31,577 research outputs found
The Real Corrections to the Gamma* Impact Factor: First Numerical Results
We have performed analytically the transverse momentum integrations in the
real corrections to the longitudinal \gamma^*_L impact factor and carried out
numerically the remaining integrations. I outline the analytical integration
and present the numerical results: we have performed a numerical test and
computed those parts of the impact factor that depend upon the energy scale
s_0.Comment: 4 pages, 3 figures, to appear in proceedings of "DIS 2004", XII
International Workshop on Deep Inelastic Scattering (April 2004, Strbske
Pleso, Slovakia
Properties of a family of n reggeized gluon states in multicolour QCD
A general relation between families of (n+1) gluon and n gluon eigenstates of
the BKP evolution kernels in the multicolour limit of QCD is derived. It allows
to construct an (n+1) gluon eigenstate if an n gluon eigenstate is known; this
solution is Bose symmetric and thus physical for even n. A recently found
family of odderon solutions corresponds to the particular case n=2.Comment: 11 pages, 1 figur
Conformal Invariance of Unitarity Corrections
We study perturbative unitarity corrections in the generalized leading
logarithmic approximation in high energy QCD. It is shown that the
corresponding amplitudes with up to six gluons in the t-channel are conformally
invariant in impact parameter space. In particular we give a new representation
for the two-to-six reggeized gluon vertex in terms of conformally invariant
functions. With the help of this representation an interesting regularity in
the structure of the two-to-four and the two-to-six transition vertices is
found.Comment: 11 page
A New Odderon Solution in Perturbative QCD
We present and discuss a new bound state solution of the three gluon system
in perturbative QCD. It carries the quantum numbers of the odderon, has
intercept at one and couples to the impact factor .Comment: 11 pages, latex, 1 figur
Pomeron Vertices in Perturbative QCD in Diffractive Scattering
We analyse the momentum space triple Pomeron vertex in perturbative QCD. In
addition to the standard form of this vertex which is used in the context of
total cross-sections at high energies and in the QCD reggeon field theory,
there exists an alternative form which has to be used in the study of high-mass
diffraction. We review and analyse the relation between these two versions. We
discuss some implications for the BK-equation. In the second part of our paper
we extend this analysis to the Pomeron-Odderon-Odderon vertex.Comment: 23 pages, 5 figures, Late
Small x evolution: BFKL vs Dipole Picture
The relation between the two approaches is discussed both in the linear and
nonlinear regimes. It is connected to the gauge invariance and Moebius symmetry
in LL perturbative QCD. First corrections beyond the large N approximation are
discussed for the nonlinear case.Comment: 4 pages, 1 figure; Proceedings of Diffraction 2004, 13-18 september
2004, Cala Gonone, Sardinia, Ital
The C-Odd Four-Gluon State in the Color Glass Condensate
The study of the perturbative Odderon at high gluon densities in the color
glass condensate requires to take into account states with more than three
gluons. We formulate evolution equations for these states in which the number
of gluons is not fixed during the evolution. We further determine the coupling
of these Odderon states to the gamma to eta_c impact factor for arbitrary
numbers of gluons. We find an exact solution of the evolution equation for the
four-gluon Odderon state in terms of the three-gluon Odderon state. It is shown
that a similar solution exists also for a different class of Odderon solutions
which does not couple to the gamma to eta_c impact factor. We discuss the
implications of our result from the perspective of constructing an effective
field theory of reggeized gluons for the color glass condensate.Comment: 32 pages; v2: references, comments and one equation adde
Odderon with a running coupling constant
The running coupling is introduced into the equation for the odderon via the
bootstrap relation. It is shown that the previously found odderon state with a
maximal intercept, which is constructed from antisymmetric pomeron wave
function, continues to exist in the running coupling case. Its intercept is
found to remain equal to unity independent of the behaviour assumed for the
running coupling at low momenta.Comment: 9 pages, LaTe
AGK Cutting Rules and Multiple Scattering in Hadronic Collisions
We discuss the AGK rules for the exchange of an arbitrary number of reggeized
gluons in perturbative QCD in the high energy limit. Results include the
cancellation of corrections to single jet and double jet inclusive cross
sections, both for hard and soft rescattering contributions.Comment: 31 pages, latex, 20 figure
Elements of a field theory of unitarity corrections
I explain the motivation for investigating the high energy limit of QCD and
give a brief presentation of recent progress in the understanding of unitarity
corrections in this kinematic regime. Special emphasis is given to the
conformal field theory structure discovered in these unitarity corrections.Comment: 4 pages, Talk presented at 7th International Workshop on Deep
Inelastic Scattering, Zeuthen, Germany, April 199
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