One-loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus

Bondarenko, S.; Lipatov, L.N.; Pozdnyakov, S.; Prygarin, A.

doi:10.1140/epjc/s10052-017-5208-8

Cited by 28 publications

(100 citation statements)

References 71 publications

(151 reference statements)

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“…Then the perturbation theory is to be constructed around the leading order classical solution A = B. The results of the calculations coincide identically [6,16]. Notice, that for the action of the form close to that of Eq.…”

Section: The Effective Theory For the I -Th Sector Of The Multi -mentioning

confidence: 79%

“…We have considered this on the example of the coupling constants given by Eq. (16). Then the perturbation theory is to be built around the value of A equal to the field of the reggeon B.…”

Section: Discussionmentioning

confidence: 99%

“…In this section we restrict ourselves by the case, when ζ, ζ ′ are given by Eq. (16). We show in Sect.…”

Section: Appendix Amentioning

confidence: 92%

“…(31). The alternative explanation of this finite renormalization is given, for example, in [16]. In this approach the initial kinetic coefficient of Eq.…”

Section: Effective Action In the Form Of Lipatovmentioning

confidence: 99%

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The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons

Bondarenko

Zubkov

2018

Eur. Phys. J. C

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We discuss the high energy scattering of hadrons with the multi -Regge kinematics. The effective 2D model for the interaction between the produced hard gluons appears as a result of the dimensional reduction, which is similar to the dimensional reduction 3 + 1 D → 3 D of the high temperature gauge theory. It is demonstrated that being supplemented by the exchange by virtual 3 + 1 D gluons this 2D model gives rise to the hermitian version of the effective action of Lipatov for the interaction between the ordinary and the reggeized gluons. PACS numbers: 12.38.CyQCD. Summation of perturbation theory 13.85.-t Hadron-induced high-and super-high-energy interactions (energy > 10 GeV)

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Section: The Effective Theory For the I -Th Sector Of The Multi -mentioning

confidence: 79%

“…We have considered this on the example of the coupling constants given by Eq. (16). Then the perturbation theory is to be built around the value of A equal to the field of the reggeon B.…”

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons

Bondarenko

Zubkov

2018

Eur. Phys. J. C

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“…which is functional of the reggeized gluon fields only. These actions and equation 26are published in detail in [7]. The interaction of reggeized gluons A + and A − is defined as effective vertex of interactions of reggeon fields in the action:…”

Section: One Loop Expressionmentioning

confidence: 99%

The construction of RFT from the Lipatov’s effective action

Bondarenko

Pozdnyakov

2018

EPJ Web Conf.

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Inclusive prompt photon production in electron-nucleus scattering at small x

Roy

Venugopalan

2018

J. High Energ. Phys.

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Abstract:We compute the differential cross-section for inclusive prompt photon production in deeply inelastic scattering (DIS) of electrons on nuclei at small x in the framework of the Color Glass Condensate (CGC) effective theory. The leading order (LO) computation in this framework resums leading logarithms in x as well as power corrections to all orders in Q 2 s,A /Q 2 , where Q s,A (x) is the nuclear saturation scale. This LO result is proportional to universal dipole and quadrupole Wilson line correlators in the nucleus. In the soft photon limit, the Low-Burnett-Kroll theorem allows us to recover existing results on inclusive DIS dijet production. The k ⊥ and collinearly factorized expressions for prompt photon production in DIS are also recovered in a leading twist approximation to our result. In the latter case, our result corresponds to the dominant next-to-leading order (NLO) perturbative QCD contribution at small x. We next discuss the computation of the NLO corrections to inclusive prompt photon production in the CGC framework. In particular, we emphasize the advantages for higher order computations in inclusive photon production, and for fully inclusive DIS, arising from the simple momentum space structure of the dressed quark and gluon "shock wave" propagators in the "wrong" light cone gauge A − = 0 for a nucleus moving with P + N → ∞.

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One-loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus

Abstract: The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see Lipatov (Nucl Phys B 452:369, 1995; Phys Rep 286:131, 1997

Cited by 28 publications

References 71 publications

The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons

The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons

The construction of RFT from the Lipatov’s effective action

Inclusive prompt photon production in electron-nucleus scattering at small x

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