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arXiv · 0710.0098

A survey of large N continuum phase transitions

R. Narayanan·H. Neuberger
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Abstract

The main focus of this talk is the physics of large N QCD on a continuum torus. A cascade of phase transitions associated with the breaking of U(1) symmetries will be discussed. The continuum Wilson loop as a function of its area will be discussed along with its universality properties and the associated double scaling limit. Some recent progress in twisted Eguchi-Kawai is presented. Gauge field topology and $θ$ vacuua are also discussed in the context of large N gauge theories. Phase transitions in 2D large N principal chiral models are compared with similar transitions in large $N$ gauge theories. Finally, connections to some topics in string theory and gravity are briefly described.

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R. Narayanan, H. Neuberger. 2007-10-12. A survey of large N continuum phase transitions. https://arxiv.org/abs/0710.0098

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