Kazakov-Migdal Induced Gauge Theory and the Coupling of 2D Quantum Gravity to D=1 Matter

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Talk given By M.Caselle at LATTICE 92, 7 pages, plain latex, DFTT 65/92

Scientific paper

10.1016/0920-5632(93)90331-Y

Recently Kazakov and Migdal proposed a new approach to the large $N$ limit of SU(N) gauge theories which could hopefully describe the asymptotically free fixed point of QCD in 4 dimensions. In this contribution we review the exact solution of their model in the case of a $d=1$ compactified lattice and its connection with the partition function of the vortex-free sector of the d=1 compactified bosonic string. Some new results on the addition of a linear term in the K-M model and on the SU(N) restriction of the general U(N) model are also presented.

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