Diffraction, the Color Glass Condensate and String Theory

Bittig, Thomas; Ewerz, Carlo

doi:10.1016/j.nuclphysa.2005.03.076

Cited by 4 publications

(4 citation statements)

References 22 publications

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“…The QCD Reggeon Field Theory (QCD-RFT) approach is formulated in momentum space and bases the on standard diagrammatic calculus [9,10,11,12,13,14]. The main building blocks here are QCD reggeon Green's functions and multi-reggeon vertices derived in the perturbative QCD.…”

Section: Introductionmentioning

confidence: 99%

Solving effective field theory of interacting QCD pomerons in the semiclassical approximation

Bondarenko¹,

Motyka

2007

Phys. Rev. D

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Effective field theory of BFKL pomerons interacting by QCD triple pomeron vertices is investigated.Classical equations of motion for the effective pomeron fields are presented being a minimal extension of the Balitsky-Kovchegov equation that incorporates both merging and splitting of the pomerons and that is selfdual. The equations are solved for symmetric boundary conditions. The solutions provide the dominant contribution to the scattering amplitudes in the semi-classical approximation. We find that for rapidities of the scattering larger than a critical value Y c at least two classical solutions exist. Curiously, for each of the two classical solutions with the lowest action the symmetry between the projectile and the target is found to be spontaneously broken, being however preserved for the complete set of classical solutions.The solving configurations at rapidities Y > Y c consist of a Gribov field being strongly suppressed even at very large gluon momenta and the complementary Gribov field that converges at high Y to a solution of Balitsky-Kovchegov equation. Interpretation of the results is given and possible consequences are shortly discussed.hep-ph/0605185 *

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Section: Introductionmentioning

confidence: 99%

Solving effective field theory of interacting QCD pomerons in the semiclassical approximation

Bondarenko¹,

Motyka

2007

Phys. Rev. D

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Section: Introductionmentioning

confidence: 99%

“…In the QCD Pomeron framework, [1,2,3], these corrections are arose due the self Pomeron interactions via the triple Pomeron interactions vertices [4,5]. These self Pomeron interactions lead to the very complicated picture of the amplitude's evolution with rapidity, see for example [6,7,8,9,10].There are few main approaches which claim that they properly describe the Pomeron self interactions. The first one is presented as a chain of the evolution equations with Balitsky-Kovchegov (BK) equation as a main field equation of the hierarchy, [11].…”

mentioning

confidence: 99%

“…This equation correctly describes the interaction of two non identical objects, for example such interactions as DIS on nuclei, see [13,14,15,16,17,18,19,20]. Another approach is the QCD Reggeon Field Theory (RFT-QCD), which is formulated in the momentum space and based on the standard diagrammatic calculus, [6,7,8,9,21,22,23]. In this approach the BK equation describes a resummation of the "fan" diagrams of the type depicted in Fig.1a with only Pomerons merging vertices considered.Usual BK equation, describing "fan" diagrams, does not include Pomeron's splitting vertex.…”

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confidence: 99%

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Regge field theory in zero transverse dimensions: loops versus “net” diagrams

Bondarenko

2011

Eur. Phys. J. C

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Toy models of interacting Pomerons with triple and quaternary Pomeron vertices in zero transverse dimension are investigated. Numerical solutions for eigenvalues and eigenfunctions of the corresponding Hamiltonians are obtained, providing the quantum solution for the scattering amplitude in both models. The equations of motion for the Lagrangians of the theories are also considered and the classical solutions of the equations are found. Full two-point Green functions ("effective" Pomeron propagator) and amplitude of diffractive dissociation process are calculated in the framework of RFT-0 approach. The importance of the loops contribution in the amplitude at different values of the model parameters is discussed as well as the difference between the models with and without quaternary Pomeron vertex. *The complete understanding of the high energy scattering processes is impossible without the calculation of the contributions of the different unitarization corrections to the amplitude. In the QCD Pomeron framework, [1,2,3], these corrections are arose due the self Pomeron interactions via the triple Pomeron interactions vertices [4,5]. These self Pomeron interactions lead to the very complicated picture of the amplitude's evolution with rapidity, see for example [6,7,8,9,10].There are few main approaches which claim that they properly describe the Pomeron self interactions. The first one is presented as a chain of the evolution equations with Balitsky-Kovchegov (BK) equation as a main field equation of the hierarchy, [11]. The BK equation may be formulated in the framework of the Color Glass Condensate Approach (CGK), [10], and may be properly analyzed in the terms of s-channel interacting color dipoles, [12]. This equation correctly describes the interaction of two non identical objects, for example such interactions as DIS on nuclei, see [13,14,15,16,17,18,19,20]. Another approach is the QCD Reggeon Field Theory (RFT-QCD), which is formulated in the momentum space and based on the standard diagrammatic calculus, [6,7,8,9,21,22,23]. In this approach the BK equation describes a resummation of the "fan" diagrams of the type depicted in Fig.1a with only Pomerons merging vertices considered.Usual BK equation, describing "fan" diagrams, does not include Pomeron's splitting vertex. Therefore, the next natural step toward the unitarization of the amplitude is a symmetrical consideration of the scattering process with both vertices included. In this case the splitting vertex may be accounted differently in two different approximations. In the first approach the semi-classical problem of the interest is considered and there the sum of the diagrams depicted in Fig.1b is calculated, neglecting Pomeron loops contribution into amplitude. The second approach is concentrated on the solution of the full quantum problem basing on some effective high-energy QCD inspired models, accounting diagrams of Fig.1c type, see for example [24]. So far several attempts of the calculations were done in both directions, on the basis of QCD-RFT t...

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High energy behavior of a six-point R-current correlator in $$ \mathcal{N} = 4 $$ supersymmetric Yang-Mills theory

Bartels

Ewerz

Hentschinski

et al. 2010

J. High Energ. Phys.

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We study the high energy limit of a six-point R-current correlator in N = 4 supersymmetric Yang-Mills theory for finite N c . We make use of the framework of perturbative resummation of large logarithms of the energy. More specifically, we apply the (extended) generalized leading logarithmic approximation. We find that the same conformally invariant two-to-four gluon vertex occurs as in non-supersymmetric Yang-Mills theory. As a new feature we find a direct coupling of the four-gluon t-channel state to the R-current impact factor.

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Diffraction, the Color Glass Condensate and String Theory

Cited by 4 publications

References 22 publications

Solving effective field theory of interacting QCD pomerons in the semiclassical approximation

Solving effective field theory of interacting QCD pomerons in the semiclassical approximation

Regge field theory in zero transverse dimensions: loops versus “net” diagrams

High energy behavior of a six-point R-current correlator in $$ \mathcal{N} = 4 $$ supersymmetric Yang-Mills theory

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