From large N quantum mechanics to planar field theory

TL;DR

This paper reviews Fock space methods for calculating spectra in various supersymmetric gauge models, highlighting their effectiveness and discussing infrared divergence issues with potential solutions.

Contribution

It provides a comprehensive review of Fock space techniques applied to supersymmetric gauge theories, including new insights into infrared divergences and their possible resolutions.

Findings

Effective Fock space methods for supersymmetric models

Analysis of infrared divergences in scalar theories

Potential dynamical solutions to divergence problems

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.