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arXiv 1903.05331hep-thcond-mat.stat-mechhep-ph
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具有阿贝尔规范场的O(N)+O(N)-模型中的带电不动点和中性不动点

Charged and neutral fixed points in the O(N)+O(N)-model with Abelian gauge fields

Aron J. Beekman, Gergely Fejős

摘要:

在阿贝尔-希格斯模型或金兹伯格-朗道超导模型中,红外稳定带电固定点的存在确保了超导相变是二级的参数范围,而不是从科尔曼-温伯格机制推断的涨落诱导的一级。利用泛函重整化群,研究了两个N分量场耦合到两个规范场以及相互耦合的阿贝尔-希格斯模型的两个推广场的带电不动点和中性不动点.主要集中在三维,在中性的情况下,这是一个模型的两个组件的玻色-爱因斯坦凝聚,我们证实了固定点结构建立在早期的作品使用不同的方法。荷电模型是二维位错介导的量子熔化的对偶理论。我们发现对所有N>2存在三个带电不动点,而对N=2存在额外的不动点。

英文摘要:

In the Abelian-Higgs model, or Ginzburg-Landau model of superconductivity, the existence of an infrared stable charged fixed point ensures that there is a parameter range where the superconducting phase transition is second order, as opposed to fluctuation-induced first order as one would infer from the Coleman-Weinberg mechanism. We study the charged and neutral fixed points of a two-field generalization of the Abelian-Higgs model, where two N-component fields are coupled to two gauge fields and to each other, using the functional renormalization group. Focusing mostly on three dimensions, in the neutral case, this is a model for two-component Bose-Einstein condensation, and we confirm the fixed-point structure established in earlier works using different methods. The charged model is a dual theory of two-dimensional dislocation-mediated quantum melting. We find the existence of three charged fixed points for all N>2, while there are additional fixed points for N=2.

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