论文标题
2+1个维度和临界电流相关函数$ u（1）\ times u（1）$ abelian Higgs模型
Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons $U(1)\times U(1)$ Abelian Higgs model
论文作者
论文摘要
虽然$ u（1）\ times u（1）$ - 对称希格斯理论的相结构仍在争论中，但最近显示出具有附加Chern-Simons术语的该理论的一个版本，该理论是经历了二阶相变[V. V.。 Shyta，J。VanDen Brink和F. S. Nogueira，物理。莱特牧师。 127，045701（2021）]。该理论对于具有两个轨距领域的无质量费米子的拓扑字段理论是双重的。在这里，我们详细介绍了这种二元性的几个方面，重点关注临界电流相关因子以及琼脂化二元性所反映的临界点的性质。与$ u（1）\ times u（1）$对称和拓扑电流相关的当前相关器被证明与通用的预取子相吻合，我们认为对于$ u（1）$（1）$（1）$（1）\ times U（times u（times u（1）\ times u（times u（1）），这是相同的。既定的二元性都提供了另一种方法，以证实玻色粒Chern-simons $ u（1）\ times u（1）$ higgs模型中存在关键点的主张：费米昂二元模型的Schwinger-dyson分析表明，没有动态质量产生。没有Chern-Simons术语中的Chern-Simons术语，就不能说这件事也不能说。
While the phase structure of the $U(1)\times U(1)$-symmetric Higgs theory is still under debate, a version of this theory with an additional Chern-Simons term was recently shown to undergo a second-order phase transition [V. Shyta, J. van den Brink, and F. S. Nogueira, Phys. Rev. Lett. 127, 045701 (2021)]. This theory is dual to a topological field theory of massless fermions featuring two gauge fields. Here we elaborate on several aspects of this duality, focusing on the critical current correlators and on the nature of the critical point as reflected by the bosonization duality. The current correlators associated to the $U(1)\times U(1)$ symmetry and the topological current are shown to coincide up to a universal prefactor, which we find to be the same for both $U(1)$ and $U(1)\times U(1)$ topological Higgs theories. The established duality offers in addition another way to substantiate the claim about the existence of a critical point in the bosonic Chern-Simons $U(1)\times U(1)$ Higgs model: a Schwinger-Dyson analysis of the fermionic dual model shows that no dynamical mass generation occurs. The same cannot be said for the theory without the Chern-Simons term in the action.
