Topology and the Dirac Operator Spectrum in Finite-Volume Gauge Theories

Details Topology and the Dirac Operator Spectrum in Finite-Volume Gauge Theories Topology and the Dirac Operator Spectrum in Finite-Volume Gauge Theories

1999-03-11

arxiv.org/abs/hep-th/9903096v3

Nucl.Phys. B556 (1999) 327-349

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 21 pages. One reference added

Scientific paper

10.1016/S0550-3213(99)00374-0

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.

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