Geometric Quantization and Two Dimensional QCD

Geometric Quantization and Two Dimensional QCD

In this article, we will discuss geometric quantization of 2d QCD with fermionic and bosonic matter fields. We identify the respective large-Nc phase spaces as the infinite dimensional Grassmannian and the infinite dimensional Disc. The Hamiltonians are quadratic functions, and the resulting equations of motion for these classical systems are nonlinear. In [33], it was shown that the linearizat...

Two-dimensional Qcd and Strings *

A review is given of recent research on two-dimensional gauge theories, with particular emphasis on the equivalence between these theories and certain string theories with a two-dimensional target space. Some related open problems are discussed.

Generalized Two-Dimensional QCD

We study two-dimensional gauge theories with fundamental fermions and a general first order gauge-field Lagrangian. For the case of U(1) we show how standard bosonization of the Schwinger model generalizes to give mesons interacting through a general LandauGinzburg potential. We then show how for a subclass of SU(N) theories, ’t Hooft’s solution of large N two-dimensional QCD can be generalized...

Geometric Quantization and Equivariant Cohomology Geometric Quantization and Equivariant Cohomology

Screening in Two-dimensional QCD

We discuss the issue of screening and confinement of external colour charges in bosonised two-dimensional quantum chromodynamics. Our computation relies on the static solutions of the semi-classical equations of motion. The significance of the different representations of the matter field is explicitly studied. We arrive at the conclusion that the screening phase prevails, even in the presence ...