摘要翻译:
我们数值研究了具有$n$Higgs场的三维紧致U(1)格点规范理论。该模型适用于多组分超导体、易平面内的反铁磁自旋系统、膨胀宇宙学等。当n=2时,该系统在$c_2$(规范耦合)-C_1$(希格斯耦合)平面上有一条二级相变线$\tilde{c}_1(c_2)$,它将约束相和希格斯相分开。对于n=3,将临界线分为两部分;一个是一阶跃迁的$C2\Alt2.25$,另一个是二阶跃迁的$C2\AGT2.25$。
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英文标题:
《Multi-Higgs U(1) Lattice Gauge Theory in Three Dimensions》
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作者:
Tomoyoshi Ono, Ikuo Ichinose, Tetsuo Matsui
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Superconductivity 超导电性
分类描述:Superconductivity: theory, models, experiment. Superflow in helium
超导:理论,模型,实验。氦中超流
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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: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:
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.
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PDF链接:
https://arxiv.org/pdf/704.1323


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