Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-06-04
Phys.Lett. B443 (1998) 325-330
Physics
High Energy Physics
High Energy Physics - Theory
RevTex, 11 pages, two references added
Scientific paper
10.1016/S0370-2693(98)01319-7
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.
Bassetto Antonio
Griguolo Luca
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