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Two-Dimensional Quantum Yang–Mills Theory and the Makeenko–Migdal Equations

Thierry Lévy ()
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Thierry Lévy: Sorbonne Université, Laboratoire de Probabilités, Statistique et Modélisation (LPSM)

A chapter in Frontiers in Analysis and Probability, 2020, pp 275-325 from Springer

Abstract: Abstract These notes, echoing a conference given at the Strasbourg–Zurich seminar in October 2017, are written to serve as an introduction to 2-dimensional quantum Yang–Mills theory and to the results obtained in the last five to ten years about its so-called large N limit.

Keywords: Yang–Mills measure; Connection; Holonomy; Compact surface; Wilson loop; Unitary Brownian motion; Douglas–Kazakov phase transition; Makeenko–Migdal equations; Schwinger–Dyson equations; Master field; 46T12; 60B20; 81T13 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-56409-4_7

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DOI: 10.1007/978-3-030-56409-4_7

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