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Quantum ChromodynamicsHigh Energy Experiments and Theory$
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Günther Dissertori, Ian G. Knowles, and Michael Schmelling

Print publication date: 2009

Print ISBN-13: 9780199566419

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199566419.001.0001

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The Theory Of QCD

The Theory Of QCD

Chapter:
(p.25) 3 The Theory Of QCD
Source:
Quantum Chromodynamics
Author(s):

GÜNTHER DISSERTORI

IAN G. KNOWLES

MICHAEL SCHMELLING

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199566419.003.0003

This chapter begins with the formal derivation of QCD as a gauge theory based on the symmetry group SU(3). It then describes the basic reactions of lepton-lepton, lepton-hadron, and hadron-hadron scattering in the language of QCD, and derives the born-level expressions for the basic QCD cross-sections. The chapter addresses the issue of ultraviolet divergences and renormalization. It discusses the renormalization group equations and the issue of infrared-safety in the context of the QCD improved parton model. The treatment of soft gluons then leads naturally to the various hadronization models, which form the basis of the Monte Carlo models discussed in the following chapter.

Keywords:   SU(3) gauge theory, born-level calculations, splitting kernel, DGLAP evolution, BFKL evolution, ultraviolet divergences, renormalization, infrared-safety, renormalization group

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