Generalized Parton Distributions – theoretical review –

Müller, Dieter

doi:10.1016/j.nuclphysa.2005.03.151

Nuclear Physics A

2005

DOI: 10.1016/j.nuclphysa.2005.03.151

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Generalized Parton Distributions – theoretical review –

Dieter Müller

Abstract: In this talk an introduction to generalized parton distributions is given. Recent developments are shortly reviewed, including non-perturbative calculations, phenomenological aspects and evaluation of higher order perturbative and power corrections. In this talk an introduction to generalized parton distributions is given. Recent developments are shortly reviewed, including non-perturbative calculations, phenomenological aspects and evaluation of higher order perturbative and power corrections.

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Cited by 2 publications

References 89 publications

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Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes

Müller

Schäfer

2006

Nuclear Physics B

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We introduce a new representation of generalized parton distributions and generalized distribution amplitudes that is based on the partial wave decomposition with respect to the complex collinear conformal spin. This decomposition leads us to a versatile parameterization of these nonperturbative functions in terms of conformal moments, which are measurable for integer value on the lattice. This new representation has several advantages: basic properties and crossing relations are automatically implemented, a rather flexible parameterization is possible, the numerical treatment of evolution is simple and analytic approximation of scattering amplitudes can be given. We demonstrate this for simple examples. In particular, phenomenological considerations indicate that the t-dependence of Mellin moments is governed by Regge trajectories. The new representation is vital to push the analysis of deeply virtual Compton scattering to next-to-next-to-leading order.

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Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes

Müller

Schäfer

2006

Nuclear Physics B

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Conformal collider physics: energy and charge correlations

Hofman

Maldacena

2008

J. High Energy Phys.

637

1,322

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We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large distance from the collision.We consider initial states produced by an operator insertion and we study some general properties of the energy correlation functions for conformal field theories. We argue that the small angle singularities of energy correlation functions are controlled by the twist of non-local light-ray operators with a definite spin. We relate the charge two point function to a particular moment of the parton distribution functions appearing in deep inelastic scattering. The one point energy correlation functions are characterized by a few numbers.For N = 1 superconformal theories the one point function for states created by the Rcurrent or the stress tensor are determined by the two parameters a and c characterizing the conformal anomaly. Demanding that the measured energies are positive we get bounds on a/c. We also give a prescription for computing the energy and charge correlation functions in theories that have a gravity dual. The prescription amounts to probing the falling string state as it crosses the AdS horizon with gravitational shock waves. In the leading, two derivative, gravity approximation the energy is uniformly distributed on the sphere at infinity, with no fluctuations. We compute the stringy corrections and we show that they lead to small, non-gaussian, fluctuations in the energy distribution. Corrections to the one point functions or antenna patterns are related to higher derivative corrections in the bulk. Z µ Z −1 +Z 4 , µ = 0, 1, 2, 3. The metric induced on this surface, (2.3), by the R 2,4 metric is fixed up to an overallx-dependent factor. We can choose a metric by choosing a "gauge condition" such as 3 This type of coordinates has also been studied in [17]. 4 Note that Z −1 is the "minus one" component of the vector Z and it does not denote the inverse of Z. Hopefully, this notation will not cause confusion.

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Generalized Parton Distributions – theoretical review –

Cited by 2 publications

References 89 publications

Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes

Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes

Conformal collider physics: energy and charge correlations

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