Non--Commutative (Quantum) Probability, Master Fields and Stochastic Bosonization

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dc.creatorAccardi, L.
dc.creatorLu, Y. G.
dc.creatorVolovich, I.
dc.date1994-12-31
dc.date.accessioned2026-07-07T09:14:29Z
dc.date.available2026-07-07T09:14:29Z
dc.descriptionIn this report we discuss some results of non--commutative (quantum) probability theory relating the various notions of statistical independence and the associated quantum central limit theorems to different aspects of mathematics and physics including: $q$--deformed and free central limit theorems; the description of the master (i.e. central limit) field in matrix models along the recent Singer suggestion to relate it to Voiculescu's results on the freeness of the large $N$ limit of random matrices; quantum stochastic differential equations for the gauge master field in QCD; the theory of stochastic limits of quantum fields and its applications to stochastic bosonization of Fermi fields in any dimensions; new structures in QED such as a nonlinear modification of the Wigner semicircle law and the interacting Fock space: a natural explicit example of a self--interacting quantum field which exhibits the non crossing diagrams of the Wigner semicircle law.
dc.description38 pages, Tex
dc.identifierhttps://arxiv.org/abs/hep-th/9412241
dc.identifierhttp://arxiv.org/abs/hep-th/9412241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152688
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleNon--Commutative (Quantum) Probability, Master Fields and Stochastic Bosonization
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