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Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Nlo Bfkl And Anomalous Dimensions Of Light Ray Operators, Ian Balitsky
Nlo Bfkl And Anomalous Dimensions Of Light Ray Operators, Ian Balitsky
Physics Faculty Publications
The anomalous dimensions of light-ray operators of twist two are obtained by analytical continuation of the anomalous dimensions of corresponding local operators. I demonstrate that the asymptotics of these anomalous dimensions at the “BFKL point” j → 1 can be obtained by comparing the light-cone operator expansion with the high-energy expansion in Wilson lines
Rapidity Evolution Of Wilson Lines At The Next-To-Leading Order, Ian Balitsky, Giovanni A. Chirilli
Rapidity Evolution Of Wilson Lines At The Next-To-Leading Order, Ian Balitsky, Giovanni A. Chirilli
Physics Faculty Publications
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.
Photon Impact Factor And 𝑘T Factorization In The Next-To-Leading Order, Ian Balitsky
Photon Impact Factor And 𝑘T Factorization In The Next-To-Leading Order, Ian Balitsky
Physics Faculty Publications
The photon impact factor for the BFKL pomeron is calculated in the next-to-leading order (NLO) approximation using the operator expansion in Wilson lines. The result is represented as a NLO kT-factorization formula for the structure functions of small-x deep inelastic scattering.
Evolution Of Conformal Color Dipoles And High Energy Amplitudes In 𝒩 = 4 Sym, Ian Balitsky
Evolution Of Conformal Color Dipoles And High Energy Amplitudes In 𝒩 = 4 Sym, Ian Balitsky
Physics Faculty Publications
The high-energy behavior of the 𝒩 = 4 SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the high-energy operator expansion in Wilson lines. At large Nc, a typical four-point amplitude is determined by a single BFKL pomeron. The conformal structure of the four-point amplitude is fixed in terms of two functions: pomeron intercept and the coefficient function in front of the pomeron (the product of two residues). The pomeron intercept is universal while the coefficient function depends on the correlator in question. The intercept is known in the first two …
Factorization And High-Energy Effective Action, Ian Balitsky
Factorization And High-Energy Effective Action, Ian Balitsky
Physics Faculty Publications
I demonstrate 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.
Factorization For High-Energy Scattering, Ian Balitsky
Factorization For High-Energy Scattering, Ian Balitsky
Physics Faculty Publications
I demonstrate that the amplitude for the high-energy scattering can be factorized into 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.
Operator Expansion For High-Energy Scattering, Ian Balitsky
Operator Expansion For High-Energy Scattering, Ian Balitsky
Physics Faculty Publications
I demonstrate that the leading logarithms for high-energy scattering can be obtained as a result of evolution of the non-local operators—straight-line ordered gauge factors—with respect to the slope of the straight line.