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Exact solution of D = 1 Kazakov-Migdal induced gauge theory

1992; Elsevier BV; Volume: 293; Issue: 1-2 Linguagem: Inglês

10.1016/0370-2693(92)91496-v

1873-2445

Michele Caselle, A. D’Adda, Stefano Panzeri,

Physics of Superconductivity and Magnetism

We give the exact solution of the Kazakov-Migdal induced gauge model in the case of a D=1 compactified lattice with a generic number $S$ of sites and for any value of N. Due to the peculiar features of the model, the partition function that we obtain also describes the vortex-free sector of the D=1 compactified bosonic string, and it coincides in the continuum limit with the one obtained by Boulatov and Kazakov in this context.