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In this paper we solved the new evolution equation for high energy scattering amplitudethat stems from the Gribov-Zwanziger approach to the confinement of quarks and gluons. We found that (1) the energy dependence of the scattering…

高能物理 - 唯象学 · 物理学 2021-05-26 E. Gotsman , Yu. Ivanov , E. Levin

An extended collinearly-improved Balitsky-Kovchegov evolution equation in the target rapidity representation is derived by including the running coupling corrections during the expansion of the "real" $S$-matrix. We find that the running…

高能物理 - 唯象学 · 物理学 2021-07-28 Wenchang Xiang , Yanbing Cai , Mengliang Wang , Daicui Zhou

I demonstrate 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…

高能物理 - 唯象学 · 物理学 2007-05-23 Ian Balitsky

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

高能物理 - 理论 · 物理学 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon

We discuss the high energy diffractive dissociation in DIS at the Next to Leading Order. In the large $N_c$ dipole limit we derive the NLO version of the Kovchegov-Levin equation. We argue that the original structure of the equation is…

高能物理 - 唯象学 · 物理学 2014-10-21 Michael Lublinsky

We analytically solve the full next-to-leading logarithmic Balitsky-Kovchegov equation in the saturation regime, which includes corrections from quark and gluon loops, and large double transverse logarithms. The analytic result for the…

高能物理 - 唯象学 · 物理学 2017-06-28 Wenchang Xiang , Shaohong Cai , Daicui Zhou

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

高能物理 - 唯象学 · 物理学 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels

I review the treatment of high-energy QCD in Minkowski space, with an emphasis on factorization theorems as extensions of the operator product expansion. I discuss how the factorization properties of high-energy cross sections and…

高能物理 - 唯象学 · 物理学 2007-05-23 George Sterman

We continue to investigate correspondences between, on the one hand, scattering amplitudes for massive higher-spin particles and gravitons in appropriate quantum-to-classical limits, and on the other hand, classical gravitational…

高能物理 - 理论 · 物理学 2023-06-08 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

In any consistent massive quantum field theory there are well known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well defined object analogous to…

高能物理 - 理论 · 物理学 2020-03-18 Matthew Dodelson , Hirosi Ooguri

We propose a stochastic particle model in (1+1)-dimensions, with one dimension corresponding to rapidity and the other one to the transverse size of a dipole in QCD, which mimics high-energy evolution and scattering in QCD in the presence…

高能物理 - 唯象学 · 物理学 2008-11-26 E. Iancu , J. T. de Santana Amaral , G. Soyez , D. N. Triantafyllopoulos

In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the BFKL equation. We resolve these relations in the diffusion approximation for the BFKL kernel.…

高能物理 - 唯象学 · 物理学 2023-03-29 Eugene Levin

We address the question to what extent JIMWLK evolution is capable of taking into account angular correlations in a high energy hadronic wave function. Our conclusion is that angular (and indeed other) correlations in the wave function…

高能物理 - 唯象学 · 物理学 2013-05-29 Alex Kovner , Michael Lublinsky

Motivated by the limited interaction between the mathematical physics community and theoretical physicists - particularly in high-energy theory - we present a computation that is typically the first example in QFT courses but, to our…

高能物理 - 理论 · 物理学 2025-09-26 H. A. C. Grande , J. C. A Barata

Scattering theory has been suggested as a convenient method to identify topological phases of matter, in particular of disordered systems for which the Bloch band-theory approach is inapplicable. Here we examine this idea, employing as a…

介观与纳米尺度物理 · 物理学 2024-03-14 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

In this paper we study the description of saturation in Balitsky, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov and Kovner (B-JIMWLK) picture when restricted to observables made up only from dipole operators. We derive a functional…

高能物理 - 唯象学 · 物理学 2009-11-10 Romuald A. Janik

Within the framework of a (1+1)-dimensional model which mimics evolution and scattering in QCD at high energy, we study the influence of the running of the coupling on the high-energy dynamics with Pomeron loops. We find that the particle…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Dumitru , E. Iancu , L. Portugal , G. Soyez , D. N. Triantafyllopoulos

We consider the long-standing problem of predicting the hierarchical clustering amplitudes $S_p$ in the strongly non-linear regime of gravitational evolution. N-body results for the non-linear evolution of the bispectrum (the Fourier…

天体物理学 · 物理学 2009-10-31 Roman Scoccimarro , Joshua A. Frieman

The high-energy quark-quark scattering amplitude is calculated first in the case of scalar QCD, using Fradkin's approach to derive the scalar quark propagator in an external gluon field and computing it in the eikonal approximation. The…

高能物理 - 理论 · 物理学 2007-05-23 Enrico Meggiolaro

We note the differences between the Kovchegov equation and the Balitsky-JIMWLK equations as methods of evaluating high energy hard scattering near the unitarity limit. We attempt to simulate some of the correlations absent in the Kovchegov…

高能物理 - 唯象学 · 物理学 2008-11-26 A. H. Mueller , A. I. Shoshi