论文标题
在猝灭的kardar-parisi-Zhang II类中销售：现场理论
Depinning in the quenched Kardar-Parisi-Zhang class II: Field theory
论文作者
论文摘要
有两个主要的普遍性类别用于无序介质中的弹性接口：淬火的Edwards-Wilkinson（QEW）和Qunched Kardar-Parisi-Zhang（QKPZ）。只要界面上两个相邻位点之间的弹性力纯粹是谐波，并且在倾斜下不变，那么一类是相关的。当弹性是非线性的，或表面沿正常方向增长时，第二类适用。它包括流体吸收，1992年的Tang-Leschorn细胞自动机（TL92），用Anharmonic弹性（ADEP）和QKPZ含量。虽然田间理论为QEW开发了，但QKPZ没有一致的理论。本文的目的是基于尺寸的大规模数值模拟$ d = 1 $，$ 2 $和$ 3 $，在功能重新归一化组（FRG）框架中构建此字段理论。为了测量有效的力相关器和耦合常数，驱动力来自具有曲率$ m^2 $的限制电势。我们表明，在存在KPZ术语的情况下，这与普遍的信念相反。随之而来的田地理论变得巨大，不再能够改变科尔·霍普（Cole-Hopf）。作为交换，它具有有限的KPZ非线性$λ$的IR吸引人稳定固定点。由于在尺寸$ d = 0 $中既没有弹性，也没有kpz术语。结果，两个通用类别以$ d $中的术语来区分。这使我们能够在尺寸$ d = 1 $中构建一致的字段理论，从而在更高的维度中失去了一些预测能力。
There are two main universality classes for depinning of elastic interfaces in disordered media: quenched Edwards-Wilkinson (qEW), and quenched Kardar-Parisi-Zhang (qKPZ). The first class is relevant as long as the elastic force between two neighboring sites on the interface is purely harmonic, and invariant under tilting. The second class applies when the elasticity is non-linear, or the surface grows preferentially in its normal direction. It encompasses fluid imbibition, the Tang-Leschorn cellular automaton of 1992 (TL92), depinning with anharmonic elasticity (aDep), and qKPZ. While the field theory is well developed for qEW, there is no consistent theory for qKPZ. The aim of this paper is to construct this field theory within the Functional renormalization group (FRG) framework, based on large-scale numerical simulations in dimensions $d=1$, $2$ and $3$, presented in a companion paper. In order to measure the effective force correlator and coupling constants, the driving force is derived from a confining potential with curvature $m^2$. We show, that contrary to common belief this is allowed in the presence of a KPZ term. The ensuing field theory becomes massive, and can no longer be Cole-Hopf transformed. In exchange, it possesses an IR attractive stable fixed point at a finite KPZ non-linearity $λ$. Since there is neither elasticity nor a KPZ term in dimension $d=0$, qEW and qKPZ merge there. As a result, the two universality classes are distinguished by terms linear in $d$. This allows us to build a consistent field theory in dimension $d=1$, which loses some of its predictive powers in higher dimensions.
