Uniqueness of the minimum of the free energy of the 2D Yang-Mills theory at large N

Abstract

There has been some controversies at the large $N$ behaviour of the 2D Yang-Mills and chiral 2D Yang-Mills theories. To be more specific, is there a one parameter family of minima of the free energy in the strong region, or the minimum is unique. We show that there is a missed equation which, added to the known equations, makes the minimum unique.

8 pages,Latex

References in corpus (1)

• Large-N limit of the generalized 2-dimensional Yang-Mills theories

Cited by in corpus (11)

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• More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories (nlgYM${}_2$'s)
• 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-local 2D Generalized Yang-Mills theories on arbitrary surfaces with boundary
• Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface