Large-N behavior of the Wilson loops of generalized two-dimensional Yang-Mills theories

Abstract

The large-N limit of the expectation values of the Wilson loops corresponding to two-dimensional U(N) Yang-Mills and generalized Yang-Mills theories on a sphere are studied. The behavior of the expectation values of the Wilson loops both near the critical area and for large areas are investigated. It is shown that the expectation values of the Wilson loops at large areas behave exponentially with respect to the area of the smaller region the boundary of which is the loop; and for the so called typical theories, the expectation values of the Wilson loops exhibit a discontinuity in their second derivative (with respect to the area) at the critical area.

arXiv comment11 pages,some typos corrected, to be appeared in Nucl. Phys. B

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Cited by in corpus (3)

• Phase transitions of Large-N two-dimensional Yang-Mills and generalized Yang-Mills theories in the double scaling limit
• Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere
• Non-Douglas-Kazakov phase transition of two-dimensional generalized Yang-Mills theories