Summing planar diagrams by an integrable bootstrap

TY - JOUR

T1 - Summing planar diagrams by an integrable bootstrap

AU - Orland, Peter Oliver

PY - 2011/11/4

Y1 - 2011/11/4

N2 - 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)×SU(N) symmetry. These form factors give a correction to the free-field approximation for the N=∞ 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→∞.

AB - 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)×SU(N) symmetry. These form factors give a correction to the free-field approximation for the N=∞ 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→∞.

U2 - 10.1103/PhysRevD.84.105005

DO - 10.1103/PhysRevD.84.105005

M3 - Journal article

SN - 2470-0010

VL - 84

SP - 105005

JO - Physical Review D

JF - Physical Review D

IS - 10

ER -