From large N quantum mechanics to planar field theory

Abstract

We review a performance of Fock space methods in calculating spectra of a range of supersymmetric models with gauge symmetry. Examples include: a) SU(2) Supersymmetric Yang Mills Quantum Mechanics in four euclidean dimensions, b) Quantum Mechanics of one fermion and one boson with infinite number of colours, and c) planar 1+1 dimensional Yang Mills theories with adjoint matter. Infrared divergencies of the latter theories with scalars are briefly discussed and a possible dynamical solution of the problem is suggested.