EFFECTIVE LOW-ENERGY THEORIES AND QCD DIRAC SPECTRA

2000/01/18 by D. Toublan, J. J. M. Verbaarschot · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #cond-mat #hep-lat #hep-th

paper · pdf · doi:10.1142/s0217979201005908

published as Int.J.Mod.Phys.B15:1404-1415,2001 · Invited talk at the 10th International Conference on Recent Progress in Many-Body Theories (MBX), Seattle, September 1999, 13 pages, Latex, with 1 figure, uses ws-p9-75x6-50.cls

arxiv created 2000/01/18 · openalex publication_date 2001/05/10 · arxiv updated 2011/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the smallest Dirac eigenvalues by formulating an effective theory for the Dirac spectrum. We find that in a domain where the kinetic term of the effective theory can be ignored, the Dirac eigenvalues are distributed according to a Random Matrix Theory with the global symmetries of the QCD partition function. The kinetic term provides information on the slope of the average spectral density of the Dirac operator. In the second half of this lecture we interpret quenched QCD Dirac spectra (with eigenvalues scattered in the complex plane) in terms of an effective low energy theory.

Citations

• Random Matrix Theories in Quantum Physics: Common Concepts

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