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arXiv · hep-th/9212090

Large-N quantum gauge theories in two dimensions

B. Rusakov
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Abstract

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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B. Rusakov. 1993-01-03. Large-N quantum gauge theories in two dimensions. https://doi.org/10.1016/0370-2693(93)90049-n

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