Quench Disorder and Scalar Field Theory in the Presence of Boundary

TL;DR

This paper investigates the effects of quenched boundary disorder on scalar field theories, analyzing their renormalization group properties and fixed points in various dimensions using epsilon-expansion techniques.

Contribution

It introduces scalar field theories with boundary-localized disorder and explores their renormalization group behavior, providing new insights into boundary effects in disordered systems.

Findings

Identification of fixed points in boundary-disordered scalar theories

Analysis of RG flow properties with boundary disorder

Construction of models in various dimensions with boundary disorder

Abstract

Disordered systems are interesting for many physical reasons. In this article, we study the renormalization group property of quenched disorder systems in the presence of a boundary. We construct examples of scalar field theories in various dimensions with both classical and quantum disorder localized at the boundary. We study these theories in $\e$-expansion and discuss properties of fixed points of the renormalization group flow.