1995/02/15 by Luigi Accardi, Accardi, L., I. Ya. Aref’eva +3 · 1 citation
Mathematics · #Advanced Operator Algebra Research #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Random Matrices and Applications #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.hep-th/9502092
openalex publication_date 1995/02/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.