Effective Low Energy Theories and QCD Dirac Spectra

Details Effective Low Energy Theories and QCD Dirac Spectra Effective Low Energy Theories and QCD Dirac Spectra

2000-01-18

arxiv.org/abs/hep-th/0001110v1

Int.J.Mod.Phys.B15:1404-1415,2001

Physics

High Energy Physics

High Energy Physics - Theory

Invited talk at the 10th International Conference on Recent Progress in Many-Body Theories (MBX), Seattle, September 1999, 13

Scientific paper

10.1142/S0217979201005908

We analyze the smallest Dirac eigenvalues by formulating an effective theory for the QCD 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 at nonzero chemical potential (with eigenvalues scattered in the complex plane) in terms of an effective low energy theory.

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