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Planarity in Noncommutative Gauge Theories

Antonio Bassetto·Federica Vian
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Abstract

Planarity was introduced by 't Hooft in his topological classification of diagrams in the large-N limit of U(N) gauge theories. Planarity also occurs in noncommutative field theories where amplitudes possess invariance only under cyclic permutations, a feature inherited from the parent string theory. In noncommutative gauge theories both kinds of planarity merge in a context which turns out to be particularly intriguing in the two-dimensional case where gauge invariant correlators can be explicitly computed.

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Antonio Bassetto, Federica Vian. 2003-09-24. Planarity in Noncommutative Gauge Theories. https://arxiv.org/abs/hep-th/0309224

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