52 research outputs found
Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach
We discuss application of formalism of small- effective action for
reggeized gluons, \cite{Gribov,LipatovEff,BFKL}, for the calculation of
classical gluon field of relativistic color charge, similarly to that done in
CGC approach of \cite{Venug,Kovner}. The equations of motion with the reggeon
fields are solved in LO and NLO approximations and new solutions are found. The
results are compared to the calculations performed in the CGC framework and it
is demonstrated that the LO CGC results for the classical field are reproduced
in our calculations. Possible applications of the NLO solution in the effective
action and CGC frameworks are discussed as well.Comment: 15 page
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 and reggeized gluons fields
and application of the obtained results is discussed as well.Comment: 24 page
Unifying approaches: BK equation from the Lipatov's effective action
We consider a direct derivation of the Balitsky-Kovchegov
equation~\cite{Bal,Kovch} from the Lipatov's effective action~\cite{LipatovEff}
formulated in terms of interacting ordered exponentials~\cite{OurZub}. We
discuss the way the sub-leading eikonal corrections to the Balitsky-Kovchegov
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.Comment: 22 page
Mandelstam cuts and light-like Wilson loops in N=4 SUSY
We perform an analytic continuation of the two-loop remainder function for
the six-point planar MHV amplitude in N=4 SUSY, found by Goncharov, Spradlin,
Vergu and Volovich from the light-like Wilson loop representation. The
remainder function is continued into a physical region, where all but two
energy invariants are negative. It turns out to be pure imaginary in the
multi-Regge kinematics, which is in an agreement with the predictions based on
the Steinmann relations for the Regge poles and Mandelstam cut contributions.
The leading term reproduces correctly the expression calculated by one of the
authors in the BFKL approach, while the subleading term presents a result, that
was not yet found with the use of the unitarity techniques. This supports the
applicability of the Wilson loop approach to the planar MHV amplitudes in N=4
SUSY.Comment: 11 pages, 4 figure
Duality symmetry of BFKL equation: reggeized gluons vs color dipoles
We show that the duality symmetry of the BFKL equation can be interpreted as
a symmetry under rotation of the BFKL Kernel in the transverse space from
s-channel (color dipole model) to t-channel (reggeized gluon formulation). We
argue that the duality symmetry holds also in the non-forward case due to a
very special structure of the non-forward BFKL Kernel, which can be written as
a sum of three forward BFKL Kernels. The duality symmetry is established by
identifying the dual coordinates with the transverse coordinates of a
non-diagonal dipole scattered off the target.Comment: 13 pages, 5 figure
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