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The Master Field for QCD and $q$-Deformed Quantum Field Theory | | I.Ya.Aref’eva
; I.V.Volovich
; | | Date: |
29 Oct 1995 | | Journal: | Nucl.Phys. B462 (1996) 600-612 | | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th hep-ph math.QA q-alg | | 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. | | Source: | arXiv, hep-th/9510210 | | Services: | Forum | Review | PDF | Favorites | |
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