9,497 research outputs found
Density profiles in the raise and peel model with and without a wall. Physics and combinatorics
We consider the raise and peel model of a one-dimensional fluctuating
interface in the presence of an attractive wall. The model can also describe a
pair annihilation process in a disordered unquenched media with a source at one
end of the system. For the stationary states, several density profiles are
studied using Monte Carlo simulations. We point out a deep connection between
some profiles seen in the presence of the wall and in its absence. Our results
are discussed in the context of conformal invariance ( theory). We
discover some unexpected values for the critical exponents, which were obtained
using combinatorial methods.
We have solved known (Pascal's hexagon) and new (split-hexagon) bilinear
recurrence relations. The solutions of these equations are interesting on their
own since they give information on certain classes of alternating sign
matrices.Comment: 39 pages, 28 figure
Stochastic processes with Z_N symmetry and complex Virasoro representations. The partition functions
In a previous Letter (J. Phys. A v.47 (2014) 212003) we have presented
numerical evidence that a Hamiltonian expressed in terms of the generators of
the periodic Temperley-Lieb algebra has, in the finite-size scaling limit, a
spectrum given by representations of the Virasoro algebra with complex highest
weights. This Hamiltonian defines a stochastic process with a Z_N symmetry. We
give here analytical expressions for the partition functions for this system
which confirm the numerics. For N even, the Hamiltonian has a symmetry which
makes the spectrum doubly degenerate leading to two independent stochastic
processes. The existence of a complex spectrum leads to an oscillating approach
to the stationary state. This phenomenon is illustrated by an example.Comment: 8 pages, 4 figures, in a revised version few misprints corrected, one
relevant reference adde
q_T Uncertainties for W and Z Production
Analysis of semi-inclusive DIS hadroproduction suggests broadening of
transverse momentum distributions at small x below 1E-3 ~ 1E-2 which can be
modeled in the Collins-Soper-Sterman formalism by a modification of impact
parameter dependent parton densities. We investigate these consequences for the
production of electroweak bosons at the Tevatron and the LHC. If substantial
small-x broadening is observed in forward Z boson production in the Tevatron
Run-2, it will strongly affect the predicted q_T distributions for W and Z
boson production at the LHC.Comment: 4 pages, 2 figures; contribution to the XIII International Workshop
on Deep Inelastic Scattering (DIS 2005
On the Ado Theorem for finite Lie conformal algebras with Levi decomposition
We prove that a finite torsion-free conformal Lie algebra with a splitting
solvable radical has a finite faithful conformal representation.Comment: 11 page
Kondo behavior in the asymmetric Anderson model: Analytic approach
The low-temperature behavior of the asymmetric single-impurity
Anderson model is studied by diagrammatic methods resulting in analytically
controllable approximations. We first discuss the ways one can simplify parquet
equations in critical regions of singularities in the two-particle vertex. The
scale vanishing at the critical point defines the Kondo temperature at which
the electron-hole correlation function saturates. We show that the Kondo
temperature exists at any filling of the impurity level. A quasiparticle
resonance peak in the spectral function, however, forms only in almost
electron-hole symmetric situations. We relate the Kondo temperature with the
width of the resonance peak. Finally we discuss the existence of satellite
Hubbard bands in the spectral function.Comment: REVTeX4, 11 pages, 5 EPS figure
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