A survey of large N continuum phase transitions

Details A survey of large N continuum phase transitions A survey of large N continuum phase transitions

2007-09-29

arxiv.org/abs/0710.0098v2

PoSLAT2007:020,2007

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, 10 figures, plenary talk in lattice 2007

Scientific paper

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 $\theta$ 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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