Two-dimensional Yang-Mills theory: perturbative and instanton contributions, and its relation to QCD in higher dimensions

Details Two-dimensional Yang-Mills theory: perturbative and instanton contributions, and its relation to QCD in higher dimensions Two-dimensional Yang-Mills theory: perturbative and instanton contributions, and its relation to QCD in higher dimensions

1999-11-25

arxiv.org/abs/hep-th/9911208v2

Nucl.Phys.Proc.Suppl. 88 (2000) 184-193

Physics

High Energy Physics

High Energy Physics - Theory

latex 10 pages, no figures. Plenary session talk at the Meeting ``Constrained dynamics and quantum gravity 99'', Villasimius (

Scientific paper

10.1016/S0920-5632(00)00767-2

Two different scenarios (light-front and equal-time) are possible for Yang-Mills theories in two dimensions. The exact $\bar q q$-potential can be derived in perturbation theory starting from the light-front vacuum, but requires essential instanton contributions in the equal-time formulation. In higher dimensions no exact result is available and, paradoxically, only the latter formulation (equal-time) is acceptable, at least in a perturbative context.

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