How Pomerons meet in coloured glass

Ewerz, Carlo; Schatz, V.

doi:10.1016/j.nuclphysa.2004.03.037

Cited by 15 publications

(11 citation statements)

References 51 publications

(161 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This program was formulated some time ago [67,68], and there is continuing progress in this direction (see e.g. [69,70]). …”

Section: The Pomeron Languagementioning

confidence: 99%

Quantum chromodynamics at high energy and statistical physics

Munier

2009

Physics Reports

View full text Add to dashboard Cite

When hadrons scatter at high energies, strong color fields, whose dynamics is described by quantum chromodynamics (QCD), are generated at the interaction point. If one represents these fields in terms of partons (quarks and gluons), the average number densities of the latter saturate at ultrahigh energies. At that point, nonlinear effects become predominant in the dynamical equations. The hadronic states that one gets in this regime of QCD are generically called ``color glass condensates''. Our understanding of scattering in QCD has benefited from recent progress in statistical and mathematical physics. The evolution of hadronic scattering amplitudes at fixed impact parameter in the regime where nonlinear parton saturation effects become sizable was shown to be similar to the time evolution of a system of classical particles undergoing reaction-diffusion processes. The dynamics of such a system is essentially governed by equations in the universality class of the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, which is a stochastic nonlinear partial differential equation. Realizations of that kind of equations (that is, ``events'' in a particle physics language) have the form of noisy traveling waves. Universal properties of the latter can be taken over to scattering amplitudes in QCD. This review provides an introduction to the basic methods of statistical physics useful in QCD, and summarizes the correspondence between these two fields and its theoretical and phenomenological implications.Comment: 92 pages, review paper. v2: a few mistakes corrected at various places, some parts clarified. To be published in Phys. Re

show abstract

“…This program was formulated some time ago [67,68], and there is continuing progress in this direction (see e.g. [69,70]). …”

Section: The Pomeron Languagementioning

confidence: 99%

Quantum chromodynamics at high energy and statistical physics

Munier

2009

Physics Reports

View full text Add to dashboard Cite

show abstract

“…This is known as extended GLLA (EGLLA) [11,12]. The vigorous program of solving the BKP equations in the large N c limit has been pursued in recent years by Lipatov and Korchemsky with collaborators [13], [14], [15], [16].The ideas put forward in [11] have been under intense investigation during the last decade or so [17,18,19,20,21,22,23,24,25]. The transition vertex between 2 and 4 reggeized gluons was derived in [11,12,19] and 2 → 6 in [20].…”

mentioning

confidence: 99%

Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution

Kovner

Lublinsky

2007

J. High Energy Phys.

View full text Add to dashboard Cite

We reinterpret the JIMWLK/KLWMIJ evolution equation as the QCD Reggeon field theory (RFT). The basic "quantum Reggeon field" in this theory is the unitary matrix R which represents the single gluon scattering matrix. We discuss the peculiarities of the Hilbert space on which the RFT Hamiltonian acts. We develop a perturbative expansion in the RFT framework, and find several eigenstates of the zeroth order Hamiltonian. The zeroth order of this perturbation preserves the number of s -channel gluons. The eigenstates have a natural interpretation in terms of the t -channel exchanges. Studying the single s -channel gluon sector we find the eigenstates which include the reggeized gluon and five other colored Reggeons. In the two (s -channel) gluon sector we study only singlet color exchanges. We find five charge conjugation even states. The bound state of two reggeized gluons is the standard BFKL Pomeron. The intercepts of the other Pomerons in the large N limit are 1 + ω P = 1 + 2ω where 1 + ω is the intercept of the BFKL Pomeron, but their coupling in perturbation theory is suppressed by at least 1/N 2 relative to the double BFKL Pomeron exchange. For the [27,27] Pomeron we find ω [27,27] = 2ω + O(1/N ) > 2ω. We also find three charge conjugation odd exchanges, one of which is the unit intercept Bartels-Lipatov-Vacca Odderon, while another one has an interecept greater than unity. We explain in what sense our calculation goes beyond the standard BFKL/BKP calculation. We make additional comments and discuss open questions in our approach. QCD Lagrangian and thus to obtain RFT from first principles as a bona fide high energy limit of the theory of strong interactions. Despite significant progress this goal has not been achieved yet. Although various elements of RFT in QCD have been available for some time, a coherent formulation of RFT is still not at hand.The study of high energy limit in QCD began with the derivation of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron [4], which was obtained as an infinite sum of perturbative diagrams computed in the leading logarithmic approximation (LLA). The key element of the BFKL theory is the concept of gluon reggeization, which is proven both in leading order (LO) [5,6] and next to leading order (NLO) [7]. In particular, the BFKL Pomeron is understood as a "bound state" of two reggeized gluons in the t-channel.The BFKL Pomeron has an intercept greater than unity and leads to scattering amplitudes that grow as a power of energy, hence violating the s-channel unitarity. It was shortly realized that in order to restore unitarity, which undoubtedly has to be satisfied by the full QCD amplitudes, one needs to consider t-channel states with more than just two reggeized gluons. This was put forward by Bartels [8] and is today known as generalized leading log approximation (GLLA). The important milestone result was a derivation of the BKP equation, which governs (perturbative) high energy evolution of an amplitude due to an exchange of an arbitrary but fixed number of reggeized gluon...

show abstract

“…In the resummation approach the three-Pomeron vertex V 3È is obtained from the effective two-to-four gluon vertex V 2→4 by projecting the four outgoing gluons onto a pair of BFKL Pomerons [22,23]. The four-Pomeron vertex V 4È has been calculated from the two-to-six gluon vertex V 2→6 in a similar way in [24]. Note that a four-Pomeron vertex has also been obtained in the approach based on the expansion of Wilson lines in [25], but its relation to the vertex V 4È has not yet been studied.…”

Section: Conformal Bootstrap For Pomeron Verticesmentioning

confidence: 99%

Diffraction, the Color Glass Condensate and String Theory

Bittig

Ewerz

2005

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

We explain the main ideas of the color glass condensate in high energy collisions. Different approaches to the problem are outlined with emphasis on the resummation approach. We present evidence that the color glass condensate can be described by an effective conformal field theory or even by a string theory.Comment: 6 pages, Invited talk presented by C. Ewerz at Baryons 04, Palaiseau, October 2004; v2: reference correcte

show abstract

How Pomerons meet in coloured glass

Cited by 15 publications

References 51 publications

Quantum chromodynamics at high energy and statistical physics

Quantum chromodynamics at high energy and statistical physics

Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution

Diffraction, the Color Glass Condensate and String Theory

Contact Info

Product

Resources

About