2,435 research outputs found
Complex Monge-Amp\`ere equations on quasi-projective varieties
We introduce generalized Monge-Amp\`ere capacities and use these to study
complex Monge-Amp\`ere equations whose right-hand side is smooth outside a
divisor. We prove, in many cases, that there exists a unique normalized
solution which is smooth outside the divisor
Finite Pluricomplex Energy Measures
We investigate probability measures with finite pluricomplex energy. We give
criteria insuring that a given measure has finite energy and test these on
various examples. We show that this notion is a biholomorphic but not a
bimeromorphic invariant
Entropy for Monge-Ampère measures in the prescribed singularities setting
In this note, we generalize the notion of entropy for potentials in a relative
full Monge–Amp`ere mass E(X,θ,φ), for a model potential φ. We then investigate stability
properties of this condition with respect to blow-ups and perturbation of the cohomology
class. We also prove a Moser–Trudinger type inequality with general weight and we show
n
that functions with finite entropy lie in a relative energy class E n−1 (X, θ, φ) (provided n > 1),
while they have the same singularities of φ when n = 1
The LHCspin project
The LHCspin project aims to bring both unpolarized and polarized physics at the LHC through the installation of a gaseous fixed target at the upstream end of the LHCb detector. The forward geometry of the LHCb spectrometer (2 < η < 5) is perfectly suited for the reconstruction of particles produced in fixed-target collisions. The fixed-target configuration, with center-of-mass energies ranging from √sNN = 72 GeV in collisions with Pb beams to √s = 115 GeV in pp interactions, allows to cover a wide backward center-of-mass rapidity region, corresponding to the poorly explored high x-Bjorken and high x-Feynman regimes. The project has several ambitious goals regarding heavy-ion physics and new-era quantitative searches in QCD through the study of the nucleon's internal dynamics in terms of both quarks and gluons degrees of freedom. In particular, the use of transversely polarized H and D targets will allow to study the quarks TMDs in pp collisions at unique kinematic conditions. Furthermore, being LHCb specifically designed for heavy-flavor physics, final states with c- or b-quarks (e.g. inclusive quarkonia production) will be efficiently reconstructed, thus providing, among other fundamental measurememnts, access to the so-far unknown gluons TMDs. The status of the project is presented along with a selection of physics opportunities
High Pt hadron-hadron correlations
We propose the formulation of a dihadron fragmentation function in terms of
parton matrix elements. Under the collinear factorization approximation and
facilitated by the cut-vertex technique, the two hadron inclusive cross section
at leading order (LO) in e+ e- annihilation is shown to factorize into a short
distance parton cross section and the long distance dihadron fragmentation
function. We also derive the DGLAP evolution equation of this function at
leading log. The evolution equation for the non-singlet and singlet quark
fragmentation function and the gluon fragmentation function are solved
numerically with the initial condition taken from event generators.
Modifications to the dihadron fragmentation function from higher twist
corrections in DIS off nuclei are computed. Results are presented for cases of
physical interest.Comment: 7 pages, 8 figures, Latex, Proceedings of Hot Quarks 2004, July
18-24, Taos, New Mexic
H^s versus C^0-weighted minimizers
We study a class of semi-linear problems involving the fractional Laplacian
under subcritical or critical growth assumptions. We prove that, for the
corresponding functional, local minimizers with respect to a C^0-topology
weighted with a suitable power of the distance from the boundary are actually
local minimizers in the natural H^s-topology.Comment: 15 page
Nuclear Attenuation of high energy two-hadron system in the string model
Nuclear attenuation of the two-hadron system is considered in the string
model. The two-scale model and its improved version with two different choices
of constituent formation time and sets of parameters obtained earlier for the
single hadron attenuation, are used to describe available experimental data for
the -dependence of subleading hadron, whereas satisfactory agreement with
the experimental data has been observed. A model prediction for
-dependence of the nuclear attenuation of the two-hadron system is also
presented.Comment: 8 page
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