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arXiv · hep-th/9510210

The Master Field for QCD and $q$-Deformed Quantum Field Theory

I. Ya. Aref'eva·I. V. Volovich
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Abstract

The master fields for the large $N$ limit of matrix models and gauge theory are constructed. The master fields satisfy to standard equations of relativistic field theory but fields are quantized according to a new rule. To define the master field we use the Yang-Feldman equation with a free field quantized 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. For the construction of the master field it is essential to work in Minkowski space-time and to use the Wightman correlation functions. The BRST quantization of the master field for gauge theory and a loop equation are considered.

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I. Ya. Aref'eva, I. V. Volovich. 1995-11-06. The Master Field for QCD and $q$-Deformed Quantum Field Theory. https://doi.org/10.1016/0550-3213(95)00677-x

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