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Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription

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arxiv hep-th/9806037 v3 pith:KGW5PM53 submitted 1998-06-04 hep-th

classification hep-th
keywords instantonlimitpureareadecompactificationexponentiationperturbativewu-mandelstam-leibbrandt
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The exact Wilson loop expression for the pure Yang-Mills U(N) theory on a sphere $S^2$ of radius $R$ exhibits, in the decompactification limit $R\to \infty$, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative series in which the light-cone gauge Yang-Mills propagator is prescribed according to Wu-Mandelstam-Leibbrandt. When instantons are disregarded, no pure area exponentiation occurs, the string tension is different and, in the large-N limit, confinement is lost.

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Cited by 1 Pith paper

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  1. Lattice defect networks in 2d Yang-Mills

    hep-th 2025-01 conditional novelty 6.0 of 10

    A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.

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