264 research outputs found
Exploring the nucleon structure through GPDs and TDAs in hard exclusive processes
Generalized Parton Distributions (GPDs) offer a new way to access the quark
and gluon nucleon structure. We review recent progress in this domain,
emphasizing the need to supplement the experimental study of deeply virtual
Compton scattering by its crossed version, timelike Compton scattering. We also
describe the extension of the GPD concept to three quark operators and the
relevance of their nucleon to meson matrix elements, namely the transition
distribution amplitudes (TDAs) which factorize in backward meson
electroproduction and related processes. We discuss the main properties of the
TDAs. \Comment: 8 pages; to be published in the proceedings of the conference "PHOTON
2011, International Conference on the Structure and the Interactions of the
Photon ", Spa, Belgium, 22-27 Mai 201
New results in exclusive hard reactions
Generalized Parton Distributions offer a new way to access the quark and
gluon nucleon structure. We review recent progress in this domain, emphasizing
the need to supplement the experimental study of DVCS by its crossed version,
timelike Compton scattering (TCS), where data at high energy should appear
thanks to the study of ultraperipheral collisions at the LHC. This will open
the access to very low skewness quark and gluon GPDs. Our leading order
estimates show that the factorization scale dependence of the amplitudes is
quite high. This fact demands the understanding of higher order contributions
with the hope that they will stabilize this scale dependence. The magnitudes of
the NLO coefficient functions are not small and neither is the difference of
the coefficient functions appearing respectively in the DVCS and TCS
amplitudes. The conclusion is that extracting the universal GPDs from both TCS
and DVCS reactions requires much care. We also describe the extension of the
GPD concept to three quark operators and the relevance of their nucleon to
meson matrix elements, namely the transition distribution amplitudes (TDAs)
which factorize in hard exclusive pion electroproduction off a nucleon in the
backward region and baryon-antibaryon annihilation into a pion and a lepton
pair. We discuss the main properties of the TDAs.Comment: 4 pages, to be published in the proceedings of the 2011 Europhysics
Conference on High Energy Physics-HEP 2011, July 21-27, 2011, Grenoble,
Rhone-Alpes, Franc
Classification of All Poisson-Lie Structures on an Infinite-Dimensional Jet Group
A local classification of all Poisson-Lie structures on an
infinite-dimensional group of formal power series is given. All
Lie bialgebra structures on the Lie algebra {\Cal G}_{\infty} of
are also classified.Comment: 11 pages, AmSTeX fil
Path Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group
The Feynman path integral is used to quantize the symplectic leaves of the
Poisson-Lie group SU(2)*. In this way we obtain the unitary representations of
U_q(su(2)). This is achieved by finding explicit Darboux coordinates and then
using a phase space path integral. I discuss the *-structure of SU(2)* and give
a detailed description of its leaves using various parametrizations and also
compare the results with the path integral quantization of spin.Comment: 24 pages, LaTeX, no figures, full postscript available from
http://phyweb.lbl.gov/theorygroup/papers/40890.p
Les Dermaptères du Tibet
La faune des Dermaptères du Tibet restait inconnue dans son
ensemble puisqu'il n'existait dans la littérature dermaptérologique
que des notes détachées sur peu d'espèces de ce groupe.Peer reviewe
Poisson structures on double Lie groups
Lie bialgebra structures are reviewed and investigated in terms of the double
Lie algebra, of Manin- and Gau{\ss}-decompositions. The standard R-matrix in a
Manin decomposition then gives rise to several Poisson structures on the
correponding double group, which is investigated in great detail.Comment: AmSTeX, 37 page
A consistent model for \pi N transition distribution amplitudes and backward pion electroproduction
The extension of the concept of generalized parton distributions leads to the
introduction of baryon to meson transition distribution amplitudes (TDAs),
non-diagonal matrix elements of the nonlocal three quark operator between a
nucleon and a meson state. We present a general framework for modelling nucleon
to pion () TDAs. Our main tool is the spectral representation for \pi N
TDAs in terms of quadruple distributions. We propose a factorized Ansatz for
quadruple distributions with input from the soft-pion theorem for \pi N TDAs.
The spectral representation is complemented with a D-term like contribution
from the nucleon exchange in the cross channel. We then study backward pion
electroproduction in the QCD collinear factorization approach in which the
non-perturbative part of the amplitude involves \pi N TDAs. Within our two
component model for \pi N TDAs we update previous leading-twist estimates of
the unpolarized cross section. Finally, we compute the transverse target single
spin asymmetry as a function of skewness. We find it to be sizable in the
valence region and sensitive to the phenomenological input of our \pi N TDA
model.Comment: 39 pages, 9 figure
Coadjoint Orbits of the Generalised Sl(2) Sl(3) Kdv Hierarchies
In this paper we develop two coadjoint orbit constructions for the phase
spaces of the generalised and KdV hierachies. This involves the
construction of two group actions in terms of Yang Baxter operators, and an
Hamiltonian reduction of the coadjoint orbits. The Poisson brackets are
reproduced by the Kirillov construction. From this construction we obtain a
`natural' gauge fixing proceedure for the generalised hierarchies.Comment: 37 page
Dual Isomonodromic Deformations and Moment Maps to Loop Algebras
The Hamiltonian structure of the monodromy preserving deformation equations
of Jimbo {\it et al } is explained in terms of parameter dependent pairs of
moment maps from a symplectic vector space to the dual spaces of two different
loop algebras. The nonautonomous Hamiltonian systems generating the
deformations are obtained by pulling back spectral invariants on Poisson
subspaces consisting of elements that are rational in the loop parameter and
identifying the deformation parameters with those determining the moment maps.
This construction is shown to lead to ``dual'' pairs of matrix differential
operators whose monodromy is preserved under the same family of deformations.
As illustrative examples, involving discrete and continuous reductions, a
higher rank generalization of the Hamiltonian equations governing the
correlation functions for an impenetrable Bose gas is obtained, as well as dual
pairs of isomonodromy representations for the equations of the Painleve
transcendents and .Comment: preprint CRM-1844 (1993), 28 pgs. (Corrected date and abstract.
A New Approach to Integrable Theories in any Dimension
The zero curvature representation for two dimensional integrable models is
generalized to spacetimes of dimension d+1 by the introduction of a d-form
connection. The new generalized zero curvature conditions can be used to
represent the equations of motion of some relativistic invariant field theories
of physical interest in 2+1 dimensions (BF theories, Chern-Simons, 2+1 gravity
and the CP^1 model) and 3+1 dimensions (self-dual Yang-Mills theory and the
Bogomolny equations). Our approach leads to new methods of constructing
conserved currents and solutions. In a submodel of the 2+1 dimensional CP^1
model, we explicitly construct an infinite number of previously unknown
nontrivial conserved currents. For each positive integer spin representation of
sl(2) we construct 2j+1 conserved currents leading to 2j+1 Lorentz scalar
charges.Comment: 52 pages, 4 figures, shortened version to appear in NP
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