Super-Instantons in Gauge Theories and Troubles with Perturbation Theory

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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9 pages, 1 figure available on request from the authors

Scientific paper

10.1103/PhysRevLett.74.1924

In gauge theories with continuous groups there exist classical solutions
whose energy vanishes in the thermodynamic limit (in any dimension). The
existence of these super-instantons is intimately related to the fact that even
at short distances perturbation theory can fail to produce unique results. This
problem arises only in non-Abelian models and only starting at O(1/beta^2).

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