Free energy of the two-dimensional \(U(n)\)-gauge field theory on the sphere

DOI10.1007/BF02575490zbMath0991.81068OpenAlexW2044878111MaRDI QIDQ1567760

Mariya Shcherbina, Anne Boutet de Monvel-Berthier

Publication date: 26 June 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575490

zbMATH Keywords

partition functionrandom matricestwo-dimensional \(U(n)\)-gauge field

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Large N behaviour of the two-dimensional Yang–Mills partition function ⋮ Large \(N\) limit of Yang-Mills partition function and Wilson loops on compact surfaces ⋮ Yang-Mills measure and the master field on the sphere ⋮ The large-\(N\) limit for two-dimensional Yang-Mills theory

Cites Work

• Unnamed Item
• Quantum field theory techniques in graphical enumeration
• Large \(N\) phase transition in the heat kernel on the \(\text{U}(N)\) group
• On the statistical mechanics approach in the random matrix theory: Integrated density of states.
• Planar diagrams

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