By Yuri V. Kovchegov
Filling a spot within the present literature, this booklet is the 1st totally devoted to
high strength quantum chromodynamics (QCD) together with parton saturation and the
color glass condensate (CGC). It provides groundbreaking development at the topic and
describes many difficulties on the leading edge of study, bringing postgraduate students,
theorists, and experimentalists brand new with the present country of research
in this field.
The fabric is gifted in a pedagogical method, with various examples and
exercises. dialogue levels from the quasi-classical McLerran–Venugopalan model
to the linear BFKL and nonlinear BK/JIMWLK small-x evolution equations. The
authors undertake either a theoretical and an experimental outlook, and current the physics
of powerful interactions in a common manner, making it helpful for physicists from various
subcommunities of excessive strength and nuclear physics, and acceptable to processes
studied in any respect excessive strength accelerators worldwide. a variety of colour figures
is to be had on-line at www.cambridge.org/9780521112574.
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Extra info for Quantum Chromodynamics at High Energy
55) 2 2 1 x ≈ − ≈ ≥ , |q | mxBj μ + where μ ∼ QCD ∼ m is the scale of the nonperturbative (soft) QCD interactions, which gives the average transverse momenta of the partons in the parton model. From Eq. 55) we see that, for large Q, one has x − = t − z ≈ 0 and x + = t + z ≈ 2t ≈ 2/(mxBj ). Therefore the light cone time of observation is given by x+ ≈ 2 . 56) This time is known as the Ioffe time (Ioffe 1969, Gribov, Ioffe, and Pomeranchuk 1966). It can be interpreted as the typical longitudinal distance of the interaction (the coherence length).
002 Cambridge Books Online © Cambridge University Press, 2013 2 Deep inelastic scattering In this chapter we present the cornerstones of perturbative QCD: the parton model of deep inelastic scattering (DIS) and the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations. There exists an extensive literature covering these subjects using Lorentz-covariant Feynman diagram techniques (see the further reading section at the end of the chapter). Here we deviate from the traditional treatment and derive both the parton model and the DGLAP equations using light cone perturbation theory (LCPT).
When used in Eq. 48) it leads to Eq. 46). One can easily express the structure functions in terms of the photon–proton cross section γ ∗p for transverse and longitudinal polarizations of the virtual photon. In particular one σ obtains (see Halzen and Martin (1984) along with the derivation in Sec. 175 on Tue Apr 09 19:09:54 WEST 2013. 49) 38 Deep inelastic scattering γ ∗p where σtot is the total γ ∗ p cross section summed over all photon polarizations. With the help of Eq. 49), Eq. 50) f where N f (y = ln 1/xBj ) = xBj q f (xBj ) is the number of partons (quarks) inside the hadron ∗ having flavor f per unit rapidity y = ln(P + /k + ) = ln 1/xBj .