Three gluon integral equation and odd C singlet Regge singularities in QCD

Kwieciński, J.; Praszałowicz, Michał

doi:10.1016/0370-2693(80)90909-0

Cited by 308 publications

(206 citation statements)

References 4 publications

Supporting

Mentioning

204

Contrasting

Order By: Relevance

“…If C(α) has a pole at α = α 0 , then its contribution to Φ(x) scales as x α 0 at small x. Consequently, requiring Φ(x) to be an eigenfunction ofq 3 and applying (8), one finds that C(α) should have two additional poles situated at α = α 0 ± 1 for any 2 Here we introduced the notation for the "hatted" operatorsL 2 jk that act on x and are related to…”

Section: Conformal Basis and Cyclic Symmetrymentioning

confidence: 99%

“…Till recently most of the activity has been concentrated around the leading Regge trajectory with the vacuum quantum numbers -the BFKL pomeron [1]. Perturbative QCD predicts also an existence of the object with the same quantum numbers except of the C parity -the odderon [2,3,4], which controls the energy behavior of the difference of the cross-sections, σ tot pp − σ tot pp ∼ s α O −1 , with α O being the odderon intercept. Contrary to the BFKL pomeron, the intercept of the odderon trajectory has been calculated only recently [5,6] which generated renewed interest in the subject [7,8,9].…”

Section: Introductionmentioning

confidence: 99%

“…In the perturbative QCD approach, the odderon appears as a compound state of three gluons bound together by a nontrivial QCD interaction [2]. The odderon wave function satisfies the Schrödinger equation with the effective QCD Hamiltonian H 3 describing quantum mechanical 3-body system with nearest neighbor interaction on a twodimensional plane of transverse gluon coordinates ρ = (x, y).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

New representation for the odderon wave function

Korchemsky¹,

Wosiek²

1999

Physics Letters B

View full text Add to dashboard Cite

New representation of the odderon wave function is derived, which is convergent in the whole impact parameter plane, and provides the analytic form of the quantization condition for the integral of motion q 3 . A new quantum number, triality, was identified independently in each sector. This, together with the choice of the conformal basis allows for simple calculation of eigenvalues of a wide class of operators.

show abstract

Section: Conformal Basis and Cyclic Symmetrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New representation for the odderon wave function

Korchemsky¹,

Wosiek²

1999

Physics Letters B

View full text Add to dashboard Cite

show abstract

“…In the dilutedilute limit it reproduces the linear BFKL equation [14][15][16] and its BKP extension [17,18]. Beyond the dilute limit, the Hamiltonian incorporates non-linear effects responsible for unitarization of scattering amplitudes.…”

Section: Introduction and Conclusionmentioning

confidence: 99%

NLO JIMWLK evolution unabridged

Kovner

Lublinsky

Mulian

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

In ref.[1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in α s . In the present paper we provide details of our original derivation, which was not reported in [1], and provide the Hamiltonian in the form appropriate for action on color singlet as well as color nonsinglet states. The rapidity evolution of the quark dipole generated by this Hamiltonian is computed and compared with the corresponding result of Balitsky and Chirilli [2]. We then establish the equivalence between the NLO JIMWLK Hamiltonian and the NLO version of the Balitsky's hierarchy [3], which includes action on nonsinglet combinations of Wilson lines. Finally, we present complete evolution equation for three-quark Wilson loop operator, thus extending the results of Grabovsky [4].

show abstract

“…The intercept of the pomeron trajectory, the BFKL pomeron, has been derived in the classic works of Balitski, Fadin, Kuryaev and Lipatov [1]. The next natural step is to find the intercept of the odderon trajectory, which however, turned out to be very difficult [2,3,4].…”

mentioning

confidence: 99%

A Solution of the Odderon Problem

1999

View full text Add to dashboard Cite

The intercept of the odderon trajectory is derived, by finding the spectrum of the second integral of motion of the three reggeon system in high energy QCD. When combined with earlier solution of the appropriate Baxter equation, this leads to the determination of the low lying states of that system. In particular, the energy of the lowest state gives the intercept of the odderon α O (0) = 1 − 0.2472α s N c /π.

show abstract

Three gluon integral equation and odd C singlet Regge singularities in QCD

Cited by 308 publications

References 4 publications

New representation for the odderon wave function

New representation for the odderon wave function

NLO JIMWLK evolution unabridged

A Solution of the Odderon Problem

Contact Info

Product

Resources

About