Eigenvalue dynamics and the matrix chain

DOI10.1016/S0550-3213(99)00250-3zbMath0944.82008arXivhep-th/9902089OpenAlexW2064753235MaRDI QIDQ1572205

Lori D. Paniak

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9902089

zbMATH Keywords

boundary-value problemcritical behaviourmatrix eigenvaluesDas-Jevicki-Sakita HamiltonianHilbert-Schmidt-type kernellinear Fredholm equation

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) General mathematical topics and methods in quantum theory (81Q99)

Related Items (2)

Photon interactions with superconducting topological defects ⋮ Non-commutative Ward's conjecture and integrable systems

Cites Work

• String theory on the one-dimensional lattice
• Kosterlitz-Thouless phase transitions on discretized random surfaces
• The two-dimensional \(O(2)\) model on a random planar lattice at strong coupling
• Matrix string theory
• Some properties of large-\(N\) two-dimensional Yang-Mills theory.
• Planar diagrams
• On the large-\(N\) limit of the Itzykson-Zuber integral.
• Correlation functions in the Itzykson-Zuber model
• The planar approximation. II
• Vortex-antivortex sector of one-dimensional string theory via the upside-down matrix oscillator
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