The Confining Phase Kahler Potential in SUSY QCD

Abstract

We investigate the low energy structure of the Kahler potential in SUSY QCD with Nf=Nc+1 quark flavors. Since this theory's moduli space is everywhere smooth, a systematic power series expansion of its Kahler potential can be developed in terms of confined meson and baryon fields. Perturbation theory in the supersymmetric sigma model based upon a momentum expansion consistent with naive dimensional analysis and 1/Nf power counting exhibits some similarities with ordinary QCD chiral perturbation theory along with several key differences. We compute meson and baryon wavefunction renormalization as well as Kahler potential operator mixing to leading nontrivial order. We also deduce the asymptotic dependence of the lowest dimension operators' coefficients upon moduli space location along flat directions where the theory is Higgsed down to Nf-1=(Nc-1)+1 SUSY QCD. Although an exact form for the confining phase Kahler potential remains unknown, we find that some detailed Kahler sector information can nevertheless be derived from first principles.