The Integrable Bootstrap Program at Large N and its Applications in Gauge Theory

2013/10/23 by Cubero, Axel Cortes
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.1310.6394

Abstract

We present results for the large-N limit of the (1+1)-dimensional principal chiral sigma model. This is an asymptotically-free N× N matrix-valued field with massive excitations. All the form factors and the exact correlation functions of the Noether-current operator and the energy-momentum tensor are found, from Smirnov's form-factor axioms. We consider (2+1)-dimensional SU(∞) Yang-Mills theory as an array of principal chiral models with a current-current interaction. We discuss how to use our new form factors to calculate physical quantities in this gauge theory.

Related

• Yang-Mills Theories as Deformations of Massive Integrable Models
• Large-N Principal Chiral Model in Arbitrary External Fields
• Exact Correlators in the 't Hooft Limit of the Principal Chiral Model
• Operator Products in the SU(∞) Principal Chiral Model
• An asymptotic solution of large-N QCD, and of large-N N=1 SUSY YM