Exploring the structure of the quenched QCD vacuum with overlap fermions

2007/04/30 by E.-M. Ilgenfritz, E. -M. Ilgenfritz, K. Koller +5 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.76.034506

published as Phys.Rev.D76:034506,2007 · 68 pages, 31 figures, file size: 1.7 MB (PDF)

arxiv created 2007/04/30 · openalex publication_date 2007/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Overlap fermions have an exact chiral symmetry on the lattice and are thus an appropriate tool for investigating the chiral and topological structure of the QCD vacuum. We study various chiral and topological aspects of quenched gauge field configurations. This includes the localization and chiral properties of the eigenmodes, the local structure of the ultraviolet-filtered field strength tensor, as well as the structure of topological charge fluctuations. We conclude that the vacuum has a multifractal structure.

Citations

• Instantons in QCD

Cited by

• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Topological structure ofSU(2)gluodynamics atT>0: An analysis using the Symanzik action and Neuberger overlap fermions
• Classical limits of scalar and tensor gauge operators based on the overlap Dirac matrix