124,617 research outputs found
The QCD vacuum as a disordered medium: A simplified model for the QCD Dirac operator
We model the QCD Dirac operator as a power-law random banded matrix (RBM)
with the appropriate chiral symmetry. Our motivation is the form of the Dirac
operator in a basis of instantonic zero modes with a corresponding gauge
background of instantons. We compare the spectral correlations of this model to
those of an instanton liquid model (ILM) and find agreement well beyond the
Thouless energy. In the bulk of the spectrum the (dimensionless) Thouless
energy of the RBM scales with the square root of system size in agreement with
the ILM and chiral perturbation theory. Near the origin the scaling of the
(dimensionless) Thouless energy in the RBM remains the same as in the bulk
which agrees with chiral perturbation theory but not with the ILM. Finally we
discuss how this RBM should be modified in order to describe the spectral
correlations of the QCD Dirac operator at the finite temperature chiral
restoration transition.Comment: 4 pages, 3 figure
Reduction of Almost Poisson brackets and Hamiltonization of the Chaplygin Sphere
We construct different almost Poisson brackets for nonholonomic systems than
those existing in the literature and study their reduction. Such brackets are
built by considering non-canonical two-forms on the cotangent bundle of
configuration space and then carrying out a projection onto the constraint
space that encodes the Lagrange-D'Alembert principle. We justify the need for
this type of brackets by working out the reduction of the celebrated Chaplygin
sphere rolling problem. Our construction provides a geometric explanation of
the Hamiltonization of the problem given by A. V. Borisov and I. S. Mamaev
Neutrino Masses and Mixing: Where We Stand and Where We are Going
In this talk I review our present knowledge on neutrino masses and mixing as
well as the expectations from near future experiments.Comment: 19 Pages, 11 figures. Review talk given at the 10th International
Conference on Supersymmetry and Unification of Fundamental Interactions,
SUSY02 (June 17-23, 2002, DESY, Hamburg
[Review of] John E. Farley. Majority-Minority Relations
John E. Farley, who is on the faculty of Southern Illinois University (Edwardsville), says that he has written this book because he is concerned about the deteriorating status of minorities and intergroup relations in the United States. His main objective is to increase awareness of these issues among college students in race relations classes by not only describing but also analyzing and attempting to explain the problems which our society faces
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