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Traces in two-dimensional QCD: the large-\(N\) limit. (English) Zbl 1146.81332

Albeverio, Sergio (ed) et al., Traces in number theory, geometry and quantum fields. Wiesbaden: Vieweg (ISBN 978-3-8348-0371-9/hbk). Aspects of Mathematics E38, 193-212 (2008).
Summary: An overview of mathematical aspects of \(U(N)\) pure gauge theory in two dimensions is presented, with focus on the large-\(N\) limit of the theory. Examples are worked out expressing Wilson loop expectation values in terms of areas enclosed by loops.
For the entire collection see [Zbl 1130.11003].

MSC:

81V05 Strong interaction, including quantum chromodynamics
81T13 Yang-Mills and other gauge theories in quantum field theory
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory