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

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

2005-08-10

arxiv.org/abs/hep-th/0508069v2

Nucl.Phys.B733:123-131,2006

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2005.11.008

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.

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