NEW STATES OF GAUGE THEORIES ON A CIRCLE

Azuma T., Morita T., Takeuchi Sh.

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We study a one-dimensional large-N U(N) gauge theory on a circle as a toy model of higher dimensional Yang-Mills theories. We nd a new class of saddle point solutions in this theory. These solutions are characterized by the expectation values of the Polyakov loop operators, which wind the circle different times. We nd two evidences that these solutions appear as intermediate states in certain dynamical processes. One is from a numerical calculation and another is from the dual gravity. The similar solutions exist in a wide class of SU(N) and U(N) gauge theories on S1 including QCD and pure Yang-Mills theories in various dimensions if N >= 3.

Keywords: gauge theories, Yang-Mills theory, gravity

( 719.19 kB ) ( 608.23 kB )

Issue: 13, 2012

Pages: 13 — 18

Downloads: 861