arXiv 0712.22912007-12hep-latastro-phcond-mat.str-el

三维多Higgs U（1）格点规范理论的相结构和临界行为

Phase Structure and Critical Behavior of Multi-Higgs U(1) Lattice Gauge Theory in Three Dimensions

T. Ono, S. Doi, Y. Hori, I. Ichinose, T. Matsui

备注：: Long version of arXiv:0704.1323, New results added
发表信息：: Annals of Physics 324(2009)2453

摘要：

利用蒙特卡罗模拟研究了三维紧致U（1）格点规范理论与$N$类Higgs场的耦合.该模型与多组分超导体、易平面反铁磁自旋系统、暴胀宇宙学等有关。已知N=1模型中没有相变。当N=2时，我们发现系统在规范场耦合（$c_2$）$-c_1$（Higgs耦合）平面内存在一条二级相变线$\tilde{c}_1(c_2)$，它将约束相和Higgs相分开.数值结果表明，该相变属于3D XY模型的普适类，正如Babaev等人和Smiseth等人以前的工作所建议的那样。对于N=3，我们发现存在一条类似于N=2模型的临界线，但临界线分为两部分，一部分是一级跃迁的$c_2 < c_{2{\rm tc}}=2.4\pm 0.1$，另一部分是二级跃迁的$ c_{2{\rm tc}} < c_2$，表明存在三临界点.我们验证了N=4和N=5系统出现相似的相图。我们还研究了N=3模型中各向异性Higgs耦合的情况，发现存在两个二级相变或一个二级相变和一个交叉，这取决于各向异性Higgs耦合的大小。这一结果表明，当多个相变在参数空间中的某个点重合时，会发生相变的“增强”。

英文摘要：

We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in easy plane, inflational cosmology, etc. It is known that there is no phase transition in the N=1 model. For N=2, we found that the system has a second-order phase transition line $\tilde{c}_1(c_2)$ in the $c_2$(gauge coupling)$-c_1$(Higgs coupling) plane, which separates the confinement phase and the Higgs phase. Numerical results suggest that the phase transition belongs to the universality class of the 3D XY model as the previous works by Babaev et al. and Smiseth et al. suggested. For N=3, we found that there exists a critical line similar to that in the N=2 model, but the critical line is separated into two parts; one for $c_2 < c_{2{\rm tc}}=2.4\pm 0.1$ with first-order transitions, and the other for $ c_{2{\rm tc}} < c_2$ with second-order transitions, indicating the existence of a tricritical point. We verified that similar phase diagram appears for the N=4 and N=5 systems. We also studied the case of anistropic Higgs coupling in the N=3 model and found that there appear two second-order phase transitions or a single second-order transition and a crossover depending on the values of the anisotropic Higgs couplings. This result indicates that an "enhancement" of phase transition occurs when multiple phase transitions coincide at a certain point in the parameter space.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文