Exact solution for mean energy of 2d Dyson gas at \(\beta = 1\)

DOI10.1016/j.physleta.2011.01.004zbMath1242.82019arXiv0912.5520OpenAlexW1545137160MaRDI QIDQ432852

J. Herrera, H. S. Yoon

Publication date: 4 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5520

Mathematics Subject Classification ID

Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Statistical thermodynamics (82B30)

Related Items

Exact energy computation of the one component plasma on a sphere for even values of the coupling parameter, Representation of the Coulomb matrix elements by means of Appell hypergeometric function \(F_2\), A direct proof of AGT conjecture at {\(\beta\)} = 1, Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature, Analogue of the identity Log Det = Trace Log for resultants, Method of generating q-expansion coefficients for conformal block and \({\mathcal N}=2\) Nekrasov function by \(\beta \)-deformed matrix model, Closed form analytical formulas for ground state energies in quantum Hall effect regime, Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials, Proving the AGT relation for \(N_{f} = 0, 1, 2\) antifundamentals, Local laws and rigidity for Coulomb gases at any temperature, The matrix model version of AGT conjecture and CIV-DV prepotential, Exact and asymptotic features of the edge density profile for the one component plasma in two dimensions

Cites Work

• Unnamed Item
• A direct proof of AGT conjecture at {\(\beta\)} = 1
• Duality in random matrix ensembles for all \(\beta \)
• Replica Field Theories, Painlevé Transcendents, and Exact Correlation Functions
• Replica Limit of the Toda Lattice Equation
• Integrability and matrix models
• Random matrices and Laplacian growth
• Composite Fermions
• Large-Nexpansion for the 2D Dyson gas