Logarithmic correlators or responses in non-relativistic analogues of conformal invariance

TL;DR

This paper reviews recent advances in understanding logarithmic terms in correlators and response functions within models exhibiting non-relativistic conformal-like symmetries, highlighting their applications in statistical physics.

Contribution

It provides a comprehensive review of logarithmic correlators in non-relativistic conformal invariance models, focusing on logarithmic Schrödinger and conformal Galilean invariance.

Findings

Logarithmic terms appear in correlators of non-relativistic conformal models.

Applications to statistical physics demonstrate the relevance of these logarithmic structures.

Theoretical frameworks for logarithmic Schrödinger and Galilean invariance are summarized.

Abstract

Recent developments on emergence of logarithmic terms in correlators or response functions of models which exhibit dynamical symmetries analogous to conformal invariance in not necessarily relativistic systems are reviewed. The main examples of these are logarithmic Schr\"odinger-invariance and logarithmic conformal Galilean invariance. Some applications of these ideas to statistical physics are described.