On the probabilistic interpretation of the evolution equations with pomeron loops in QCD

Iancu, Edmond; Soyez, Grégory; Triantafyllopoulos, D.N.

doi:10.1016/j.nuclphysa.2006.01.013

Cited by 35 publications

(26 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, saturation is not included in the original dipole model. Nevertheless, as argued in Section II, the asymptotic properties are not affected by the details on how we implement the condition (21). The simplest choice is to veto splittings that would locally drive the amplitude to values larger than 1.…”

Section: Saturationmentioning

confidence: 99%

“…Ref. [21]). It is sometimes seen as a progressive slowing down of the dipole emission rate once the local density is of the order of 1/α 2 s [5,22].…”

Section: A Scattering In the Dipole Modelmentioning

confidence: 99%

“…It is sometimes seen as a progressive slowing down of the dipole emission rate once the local density is of the order of 1/α 2 s [5,22]. It could also be recombination of dipoles, which corresponds to the reabsorption of gluons [21], or some form of colour reconnection ("swings") among the constituent gluons of the dipoles [18]. But the very nature of the mechanism is not crucial to our discussion, and when building our toy model, we pick the simplest one to implement numerically.…”

Section: A Scattering In the Dipole Modelmentioning

confidence: 99%

See 2 more Smart Citations

Traveling waves and impact-parameter correlations

2008

Self Cite

View full text Add to dashboard Cite

It is usually assumed that the high-energy evolution of partons in QCD remains local in coordinate space. In particular, fixed impact-parameter scattering is thought to be in the universality class of one-dimensional reaction-diffusion processes as if the evolutions at different points in the transverse plane became uncorrelated through rapidity evolution. We check this assumption by numerically comparing a toy model with QCD-like impact-parameter dependence to its exact counterpart with uniform evolution in impact-parameter space. We find quantitative differences, but which seem to amount to a mere rescaling of the strong coupling constant. Since the rescaling factor does not show any strong αs-dependence, we conclude that locality is well verified, up to subleading terms at small αs.

show abstract

Section: Saturationmentioning

confidence: 99%

“…Ref. [21]). It is sometimes seen as a progressive slowing down of the dipole emission rate once the local density is of the order of 1/α 2 s [5,22].…”

Section: A Scattering In the Dipole Modelmentioning

confidence: 99%

Section: A Scattering In the Dipole Modelmentioning

confidence: 99%

See 1 more Smart Citation

Traveling waves and impact-parameter correlations

2008

Self Cite

View full text Add to dashboard Cite

show abstract

“…This is actually very similar to what happens in the full model. In that case the integral over the proposed 2 → 1 vertex has to be zero, which implies that the vertex cannot be positive definite, as was noted in [19]. We can also try to add another vertex such that the total contribution to the t 2 term cancels.…”

Section: Evolution Equationsmentioning

confidence: 98%

On the dipole swing and the search for frame independence in the dipole model

Avsar

2007

J. High Energy Phys.

View full text Add to dashboard Cite

Small-x evolution in QCD is conveniently described by Mueller's dipole model which, however, does not include saturation effects in a way consistent with boost invariance. In this paper we first show that the recently studied zero and one dimensional toy models exhibiting saturation and explicit boost invariance can be interpreted in terms positive definite k → k + 1 dipole vertices. Such k → k + 1 vertices can in the full model be generated by combining the usual dipole splitting with k − 1 simultaneous dipole swings. We show that, for a system consisting of N dipoles, one needs to combine the dipole splitting with at most N − 1 simultaneous swings in order to generate all colour correlations induced by the multiple dipole interactions.

show abstract

“…refs. [9,10] Filled circles are data from ZEUS [12] while filled [11] and open [13] squares are data from H1.…”

Section: Finite N C Effects In Dipole Languagementioning

confidence: 99%

Energy conservation and pomeron loops in high energy evolution

Gustafson¹

2007

Braz. J. Phys.

View full text Add to dashboard Cite

We present a formalism which modifies the Mueller Dipole Model such that it incorporates energymomentum conservation as well as important colour suppressed effects in the cascade evolution. The formalism is implemented in a Monte Carlo simulation program, and the results are compared to inclusive data from HERA and the Tevatron. We here find a generally very good agreement between our model and the experimental data.

show abstract

On the probabilistic interpretation of the evolution equations with pomeron loops in QCD

Cited by 35 publications

References 70 publications

Traveling waves and impact-parameter correlations

Traveling waves and impact-parameter correlations

On the dipole swing and the search for frame independence in the dipole model

Energy conservation and pomeron loops in high energy evolution

Contact Info

Product

Resources

About