On the application of the effective action approach to amplitudes with reggeon splitting

Braun, M. A.; Pozdnyakov, S.; Salykin, M. Yu.; Vyazovsky, M. I.

doi:10.1140/epjc/s10052-014-2989-x

Cited by 5 publications

(3 citation statements)

References 18 publications

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“…1, there are no additional rescattering contributions, so that the mentioned pole singularities are preserved in the amplitudes and should be taken into account in the longitudinal integrations. Finally, again in contrast to the case of a single projectile [16][17][18], we find that the structure of the on-mass-shell vertex remains quite complicated and cannot be restored from the purely transverse picture, which is obtained by taking multiple cuts of the amplitude [19]. We believe that this is due to the fact that the amplitude possesses additional singularities, apart from the standard ones corresponding to physical intermediate gluons.…”

Section: Amentioning

confidence: 56%

“…In the case of gluon production in the collision of a single projectile on several targets, these poles cancel with the singularities coming from rescattering contributions [16][17][18]. In our case there is no rescattering and one might think that these poles cancel in the total amplitude after taking into account all permutations of the interacting reggeons.…”

Section: Poles In Longitudinal Momentamentioning

confidence: 68%

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Gluon emission in interaction of two reggeons

et al. 2015

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The vertex is constructed for gluon production in the interaction of two reggeons coupled to projectiles and two reggeons coupled to targets. The vertex can be used to build cross sections for collisions of two pairs of nucleons in AA scattering. The transversality of the constructed vertex is demonstrated as well as its good behaviour at large longitudinal momenta necessary for applications. Poles at zero values of longitudinal momenta are discussed and it is found that they remain in the amplitudes unlike in the case of a single projectile.

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Section: Amentioning

confidence: 56%

Section: Poles In Longitudinal Momentamentioning

confidence: 68%

Gluon emission in interaction of two reggeons

et al. 2015

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“…Among the results which we did not review here, are the effective action for Regge processes in gravity [41], earlier versions of an high energy effective action [5][6][7] as well as the determination of the 3 → 3 reggeized gluon transition kernel, needed for the NLO Bartels-Kwiecinski-Praszalowicz equation in [42] and the NLO corrections to the Mueller-Tang jet impact factor [43][44][45]. Another line of research has been developed in a series of papers [18,[46][47][48][49][50][51][52][53] dedicated to the study of production processes at central rapidities in the presence of multiple reggeized gluon exchange. The relation of the high energy effective action to the Color Glass Condensate approach as well as the further development of the underlying formulation has been explored in [54,55] and continued in [56][57][58][59][60].…”

Section: Discussionmentioning

confidence: 99%

Lipatov's QCD high energy effective action: past and future

Hentschinski¹

2020

Preprint

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In this contribution we briefly review some aspects of Lipatov's gauge invariant QCD high energy effective action. The high energy effective provides a field theory framework to systematically factorize QCD scattering amplitudes and related theories in the limit of high center of mass energies. After a short review of the underlying concepts, we address the question how the high energy effective action can be used for actual calculations. As an explicit example we review the derivation of the gluon Regge trajectory up to 2 loop. We then review two topics of current interest: automatic amplitude generation of high energy effective action amplitudes and a discussion of the relation between the so-called Color-Glass-Condensate framework and the high energy effective action.

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Color glass condensate formalism, Balitsky-JIMWLK evolution, and Lipatov’s high energy effective action

Hentschinski

2018

Phys. Rev. D

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We investigate the question whether Lipatov's high energy effective action is capable of reproducing quark and gluon propagators that resum the interaction with a strong background field within high energy factorization. Such propagators are frequently employed in calculations within the color glass condensate formalism, in particular when considering scattering of a dilute projectile on a dense target nucleus or nucleon. We find that such propagators can be obtained from the high energy effective action, if a special parametrization of the gluonic field is used, first proposed by Lipatov in the original publication on the high energy effective action. The obtained propagators are used to rederive from the high energy effective action the leading order Balitsky, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution equation in covariant gauge. As an aside, our result confirms the definition of the Reggeized gluon as the logarithm of an adjoint Wilson line, proposed in the literature.

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On the application of the effective action approach to amplitudes with reggeon splitting

Cited by 5 publications

References 18 publications

Gluon emission in interaction of two reggeons

Gluon emission in interaction of two reggeons

Lipatov's QCD high energy effective action: past and future

Color glass condensate formalism, Balitsky-JIMWLK evolution, and Lipatov’s high energy effective action

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