Scale dependence of QCD string operators

Kivel, N.; Mankiewicz, L.

doi:10.1016/s0370-2693(99)00635-8

Cited by 17 publications

(27 citation statements)

References 28 publications

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“…To carry out this evolution in practical terms, we use the method given in [92][93][94][95], where the basic objects are the moments in the Gegenbauer polynomials of index n g n ðÞ ¼ Z 1 0 dXE ;S T ðX; ; t; ÞG 3=2 n ðX=Þ:…”

Section: A Evolution Of Tgpdmentioning

confidence: 99%

Generalized quark transversity distribution of the pion in chiral quark models

2011

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The transversity generalized parton distributions (tGPDs) of the pion, involving matrix elements of the tensor bilocal quark current, are analyzed in chiral quark models. We apply the nonlocal chiral models involving a momentum-dependent quark mass, as well as the local Nambu-Jona-Lasinio with the Pauli-Villars regularization to calculate the pion tGPDs, as well as related quantities following from restrained kinematics, evaluation of moments, or taking the Fourier-Bessel transforms to the impact-parameter space. The obtained distributions satisfy the formal requirements, such as proper support and polynomiality, following from Lorentz covariance. We carry out the leading-order QCD evolution from the low quark-model scale to higher lattice scales, applying the method of Kivel and Mankiewicz. We evaluate several lowest-order generalized transversity form factors, accessible from the recent lattice QCD calculations. These form factors, after evolution, agree properly with the lattice data, in support of the fact that the spontaneously broken chiral symmetry is the key element also in the evaluation of the transversity observables.

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Section: A Evolution Of Tgpdmentioning

confidence: 99%

Generalized quark transversity distribution of the pion in chiral quark models

2011

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“…Our starting point is the work of Kivel and Mankiewicz [19,20], which elaborates the formalism of Balitsky and Braun [21] on the QCD string operators in the coordinate space. We use Eqs.…”

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confidence: 99%

Note on the QCD evolution of generalized form factors

Broniowski

Arriola

2009

Phys. Rev. D

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Generalized form factors of hadrons are objects appearing in moments of the generalized parton distributions. Their leading-order DGLAP-ERBL QCD evolution is exceedingly simple and the solution is given in terms of matrix triangular structures of linear equations where the coefficients are the evolution ratios. We point out that this solution has a practical importance in analyses where the generalized form factors are basic objects, e.g., the lattice-gauge studies or models. It also displays general features of their evolution.

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“…Finally, transitions involving one transverse and one longitudinal photon are suppressed by one power of the large scale Q or Q ′ . These twist-three contributions 6 have been studied in [11], and twist-four contributions to the double helicity flip amplitudes in [12]. These studies were performed for large spacelike virtualities; whether they can be extended to the timelike case is a question beyond the scope of this paper.…”

Section: The Compton Amplitudementioning

confidence: 99%

Timelike Compton Scattering

Berger¹,

Pire²,

Diehl³

2002

Deep Inelastic Scattering

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We investigate the exclusive photoproduction of a heavy timelike photon which decays into a lepton pair, γp → ℓ + ℓ − p. This can be seen as the analog of deeply virtual Compton scattering, and we argue that the two processes are complementary for studying generalized parton distributions in the nucleon. In an unpolarized experiment the angular distribution of the leptons readily provides access to the real part of the Compton amplitude. We estimate the possible size of this effect in kinematics where the Compton process should be dominated by quark exchange.

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Scale dependence of QCD string operators

Cited by 17 publications

References 28 publications

Generalized quark transversity distribution of the pion in chiral quark models

Generalized quark transversity distribution of the pion in chiral quark models

Note on the QCD evolution of generalized form factors

Timelike Compton Scattering

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