201 research outputs found
Large Matrix Models and -Deformed Quantum Field Theories
Recently it was shown that an asymptotic behaviour of gauge theory
for large is described by q-deformed quantum field. The master fields for
large N theories satisfy to standard equations of relativistic field theory but
fields satisfy -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. The gauge master field for a subclass of
planar diagrams, so called half-planar diagrams, is also considered. A
recursive set of master fields summing up a matreoshka of 2-particles reducible
planar diagrams is briefly described.Comment: 17 pages, latex. To appear in "From Field Theory to Quantum Groups",
World Scientific. Proceedings to honor J.Lukierski in his 60th birthda
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