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Recently it was shown that an asymptotic behaviour of $SU(N)$ gauge theoryfor large $N$ is described by q-deformed quantum field. The master fields forlarge N theories satisfy to standard equations of relativistic field theory butfields satisfy $q$-deformed commutation relations with $q=0$. These commutationrelations are realized in the Boltzmannian Fock space. The master field forgauge theory does not take values in a finite-dimensional Lie algebra howeverthere is a non-Abelian gauge symmetry. The gauge master field for a subclass ofplanar diagrams, so called half-planar diagrams, is also considered. Arecursive set of master fields summing up a matreoshka of 2-particles reducibleplanar 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

LARGE N MATRIX MODELS AND Q-DEFORMED QUANTUM FIELD THEORIES