The analytic structure of the anomalous dimension of the four-gluon operator in deep inelastic scattering

Bartels, Jochen; Ryskin, M. G.

doi:10.1007/bf01555902

Cited by 20 publications

(26 citation statements)

References 5 publications

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“…A possibility that RFT should involve a 2 → 2 Pomeron vertex has been previously discussed in the literature [60,[70][71][72][73][74][75]. Recently, Braun [76,77] argued that such a vertex appears in the BKP formalism and can be relevant for collisions of two deuterons.…”

Section: On the Effective 2 → 2 Pomeron Vertexmentioning

confidence: 94%

“…(3.43). An interesting property of this Hamiltonian is that it generates the additional contribution to the two Pomeron Green's function [70][71][72][73] through graphs illustrated on figure 3. This has the effect that in the linearized approximation the two Pomeron Green's function increases faster than the product of two the single Pomeron exchanges: ω P P = 2 ω P + λ/N 2 c δ where δ is a small number (see ref.…”

Section: Jhep04(2014)075mentioning

confidence: 99%

“…This has the effect that in the linearized approximation the two Pomeron Green's function increases faster than the product of two the single Pomeron exchanges: ω P P = 2 ω P + λ/N 2 c δ where δ is a small number (see ref. [70][71][72][73] for details). This contribution starts to be essential with rapidities η ∝ N 2 c /λ > η max .…”

Section: Jhep04(2014)075mentioning

confidence: 99%

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Reggeon field theory for large Pomeron loops

Altinoluk

Kovner

Levin

et al. 2014

J. High Energ. Phys.

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Abstract:We analyze the range of applicability of the high energy Reggeon Field Theory H RFT derived in [1]. We show that this theory is valid as long as at any intermediate value of rapidity η throughout the evolution at least one of the colliding objects is dilute. Importantly, at some values of η the dilute object could be the projectile, while at others it could be the target, so that H RFT does not reduce to either H JIM W LK or H KLW M IJ . When both objects are dense, corrections to the evolution not accounted for in [1] become important. The same limitation applies to other approaches to high energy evolution available today, such as for example [2,3] and [4][5][6]. We also show that, in its regime of applicability H RFT can be simplified. We derive the simpler version of H RFT and in the large N c limit rewrite it in terms of the Reggeon creation and annihilation operators. The resulting H RFT is explicitly self dual and provides the generalization of the Pomeron calculus developed in [4-6] by including higher Reggeons in the evolution. It is applicable for description of 'large' Pomeron loops, namely Reggeon graphs where all the splittings occur close in rapidity to one dilute object (projectile), while all the merging close to the other one (target). Additionally we derive, in the same regime expressions for single and double inclusive gluon production (where the gluons are not separated by a large rapidity interval) in terms of the Reggeon degrees of freedom.

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Section: On the Effective 2 → 2 Pomeron Vertexmentioning

confidence: 94%

Section: Jhep04(2014)075mentioning

confidence: 99%

Section: Jhep04(2014)075mentioning

confidence: 99%

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Reggeon field theory for large Pomeron loops

Altinoluk

Kovner

Levin

et al. 2014

J. High Energ. Phys.

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“…In this case the swing would be proportional to α 2 s , which again, compared toᾱ, is formally suppressed by N 2 c . The dipole swing is related to the pomeron interactions studied by Bartels and Ryskin [20,21]. Here a pomeron is interpreted as two gluons in a colour singlet state.…”

Section: Approaches Towards a Frame Independent Formalismmentioning

confidence: 99%

On the dipole swing and the search for frame independence in the dipole model

Avsar

2007

J. High Energy Phys.

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Small-x evolution in QCD is conveniently described by Mueller's dipole model which, however, does not include saturation effects in a way consistent with boost invariance. In this paper we first show that the recently studied zero and one dimensional toy models exhibiting saturation and explicit boost invariance can be interpreted in terms positive definite k → k + 1 dipole vertices. Such k → k + 1 vertices can in the full model be generated by combining the usual dipole splitting with k − 1 simultaneous dipole swings. We show that, for a system consisting of N dipoles, one needs to combine the dipole splitting with at most N − 1 simultaneous swings in order to generate all colour correlations induced by the multiple dipole interactions.

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“…14a. A poor man's approximation to this as yet unsolved problem ( [196,197] and references therein) is the multiple exchange by bare Pomerons, in general case the interactions between gluons from different Pomerons must be included. When the multipomeron exchanges are evaluated in the eikonal approximation, one obtains the "unitarized" profile function [163] Γ(r,…”

Section: Unitarity and Saturation In The Color Dipole Languagementioning

confidence: 99%