ENTROPY OF OPERATOR-VALUED RANDOM VARIABLES: A VARIATIONAL PRINCIPLE FOR LARGE N MATRIX MODELS

DOI10.1142/S0217751X02010790zbMath1044.81102arXivhep-th/0111263MaRDI QIDQ4551858

Govind S. Krishnaswami, Levent Akant, Sarada G. Rajeev

Publication date: 28 October 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0111263

zbMATH Keywords

entropymatrix modellarge N limit

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (4)

COLLECTIVE POTENTIAL FOR LARGE-N HAMILTONIAN MATRIX MODELS AND FREE FISHER INFORMATION ⋮ Phase transition in matrix model with logarithmic action: toy-model for gluons in baryons ⋮ 2 + 1 ABELIAN "GAUGE THEORY" INSPIRED BY IDEAL HYDRODYNAMICS ⋮ Schwinger–Dyson operators as invariant vector fields on a matrix model analog of the group of loops

Cites Work

• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
• A method of integration over matrix variables
• Geometric quantization and two dimensional QCD
• The analogues of entropy and of Fisher's information measure in free probability theory. II
• A large-\(N\) reduced model as superstring
• Planar diagrams
• Universality of the correlations between eigenvalues of large random matrices.
• QUANTUM HADRODYNAMICS IN TWO DIMENSIONS
• Current algebra in three dimensions

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