Summing Planar Diagrams by an Integrable Bootstrap

Abstract

Correlation functions of matrix-valued fields are not generally known for massive renormalized field theories. We find the large-N limit of form factors of the (1+1)-dimensional sigma model with SU(N) X SU(N) symmetry. These form factors give a correction to the free-field approximation for the N=infinity Wightman function. The method is a combination of the 1/N-expansion of the S-matrix and Smirnov's form-factor axioms. We expand the renormalized field in terms of a free massive Bosonic field as N goes to infinity.

10 pages, revtex. Fixing of further misprints. Version to appear in Phys. Rev. D

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Cited by in corpus (13)

• Resurgence in QFT: Unitons, Fractons and Renormalons in the Principal Chiral Model
• Multiparticle Form Factors of the Principal Chiral Model At Large N
• Summing Planar Diagrams by an Integrable Bootstrap II
• Correlation Functions of the SU(infinity) Principal Chiral Model
• Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model
• Seeing asymptotic freedom in an exact correlator of a large-$N$ matrix field theory
• Dynamical Mass Reduction in the Massive Yang-Mills Spectrum in 1+1 dimensions
• (2+1)-Dimensional Yang-Mills Theory and Form Factor Perturbation Theory
• Planar quantum quenches: Computation of exact time-dependent correlation functions at large $N$
• Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
• Nontrivial Thermodynamics in 't Hooft's Large-$N$ Limit
• The universal coefficient of the exact correlator of a large-$N$ matrix field theory
• Asymptotic factorization of n-particle SU(N) form factors