Correlation Functions of the SU(infinity) Principal Chiral Model

Abstract

We obtain exact matrix elements of physical operators of the (1+1)-dimensional nonlinear sigma model of an SU(N)-valued bare field, in the 't Hooft limit N goes to infinity. Specifically, all the form factors of the Noether current and the stress-energy-momentum tensor are found with an integrable bootstrap method. These form factors are used to find vacuum expectation values of products of these operators.

Further typographical errors corrected to conform to the published version (which will appear in Physical Review D). Still revtex, 12 pages

References in corpus (7)

• SU(N) gauge theories at large N
• Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory
• Exact form factors of the SU(N) Gross-Neveu model and 1/N expansion
• The nested SU(N) off-shell Bethe ansatz and exact form factors
• String Tensions and Representations in Anisotropic 2+1-Dimensional Weakly-Coupled Yang-Mills Theory
• Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory

Cited by in corpus (8)

• Resurgence in QFT: Unitons, Fractons and Renormalons in the Principal Chiral Model
• Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles
• Seeing asymptotic freedom in an exact correlator of a large-$N$ matrix field theory
• (2+1)-Dimensional Yang-Mills Theory and Form Factor Perturbation Theory
• Dynamical Mass Reduction in the Massive Yang-Mills Spectrum in 1+1 dimensions
• Nontrivial Thermodynamics in 't Hooft's Large-$N$ Limit
• Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
• The universal coefficient of the exact correlator of a large-$N$ matrix field theory