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On the Master Field in Two Dimensions

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Functional Analysis on the Eve of the 21st Century

Part of the book series: Progress in Mathematics ((PM,volume 131/132))

Abstract

If a master field exists, for large N gauge theories, it is an extreme point of the set of positive linear central functionals on the group algebra of a group of loops. In two dimensions master fields exist. We exhibit it explicitly for the plane.

Supported in part by DoE Grant No. DE-FG02-88ER25066

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Author information

Authors and Affiliations

  1. Department of Mathematics, MIT, Cambridge, MA, 02139, USA

    I. M. Singer

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  1. I. M. Singer
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Rutgers University, New Brunswick, NJ, 08903, USA

    Simon Gindikin , James Lepowsky  & Robert L. Wilson ,  & 

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© 1995 Birkhäuser Boston

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Singer, I.M. (1995). On the Master Field in Two Dimensions. In: Gindikin, S., Lepowsky, J., Wilson, R.L. (eds) Functional Analysis on the Eve of the 21st Century. Progress in Mathematics, vol 131/132. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2582-9_10

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  • DOI: https://doi.org/10.1007/978-1-4612-2582-9_10

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7590-9

  • Online ISBN: 978-1-4612-2582-9

  • eBook Packages: Springer Book Archive

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