English

The Integrable Bootstrap Program at Large N and its Applications in Gauge Theory

High Energy Physics - Lattice 2013-10-30 v2 Strongly Correlated Electrons High Energy Physics - Theory Exactly Solvable and Integrable Systems

Abstract

We present results for the large-NN limit of the (1+1)-dimensional principal chiral sigma model. This is an asymptotically-free N×NN\times N matrix-valued field with massive excitations. All the form factors and the exact correlation functions of the Noether-current operator and the energy-momentum tensor are found, from Smirnov's form-factor axioms. We consider (2+1)-dimensional SU()SU(\infty) Yang-Mills theory as an array of principal chiral models with a current-current interaction. We discuss how to use our new form factors to calculate physical quantities in this gauge theory.

Keywords

Cite

@article{arxiv.1310.6394,
  title  = {The Integrable Bootstrap Program at Large N and its Applications in Gauge Theory},
  author = {Axel Cortes Cubero},
  journal= {arXiv preprint arXiv:1310.6394},
  year   = {2013}
}

Comments

Presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany. Some references added in the updated version

R2 v1 2026-06-22T01:52:52.826Z