Free energy of the two-dimensional $U(n)$-gauge field theory on the sphere
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 389-401

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The partition function of the two-dimensional $U(n)$-gauge field theory in the limit $n\to\infty$ is rigorously derived. Recent studies in the theory of random matrices combined with the traditional tools of statistical mechanics were the stimuli for the methods used and the results obtained.
@article{TMF_1998_115_3_a4,
     author = {B. A. de Monvel and M. V. Shcherbina},
     title = {Free energy of the two-dimensional $U(n)$-gauge field theory on the sphere},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {389--401},
     publisher = {mathdoc},
     volume = {115},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a4/}
}
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B. A. de Monvel; M. V. Shcherbina. Free energy of the two-dimensional $U(n)$-gauge field theory on the sphere. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 389-401. http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a4/