Multi-Higgs U(1) Lattice Gauge Theory in Three Dimensions

Tomoyoshi Ono; Ikuo Ichinose; Tetsuo Matsui

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arXiv · 0704.1323

Multi-Higgs U(1) Lattice Gauge Theory in Three Dimensions

Tomoyoshi Ono·Ikuo Ichinose·Tetsuo Matsui

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Abstract

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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Tomoyoshi Ono, Ikuo Ichinose, Tetsuo Matsui. 2007-05-03. Multi-Higgs U(1) Lattice Gauge Theory in Three Dimensions. https://arxiv.org/abs/0704.1323

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