The gradient flow of the Dirac spectrum

DOI10.1007/JHEP11(2014)113zbMath1333.81392arXiv1408.1498MaRDI QIDQ271355

Alexander S. Christensen, Jacobus J. M. Verbaarschot, Kim Splittorff

Publication date: 7 April 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1498

zbMATH Keywords

spontaneous symmetry breakinglattice quantum field theoryeffective field theories

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Nuclear physics (81V35) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• The lattice gradient flow at tree-level and its improvement
• Chiral symmetry and the Yang-Mills gradient flow
• Perturbative analysis of the gradient flow in non-Abelian gauge theories
• Infinite \(N\) phase transitions in continuum Wilson loop operators
• Space-time symmetries and the Yang-Mills gradient flow
• Factorization of correlation functions and the replica limit of the Toda lattice equation
• Trivializing maps, the Wilson flow and the HMC algorithm
• Universal spectral correlators and massive Dirac operators
• The microscopic spectral density of the QCD Dirac operator
• Random matrices and the replica method
• Properties and uses of the Wilson flow in lattice QCD
• Chiral Ward identities, automatic \(O(a)\) improvement and the gradient flow
• Lattice energy-momentum tensor from the Yang-Mills gradient flow--inclusion of fermion fields
• Replica Field Theories, Painlevé Transcendents, and Exact Correlation Functions
• Replica Limit of the Toda Lattice Equation
• Thekth smallest Dirac operator eigenvalue and the pion decay constant
• Eigenvalue distributions of the QCD Dirac operator
• Statistical properties of the spectrum of the QCD Dirac operator at low energy

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