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High-Energy Amplitudes in the Next-to-Leading Order

Description: High-energy scattering in the saturation region is described by the evolution of color dipoles. In the leading order this evolution is governed by the non-linear BK equation. To see if this equation is relevant for existing or future accelerators (like EIC or LHeC) one needs to know how big are the next-to-leading order (NLO) corrections. I review the calculation of the NLO corrections to high-energy amplitudes in QCD.
Date: March 1, 2011
Creator: Balitsky, Ian
Partner: UNT Libraries Government Documents Department

NLO BFKL and anomalous dimensions of light-ray operators

Description: This presentation covers: Regge limit in the coordinate space; “BFKL” representation of 4-point correlation function in N = 4 SYM; light-ray operators; “DGLAP” representation of 4-point correlation function; and anomalous dimensions from DGAP vs BFKL representations.
Date: May 1, 2013
Creator: Balitsky, Ian
Partner: UNT Libraries Government Documents Department

NLO evolution of color dipoles

Description: The small-x deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles. In the next-to-leaing order the BK equation gets contributions from quark and gluon loops as well as from the tree gluon diagrams with quadratic and cubic nonlinearities. We calculate the gluon contribution to small-x evolution of Wilson lines (the quark part was obtained earlier).
Date: January 1, 2008
Creator: Balitsky, Ian & Chirilli, Giovanni
Partner: UNT Libraries Government Documents Department

Rapidity evolution of Wilson lines at the next-to-leading order

Description: At high energies particles move very fast so the proper degrees of freedom for the fast gluons moving along the straight lines are Wilson-line operators - infinite gauge factors ordered along the line. In the framework of operator expansion in Wilson lines the energy dependence of the amplitudes is determined by the rapidity evolution of Wilson lines. We present the next-to-leading order hierarchy of the evolution equations for Wilson-line operators.
Date: December 1, 2013
Creator: Balitsky, Ian & Chirilli, Giovanni
Partner: UNT Libraries Government Documents Department

High energy effective action from scattering of shock waves in QCD

Description: The author demonstrates that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors ordered along the straight line. The resulting factorization formula gives a starting point for a new approach to the effective action for high-energy scattering in QCD.
Date: January 1, 2000
Creator: Balitsky, Ian
Partner: UNT Libraries Government Documents Department

Factorization for high-energy scattering

Description: The author demonstrates that the amplitude of the high-energy scattering can be factorized in a product of two independent functional integrals over ''fast'' and ''slow'' fields which interact by means of Wilson-line operators -- gauge factors ordered along the straight lines.
Date: July 1, 1998
Creator: Balitsky, Ian
Partner: UNT Libraries Government Documents Department

Effective field theory for the small-x evolution

Description: The small-x behavior of structure functions in the saturation region is determined by the non-linear generalization of the BFKL equation. I suggest the effective field theory for the small-x evolution which solves formally this equation. The result is the 2+1 functional integral for the structure functions at small x.
Date: May 1, 2001
Creator: Balitsky, Ian
Partner: UNT Libraries Government Documents Department

Factorization and effective action for high-energy scattering in QCD

Description: The author demonstrates that the amplitude of the high-energy scattering can be factorized in a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors ordered along the straight line. The resulting factorization formula gives a starting point for a new approach to the effective action for high-energy scattering.
Date: April 1, 1998
Creator: Balitsky, Ian
Partner: UNT Libraries Government Documents Department

Factorization and high-energy effective action

Description: The author demonstrates that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors ordered along the straight line. The resulting factorization formula gives a starting point for a new approach to the effective action for high-energy scattering in QCD.
Date: December 1, 1998
Creator: Balitsky, Ian
Partner: UNT Libraries Government Documents Department

How much of the nucleon spin is carried by glue?

Description: The authors estimate in the QCD sum rule approach the amount of the nucleon spin carried by the gluon angular momentum: the sum of the gluon spin and orbital angular momenta. The result indicates that gluons contribute at least one half of the nucleon spin at scale of 1 GeV{sup 2}.
Date: February 1, 1997
Creator: Balitsky, Ian & Ji, Xiangdong
Partner: UNT Libraries Government Documents Department

Scattering of color dipoles: from low to high energies

Description: A dipole-dipole scattering amplitude is calculated exactly in the first two orders of perturbation theory. This amplitude is an analytic function of the relative energy and the dipoles' sizes. The cross section of the dipole-dipole scattering approached the high-energy BFKL asymptotics starting from relatively large rapidity {approx}4.
Date: November 1, 2002
Creator: Babansky, Alexander & Balitsky, Ian
Partner: UNT Libraries Government Documents Department