Summing Planar Diagrams by an Integrable Bootstrap
High Energy Physics - Theory
2013-05-29 v3 Statistical Mechanics
High Energy Physics - Lattice
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1108.0058,
title = {Summing Planar Diagrams by an Integrable Bootstrap},
author = {Peter Orland},
journal= {arXiv preprint arXiv:1108.0058},
year = {2013}
}
Comments
10 pages, revtex. Fixing of further misprints. Version to appear in Phys. Rev. D