1999/03/17 by P. H. Damgaard, P.H. Damgaard · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dirac (video compression format) #Dirac operator #Field (mathematics) #Finite volume method #Gauge (firearms) #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Spectrum (functional analysis) #Topological index #Topological quantum number #Topology (electrical circuits) #Winding number #hep-lat #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00374-0
published as Nucl.Phys. B556 (1999) 327-349 · LaTeX, 21 pages. One reference added
arxiv created 1999/03/17 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The interplay between between gauge-field winding numbers, theta-vacua, and the Dirac operator spectrum in finite-volume gauge theories is reconsidered. To assess the weight of each topological sector, we compare the mass-dependent chiral condensate in gauge field sectors of fixed topological index with the answer obtained by summing over the topological charge. Also the microscopic Dirac operator spectrum in the full finite-volume Yang-Mills theory is obtained in this way, by summing over all topological sectors with the appropriate weight.