D-term Dynamical SUSY Breaking

Abstract

We consider an N=1 supersymmetric U(N) gauge theory with an adjoint chiral multiplet. By developing a self-consistent Hartree-Fock approximation to the leading order which is reminiscent of that of the BCS/NJL in the superconductivity/chiral symmetry, we show that the N=1 supersymmetry is spontaneously broken, giving a mixed Majorana-Dirac mass term for gaugino due to the nonvanishing D-term VEV and F-term one induced by D-term.

Comments: 10 pages, 1 figure, prepared for the proceedings of the conference "Progress in Quantum Field Theory and String Theory", April 3-7 2012, Media Center, Osaka City University, Japan, a reference added