COLLECTIVE POTENTIAL FOR LARGE-N HAMILTONIAN MATRIX MODELS AND FREE FISHER INFORMATION

DOI10.1142/S0217751X03012230zbMath1047.81076arXivhep-th/0207200OpenAlexW3101098462MaRDI QIDQ4803840

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Publication date: 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0207200

zbMATH Keywords

Fisher informationnoncommutative probability

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Measures of information, entropy (94A17)

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YANGIAN SYMMETRIES OF MATRIX MODELS AND SPIN CHAINS: THE DILATATION OPERATOR OF ${\mathcal N} = 4$ SYM ⋮ 2 + 1 ABELIAN "GAUGE THEORY" INSPIRED BY IDEAL HYDRODYNAMICS

Cites Work

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• The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
• Loop space Hamiltonians and field theory of non-critical strings
• The analogues of entropy and of Fisher's information measure in free probability theory. II
• Planar diagrams
• ENTROPY OF OPERATOR-VALUED RANDOM VARIABLES: A VARIATIONAL PRINCIPLE FOR LARGE N MATRIX MODELS
• A COHOMOLOGICAL INTERPRETATION OF THE MIGDAL–MAKEENKO EQUATIONS
• Large \(N\) gauge theory---expansions and transitions

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