Large N two-dimensional Yang–Mills fields for the spectral behavior of Brownian particles and relativistic many-body systems
DOI10.1142/s0129055x23500137zbMath1522.81230MaRDI QIDQ6078040
Publication date: 27 September 2023
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
spectral projectioncritical phenomenainteracting many-body systemsDirac monopolesPainlevé dynamicstwo-dimensional Yang-Mills field
Random matrices (probabilistic aspects) (60B20) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Yang-Mills and other gauge theories in quantum field theory (81T13) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Spectral theory; eigenvalue problems on manifolds (58C40)
Cites Work
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- Maximum of the characteristic polynomial of random unitary matrices
- Random matrices and holographic tensor models
- Some properties of large-\(N\) two-dimensional Yang-Mills theory.
- Classical solutions for two-dimensional QCD on the sphere
- Painlevé II in random matrix theory and related fields
- Scalar curvature and \(Q\)-curvature of random metrics
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