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arXiv · hep-th/9502092

The Master Field for Rainbow Diagrams and Free Non-Commutative Random Variables

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

The master field for a subclass of planar diagrams, so called rainbow diagrams, for higher dimensional large N theories is considered. An explicit representation for the master field in terms of noncommutative random variables in the modified interaction representation in the Boltzmannian Fock space is given. A natural interaction in the Boltzmannian Fock space is formulated by means of a rational function of the interaction Lagrangian instead of the ordinary exponential function in the standard Fock space.

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L. Accardi, I. Ya. Aref'eva, I. V. Volovich. 1995-02-17. The Master Field for Rainbow Diagrams and Free Non-Commutative Random Variables. https://arxiv.org/abs/hep-th/9502092

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