Complex zeros of the partition function for two-dimensionalU(N) lattice gauge theories

Research paper by K. S. Kölbig, W. Rühl

Indexed on: 01 Jun '82Published on: 01 Jun '82Published in: Zeitschrift für Physik C Particles and Fields


The complex zeros of the partition function for the two-dimensionalU(N) lattice gauge model in the variable β or ξ=N/β are calculated analytically for large β and numerically. The zeros formN trajectories which forN→∞ fill a domain of the ξ plane densely. This domain touches the real ξ axis at ξ=1 with a kink that causes the Gross-Witten phase transition.