Article ID Journal Published Year Pages File Type
1844418 Nuclear Physics B 2006 9 Pages PDF
Abstract
The large-N limit of the expectation values of the Wilson loops in the fundamental representation, 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.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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