Exact Computation of Loop Averages in Two-Dimensional Yang-Mills Theory

May, 1980
44 pages
Published in:
  • Phys.Rev.D 22 (1980) 3090
Report number:
  • EFI-80/23-CHICAGO

Citations per year

198119922003201420240246810
Abstract: (APS)
We present an explicit algorithm that allows the exact computation of all nonlocal gauge-invariant correlation functions in two-dimensional Yang-Mills theory. Explicit expressions are given for the expectation value of entangled loop operators and their products in the U(N) theory with arbitrary N.Using these results we show that the Schwinger-Dyson equation for loops holds without singularities in the continuum, and we verify the factorizability of the correlation functions in the N→∞ limit. A non-Abelian version of Stokes's theorem which is used in the calculations is derived for an arbitrary number of dimensions.
Note:
  • Ph.D. Thesis
  • thesis
  • GAUGE FIELD THEORY: TWO-DIMENSIONAL
  • GAUGE FIELD THEORY: YANG-MILLS
  • CORRELATION FUNCTION
  • GROUP THEORY: U(N)
  • FIELD EQUATIONS: DYSON-SCHWINGER
  • FIELD THEORY: PATH INTEGRAL
  • CHARGE: TOPOLOGICAL
  • BOUNDARY CONDITION