论文标题
具有Abelian离散量规组的非紧密晶格希格斯模型:相图和量规对称性扩大
Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
论文作者
论文摘要
我们研究了具有非紧凑型Abelian离散基团的三维多组分晶状体HIGGS模型的相图和相变。已知具有非压缩u(1)量规组的模型会发生,对于足够多的标量字段$ n $,这是与连续的Abelian Higgs Field理论相关的连续过渡。我们表明,在使用量规组$ \ mathbb {z} _q^{((nc)} \ equiv2π\ mathbb {z}/q $的模型中,仅在$ n $的小价值中,仅出现了$ n $的较小的$ n $ $ n oble $ n of $ n时,仅$ n $ que n y $ q q qunive $ q n y $ q q qunive $ q n of qu n of que n $ q n of qu n of queiv n $ q n of $ q quentaly $ q q qulyef。
We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large number of scalar fields $N$, a continuous transition associated to the charged fixed point of the continuous Abelian Higgs field theory. We show that in the model with gauge group $\mathbb{Z}_q^{(nc)}\equiv 2π\mathbb{Z}/q$ only critical transitions in the orthogonal universality classes are present for small values of $N$, while a symmetry enlargement to the continuous Abelian Higgs universality class happens when $q\ge 5$ and $N$ is large enough.