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High Energy Physics - Theory

arXiv:1108.0058 (hep-th)
[Submitted on 30 Jul 2011 (v1), last revised 28 Sep 2011 (this version, v3)]

Title:Summing Planar Diagrams by an Integrable Bootstrap

Authors:Peter Orland (Baruch + Grad Center, CUNY, NBIA)
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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.
Comments: 10 pages, revtex. Fixing of further misprints. Version to appear in Phys. Rev. D
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Lattice (hep-lat); Mathematical Physics (math-ph)
Cite as: arXiv:1108.0058 [hep-th]
  (or arXiv:1108.0058v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1108.0058
Related DOI: https://doi.org/10.1103/PhysRevD.84.105005

Submission history

From: Peter Orland [view email]
[v1] Sat, 30 Jul 2011 11:10:58 UTC (16 KB)
[v2] Mon, 15 Aug 2011 11:40:07 UTC (16 KB)
[v3] Wed, 28 Sep 2011 17:38:46 UTC (17 KB)
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