The stability of vacua in two-dimensional gauge theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 1 figure

Scientific paper

10.1016/S0370-2693(01)00163-0

We discuss the stability of vacua in two-dimensional gauge theory for any simple, simply connected gauge group. Making use of the representation of a vacuum in terms of a Wilson line at infinity, we determine which vacua are stable against pair production of heavy matter in the adjoint of the gauge group. By calculating correlators of Wilson loops, we reduce the problem to a problem in representation theory of Lie groups, that we solve in full generality.

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