Observables of the generalized 2D Yang-Mills theories on arbitrary surfaces: a path integral approach

Abstract

Using the path integral method, we calculate the partition function and the generating functional (of the field strengths) of the generalized 2D Yang-Mills theories in the Schwinger--Fock gauge. Our calculation is done for arbitrary 2D orientable, and also nonorientable surfaces.

6 pages, LaTex

References in corpus (6)

• Two Dimensional Gauge Theories Revisited
• Localization and Diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories
• The String Theory Approach to Generalized 2D Yang-Mills Theory
• Updating QCD${}_2$
• $n$-point functions of $2d$ Yang-Mills theories on Riemann surfaces
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Cited by in corpus (10)

• Nonlocal two-dimensional Yang-Mills- and generalized Yang-Mills-theories
• On the phase structure of two--dimensional generalized Yang--Mills theories
• Large-N limit of the two-dimensoinal Yang-Mills theory on surfaces with boundaries
• Large-N behavior of the Wilson loops of generalized two-dimensional Yang-Mills theories
• Phase transitions of Large-N two-dimensional Yang-Mills and generalized Yang-Mills theories in the double scaling limit
• Large-N limit of the generalized 2D Yang-Mills theory on cylinder
• Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere
• Generalized simplicial chiral models
• Non-Douglas-Kazakov phase transition of two-dimensional generalized Yang-Mills theories
• More on generalized simplicial chiral models