Correlation functions for Galilean conformal invariant field theory

TL;DR

This paper investigates the two-point correlation functions in Galilean conformal-invariant field theories, revealing dimension-dependent differences and discrepancies with prior results in the literature.

Contribution

It provides explicit calculations of correlation functions for Galilean conformal-invariant fields and highlights their dimension-dependent behavior, especially in two dimensions.

Findings

Correlation functions differ between d=2 and d≠2.

Results in d≠2 differ from previous studies.

Correlation functions are explicitly computed for Galilean conformal invariance.

Abstract

In this paper we consider non-relativistic-conformal group, then we calculate two point function for the fields that are Galilean conformal-invariant, then we show that the correlation function for Galilean conformal-invariant fields in $d=2$ are different from $d\neq2$. Our result in $d\neq2$ is different with previous results in \cite{3}.