arXiv subjects

S. Pozdnyakov

Publications and source records attributed to S. Pozdnyakov.

7 recordsLinked to original sources

arXiv2021

Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action

We consider a derivation of the hierarchy of correlators of ordered exponentials directly from the Lipatov's effective action~\cite{LipatovEff} formulated in terms of interacting ordered exponentials~\cite{OurZub}. The derivation of the Balitsky equation~\cite{Bal} from the hierarchy is discussed as well as the way the sub-leading eikonal corrections to the Balitsky equation arise from the transverse field contribution and sub-leading eikonal corrections to the quark propagator. We outline other possible applications of the proposed calculation scheme.

hep-th↗

arXiv2020

High energy scattering in Einstein-Cartan gravity

We consider Riemann-Cartan gravity with minimal Palatini action, which is classically equivalent to Einstein gravity. Following the ideas of L.Lipatov \cite{LipGrav} we propose the effective action for this theory aimed at the description of the high-energy scattering of gravitating particles in the multi - Regge kinematics. For that purpose we add to the Palatini action the new terms responsible for the interaction of gravitational quanta with certain collective excitations that replace exchange by multiple gravitational excitations. We propose the heuristic explanation of its particular form based on an analogy to the reggeon field theory of QCD. We argue that Regge kinematics assumes the appearance of an effective two - dimensional model describing the high - energy scattering similar to that of QCD. Such a model may be formulated in a way leading to our final effective theory, which contains interaction between the ordinary quanta of spin connection and vielbein with their effective counterparts that pretend to the role of the gravitational reggeons.

hep-th↗

arXiv2019

On QCD RFT corrections to the propagator of reggeized gluons

We calculate an one loop QCD Regge Field Theory (RFT) correction to the propagator of reggeized gluons basing on the QCD effective action of Lipatov, \cite{LipatovEff,LipatovEff1,Our1,Our2,Our3,Our4}, and results of \cite{Our5} where Dyson-Schwinger hierarchy of the equations for the correlators of reggeized gluon fields was derived. The correction is calculated entirely in the framework of RFT with the use of the obtained expressions for the RFT bare triple Reggeon vertices and propagator of reggeized gluons, the cases of bare propagator and propagator calculated to one-loop precision are considered separately. In both results the obtained correction represents non-eikonal contributions to the propagator kinematically suppressed by $1/\sqrt{s}$ factor in comparison to the usual LLA contributions. The further application of the obtained results is discussed as well.

hep-th↗

arXiv2019

On reggeization of vertex of three reggeized gluons in high energy QCD

The unitarity corrections to the propagator of reggeized gluons calculated in the framework of QCD RFT require a knowledge of the expressions for Reggeon propagator and vertices of interaction of three reggeized gluons (Reggeons) to one QCD loop precision, see \cite{Our6}. In this paper we calculate the vertex of interactions of $A_+ A_+ A_-$ Reggeon fields, i.e. vertex of transition of $A_-$ Reggeon field to $A_+ A_+$ fields, to this precision. We demonstrate, that all loop leading logarithmic order contributions to the vertex can be summed through the integro-differential equation similarly to the BFKL one, \cite{BFKL}. The solution of this equation leads to the reggeized from of the vertex with the trajectory twice larger then the trajectory of reggeized gluon propagator. The application of the obtained result is also discussed.

hep-ph↗

arXiv2018

On correlators of Reggeon fields and operators of Wilson lines in high energy QCD

In this note we derive Dyson-Schwinger hierarchy of the equations for the correlators of reggeized gluon fields in the framework of Lipatov's high energy QCD effective action formalism, \cite{LipatovEff,Our1,Our2,Our3,Our4}. The explicit perturbative expressions for the correlators till correlator of four Reggeon fields inclusively are obtained and different perturbative schemes for the solutions of the equation for the two-field correlator are discussed. A correspondence between the correlators of reggeized gluon fields and Wilson line operators of longitudinal gluon field is established with the help of \cite{Our4} paper results. The connection between the JIMWLK-Balitsky formalism and Lipatov's effective action approach and applications of the obtained results are also discussed.

hep-th↗

arXiv2018

S-matrix and productions amplitudes in high energy QCD

In this note we discuss a generalization of the Lipatov's effective action approach, \cite{LipatovEff,LipatovEff1}, for the case of description of gluon and quark production amplitudes in the quasi-multi-Regge kinematics. Following to \cite{Faddeev}, we define the S-matrix elements of high energy QCD processes in this kinematics and discuss applications of the obtained results.

hep-th↗

arXiv2017

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

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this effective action in light-cone gauge are calculated. The RFT calculus for reggeized gluons similarly to the RFT introduced in [3] is proposed and discussed. The correctness of the results is verified by calculation of the propagator of $A_{+}$ and $A_{-}$ reggeized gluons fields and application of the obtained results is discussed as well.

hep-th↗