22,197 research outputs found
Pion's valence-quark GPD and its extension beyond DGLAP region
We briefly report on a recent computation, with the help of a fruitful
algebraic model, sketching the pion valence dressed-quark generalized parton
distribution and, very preliminary, discuss on a possible avenue to get
reliable results in both Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) and
Efremov-Radyushkin-Brodsky-Lepage (ERBL) kinematial regions.Comment: 6 pages, 4 figures, contribution to 21st International conference on
Few-Body Problem
Composite fermion model for entanglement spectrum of fractional quantum Hall states
We show that the entanglement spectrum associated with a certain class of
strongly correlated many-body states --- the wave functions proposed by
Laughlin and Jain to describe the fractional quantum Hall effect --- can be
very well described in terms of a simple model of non-interacting (or weakly
interacting) composite fermions.Comment: 6 pages, 2 figure
The H=xp model revisited and the Riemann zeros
Berry and Keating conjectured that the classical Hamiltonian H = xp is
related to the Riemann zeros. A regularization of this model yields
semiclassical energies that behave, in average, as the non trivial zeros of the
Riemann zeta function. However, the classical trajectories are not closed,
rendering the model incomplete. In this paper, we show that the Hamiltonian H =
x (p + l_p^2/p) contains closed periodic orbits, and that its spectrum
coincides with the average Riemann zeros. This result is generalized to
Dirichlet L-functions using different self-adjoint extensions of H. We discuss
the relation of our work to Polya's fake zeta function and suggest an
experimental realization in terms of the Landau model.Comment: 5 pages, 3 figure
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