Random matrix theory, chiral perturbation theory, and lattice data
نویسندگان
چکیده
منابع مشابه
Lattice QCD , Chiral Perturbation Theory
These are the proceedings of the workshop on “Lattice QCD, Chiral Perturbation Theory and Hadron Phenomenology” held at the European Centre for Theoretical Studies in Nuclear Physics and Related Areas from October 2 to 6, 2006. The workshop concentrated on bringing together researchers working in lattice QCD and chiral perturbation theory with the aim of improving our understanding how hadron p...
متن کاملPredictions 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 کاملChiral Perturbation Theory and Weak Matrix Elements
I describe recent developments in quenched chiral perturbation theory (QChPT) and the status of weak matrix elements involving light quarks. I illustrate how, with improved statistical errors, and with calculations of the masses of baryons containing non-degenerate quarks, there is now a clear need for extrapolations of higher order than linear in the quark mass. I describe how QChPT makes pred...
متن کاملChiral Random Matrix Theory and Qcd
As was shown by Leutwyler and Smilga, the fact that chiral symmetry is broken and the existence of a effective finite volume partition function leads to an infinite number of sum rules for the eigenvalues of the Dirac operator in QCD. In this paper we argue these constraints, together with universality arguments from quantum chaos and universal conductance fluctuations, completely determine its...
متن کاملEffective Lagrangians and chiral random matrix theory.
Recently, sum rules were derived for the inverse eigenvalues of the Dirac operator. They were obtained in two different ways: i) starting from the low-energy effective Lagrangian and ii) starting from a random matrix theory with the symmetries of the Dirac operator. This suggests that the effective theory can be obtained directly from the random matrix theory. Previously, this was shown for thr...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1999
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(99)01167-3