Spectral density of the QCD Dirac operator near zero virtuality.

نویسندگان

  • Verbaarschot
  • Zahed
چکیده

We investigate the spectral properties of a random matrix model, which in the large N limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for an arbitrary number of flavors and zero topological charge. Their microscopic limit provide the master formulae for sum rules for the inverse powers of the eigenvalues of the QCD Dirac operator as recently discussed by Leutwyler and Smilga.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Spectrum of the Dirac Operator near Zero Virtuality for N C = 2

We study the spectrum of the QCD Dirac operator near zero virtuality for N c = 2. According to a universality argument, it can be described by a random matrix theory with the chiral structure of QCD, but with real matrix elements. Using results derived by Mehta and Mahoux and Nagao and Wadati, we are able to obtain an analytical result for the microscopic spectral density that in turn is the ge...

متن کامل

Chiral Random Matrix Theory and the Spectrum of the Dirac Operator Zero Virtuality

We study the spectrum of the QCD Dirac operator near zero virtuality. We argue that it can be described by a random matrix theory with the chiral structure of QCD. In the large N limit, this model reduces to the low energy limit of the QCD partition function put forward by Leutwyler and Smilga. We conjecture that the microscopic limit of its spectral density is universal and reproduces that of ...

متن کامل

Predictions of Chiral Random Matrix Theory and Lattice Qcd Results

Chiral random matrix theory makes very detailed predictions for the spectral correlations of the QCD Dirac operator, both in the bulk of the spectrum and near zero virtuality. These predictions have been successfully tested in lattice QCD simulations by several groups. Moreover, the domain of validity of random matrix theory has been predicted theoretically and identified in lattice data. In th...

متن کامل

ar X iv : n uc l - th / 9 80 10 61 v 1 2 8 Ja n 19 98 The Spectral Density of the Dirac Operator above T c Rep

The importance of the spectral density of the Dirac operator in studying spontaneous chiral symmetry breaking and anomalous U(1)A symmetry breaking are reviewed. It is shown that both types of symmetry breaking can be traced to effects of modes near zero virtuality. Above Tc, where chiral symmetry is restored, it is shown on general grounds that (in the mq → 0 limit), the density of states vani...

متن کامل

ar X iv : h ep - p h / 96 02 22 5 v 1 5 F eb 1 99 6 SUNY - NTG - 96 / 1 Universality near zero virtuality

In this paper we study a random matrix model with the chiral and flavor structure of the QCD Dirac operator and a temperature dependence given by the lowest Matsubara frequency. Using the supersymmetric method for random matrix theory, we obtain an exact, analytic expression for the average spectral density. In the large-n limit, the spectral density can be obtained from the solution to a cubic...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Physical review letters

دوره 70 25  شماره 

صفحات  -

تاریخ انتشار 1993