Random Bond perturbations of the O(2) vector model

作     者：Nocchi, Maria 

作者机构：Mathematical Institute University of Oxford Radcliffe Observatory Quarter Andrew Wiles Building Woodstock Road OxfordOX2 6GG United Kingdom 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Computation theory 

摘      要：We investigate the impact of quenched disorder in the critical O(2) vector model. We first review, in the modern language of Conformal Perturbation Theory, the random temperature perturbation in 4 − ϵ. Then, we present a direct computation in 3d. The pure CFT is now strongly interacting, and its CFT data are determined in recent numerical bootstrap studies. We then explore the anisotropic disorder associated with the lowest-dimension charge-2 scalar, which is relevant in 3d. This perturbation breaks locally O(2). However, the symmetry is restored in the IR in a weakly coupled new fixed point. Copyright © 2024, The Authors. All rights reserved.