Large-N quantum gauge theories in two dimensions

Details Large-N quantum gauge theories in two dimensions Large-N quantum gauge theories in two dimensions

1992-12-15

arxiv.org/abs/hep-th/9212090v2

Phys.Lett. B303 (1993) 95-98

Physics

High Energy Physics

High Energy Physics - Theory

6pp., Latex, TAUP-2012-92 (revised: few changes, some references added)

Scientific paper

10.1016/0370-2693(93)90049-N

The partition function of a two-dimensional quantum gauge theory in the large-$N$ limit is expressed as the functional integral over some scalar field. The large-$N$ saddle point equation is presented and solved. The free energy is calculated as the function of the area and of the Euler characteristic. There is no non-trivial saddle point at genus $g>0$. The existence of a non-trivial saddle point is closely related to the weak coupling behavior of the theory. Possible applications of the method to higher dimensions are briefly discussed.

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