界点。然后相边界继续作为一条克尔泰斯线,跨越该线热力学量是非奇异的。给出了对称性论证来支持这些发现。

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