A two point function in a cascading N=1 gauge theory from supergravity

TL;DR

This paper calculates the two-point correlation function and glueball spectrum in a nonconformal N=1 SUSY gauge theory using supergravity, revealing scale-dependent behavior and consistent local 4D quantum field theory properties.

Contribution

It provides the first supergravity-based computation of two-point functions and glueball spectra in a cascading N=1 gauge theory with nonconformal features.

Findings

Logarithmic correction to conformal behavior in the correlator

Correlator remains nonsingular, indicating a local 4D QFT at all scales

Spectrum of low-lying glueball modes computed

Abstract

We compute the two point correlation function of a dimension 4 operator in a nonconformal cascading N=1 SUSY gauge theory using the supergravity dual found by Klebanov and Strassler[hep-th/0007191]. The two point function has a logarithmic correction to conformal behavior which is related to the scale dependence of the effective number of colors. The nonsingular behavior of this correlator suggests that the theory remains a local 4-dimensional quantum field theory at all scales. We also compute the spectrum of low-lying glueball modes corresponding to the above operator.