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

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

1995-02-15

arxiv.org/abs/hep-th/9502092v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, 5 figures (one correction and one new reference)

Scientific paper

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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