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ADS1293CISQX/NOPB 其他数据使用手册 - TI（德州仪器）
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低功耗，三通道， 24位模拟前端的生物电位测量 Low Power, 3-Channel, 24-Bit Analog Front End for Biopotential Measurements
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Saturation in Deep Inelastic Scattering
from AdS/CFT
Lorenzo Cornalba
a
, Miguel S. Costa
b
a
Centro Studi e Ricerche E. Fermi
Compendio Viminale, I-00184, Roma
Universit`a di Milano-Bicocca and INFN, sezione di Milano-Bicocca
Piazza della Scienza 3, I-20126 Milano, Italy
b
Departamento de F´ısica e Centro de F´ısica do Porto,
Faculdade de Ciˆencias da Universidade do Porto,
Rua do Campo Alegre 687, 4169-007 Porto, Portugal
Lorenzo.Cornalba@mib.infn.it, miguelc@fc.up.pt
Abstract
We analyze deep inelastic scattering at small Bjorken x, using the ap-
proximate conformal invariance of QCD at high energies. Hard pomeron
exchanges are resummed eikonally, restoring unitarity at large values of
the phase shift in the dual AdS geometry. At weak coupling this phase is
imaginary, corresponding to a black disk in AdS. In this saturated regime,
cross sections exhibit geometric scaling and have a simple universal form,
which we test against available experimental data for the proton structure
function F
2
`
x, Q
2
´
. We predict, in particular, the dependence of the cross
section on the scaling variable (Q/Q
s
)
2
in the deeply saturated region,
where Q
s
is the usual saturation scale. We find agreement with current
data on F
2
in the kinematical region 0.5 < Q
2
< 10 GeV
2
, x < 10
−2
,
with an average 6% accuracy. We conclude by discussing the relation of
our approach with the commonly used dipole formalism.
1 Introduction
The high energy behavior of QCD is greatly simplified by the asymptotic weak-
ness of the coupling and the approximate conformal invariance of the theory. Of
great interest, in this respect, is the study of interaction processes in the Regge
limit of high center of mass energy, with the other kinematical invariants kept
fixed. This kinematical regime is, for instance, relevant to the analysis of deep
inelastic scattering (DIS) experiments at fixed photon virtuality Q
2
in the limit
of vanishing Bjorken x.
1
arXiv:0804.1562v3 [hep-ph] 19 Mar 2009
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