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

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.

Figures (1)

• Figure 1: ${\tilde{k}}^2(\tau)$ vs. $\tau$ for $m^2=0.5$ (solid line) and $m^2=2$ (dashed line)