Large $N$ QCD and $q$-Deformed Quantum Field Theories

I. Ya. Aref'eva

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arXiv · hep-th/9608132

Large $N$ QCD and $q$-Deformed Quantum Field Theories

I. Ya. Aref'eva

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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 $q$-deformed commutation relations with $q=0$. 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.

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I. Ya. Aref'eva. 1996-08-21. Large $N$ QCD and $q$-Deformed Quantum Field Theories. https://arxiv.org/abs/hep-th/9608132

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