QCD\(_3\) and the replica method

DOI10.1016/S0550-3213(01)00066-9zbMath1097.81804arXivhep-th/0011072WikidataQ127933784 ScholiaQ127933784MaRDI QIDQ5935252

D. Dalmazi, Gernot Akemann, Jacobus J. M. Verbaarschot, Poul H. Damgaard

Publication date: 20 June 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0011072

zbMATH Keywords

mass dependent partition functionmicroscopic Dirac operator spectral densityzero momentum Goldstone fields

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05)

Related Items (16)

Random matrices with merging singularities and the Painlevé V equation ⋮ Character expansions for the orthogonal and symplectic groups ⋮ Factorization of correlation functions and the replica limit of the Toda lattice equation ⋮ The replica method and Toda lattice equations for \(\text{QCD}_3\) ⋮ Finite volume gauge theory partition functions in three dimensions ⋮ Toda lattice representation for random matrix model with logarithmic confinement ⋮ Webs in multiparton scattering using the replica trick ⋮ Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges ⋮ Almost-Hermitian random matrices and bandlimited point processes ⋮ General properties of multiparton webs: proofs from combinatorics ⋮ GUE-chGUE transition preserving chirality at finite matrix size ⋮ Random matrix approach to three-dimensional QCD with a Chern-Simons term ⋮ Finite-size scaling of meson propagators ⋮ Asymptotics for the partition function in two-cut random matrix models ⋮ Replica Limit of the Toda Lattice Equation ⋮ New critical matrix models and generalized universality

Cites Work

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• Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• The microscopic spectral density of the QCD Dirac operator
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• Supersymmetry in Disorder and Chaos
• Effective QCD Partition Function in Sectors with Non-Zero Topological Charge and Itzykson-Zuber Type Integral
• Random Matrix Theory and Three-Dimensional QCD
• The planar approximation. II
• On finite-volume gauge theory partition functions

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