The vacuum expectation value of the Wilson loop functional in pure Yang Mills theory on an arbitrary two-dimensional orientable manifold is studied. We consider the calculation of this quantity for the Abelian theory in the continuum case and for the arbitrary gauge group and arbitrary lattice actio
Loop Correlators and Theta States in Two-Dimensional Yang–Mills Theory
✍ Scribed by G. Grignani; L. Paniak; G.W. Semenoff; P. Sodano
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 449 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
Explicit computations of the partition function and correlation functions of Wilson and
Polyakov loop operators in theta-sectors of two dimensional Yang Mills theory on the line cylinder and torus are presented. Several observations about the correspondence of two dimensional Yang Mills theory with unitary matrix quantum mechanics are presented. The incorporation of the theta-angle which characterizes the states of two dimensional adjoint QCD is discussed.
📜 SIMILAR VOLUMES
We study the effective action in Euclidean Yang-Mills theory with a compact simple gauge group in one-loop approximation assuming a covariantly constant gauge field strength as a background. For groups of higher rank and spacetimes of higher dimensions such field configurations have many independent
QCD 2 with fermions in the adjoint representation is invariant under SU(N )ÂZ N and thereby is endowed with a nontrivial vacuum structure (k-sectors). The static potential between adjoint charges, in the limit of infinite mass, can be therefore obtained by computing Wilson loops in the pure Yang Mil