Large $N$ QCD and $q$-Deformed Quantum Field Theories
High Energy Physics - Theory
2007-05-23 v1
Abstract
A construction of master field describing multicolour QCD is presented. The master fields for large N matrix theories satisfy to standard equations of relativistic field theory but fields are quantized according -deformed commutation relations with . These commutation relations are realized in the Boltzmannian Fock space. The master field for gauge theory does not take values in a finite-dimensional Lie algebra, however, there is a non-Abelian gauge symmetry and BRST-invariance.
Keywords
Cite
@article{arxiv.hep-th/9608132,
title = {Large $N$ QCD and $q$-Deformed Quantum Field Theories},
author = {I. Ya. Aref'eva},
journal= {arXiv preprint arXiv:hep-th/9608132},
year = {2007}
}
Comments
4 pages, latex.Invited talk at the Second International Sakharov Conference on Physics, Moscow, May 1996