Large $N$ Phase Transition In The Heat Kernel On The $U(N)$ Group

Vladimir A. Kazakov; Thomas Wynter

doi:10.1016/0550-3213(95)00077-6

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arXiv · hep-th/9410087

Large $N$ Phase Transition In The Heat Kernel On The $U(N)$ Group

Vladimir A. Kazakov·Thomas Wynter

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Abstract

The large N phase transition point is investigated in the heat kernel on the $U(N)$ group with respect to arbitrary boundary conditions. A simple functional relation is found relating the density of eigenvalues of the boundary field to the saddle point shape of the typical Young tableaux in the large $N$ limit of the character expansion of the heat kernel. Both strong coupling and weak coupling phases are investigated for some particular cases of the boundary holonomy.

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Vladimir A. Kazakov, Thomas Wynter. 1994-10-12. Large $N$ Phase Transition In The Heat Kernel On The $U(N)$ Group. https://doi.org/10.1016/0550-3213(95)00077-6

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