三维多Higgs U（1）格点规范理论
Multi-Higgs U(1) Lattice Gauge Theory in Three Dimensions
摘要：
本文用数值方法研究了含$N$ Higgs场的三维紧致U（1）格点规范理论。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。当N=2时，该系统在规范耦合（$c_2$）$-c_1$（Higgs耦合）平面上有一条二级相变线$\tilde{c}_1(c_2)$，它将禁闭相和Higgs相分开。当N=3时，临界线分为两部分：一部分是一阶跃迁的$c_2 \alt 2.25$，另一部分是二阶跃迁的$c_2 \agt 2.25$。
英文摘要：
We study the three-dimensional compact U(1) lattice gauge theory with $N$ Higgs fields numerically. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in easy plane, inflational cosmology, etc. For N=2, 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. For N=3, the critical line is separated into two parts; one for $c_2 \alt 2.25$ with first-order transitions, and the other for $c_2 \agt 2.25$ with second-order transitions.
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。
