Random matrix theory and spectral sum rules for the Dirac operator in QCD

Details Random matrix theory and spectral sum rules for the Dirac operator in QCD Random matrix theory and spectral sum rules for the Dirac operator in QCD

1992-12-14

arxiv.org/abs/hep-th/9212088v1

Nucl.Phys.A560:306-320,1993

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, SUNY-NTG-92/45

Scientific paper

10.1016/0375-9474(93)90098-I

We construct a random matrix model that, in the large $N$ limit, reduces to the low energy limit of the QCD partition function put forward by Leutwyler and Smilga. This equivalence holds for an arbitrary number of flavors and any value of the QCD vacuum angle. In this model, moments of the inverse squares of the eigenvalues of the Dirac operator obey sum rules, which we conjecture to be universal. In other words, the validity of the sum rules depends only on the symmetries of the theory but not on its details. To illustrate this point we show that the sum rules hold for an interacting liquid of instantons. The physical interpretation is that the way the thermodynamic limit of the spectral density near zero is approached is universal. However, its value, $i.e.$ the chiral condensate, is not.

Affiliated with

Also associated with

No associations

Rating

Random matrix theory and spectral sum rules for the Dirac operator in QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Random matrix theory and spectral sum rules for the Dirac operator in QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random matrix theory and spectral sum rules for the Dirac operator in QCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15406