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Deep Inelastic Scattering$
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Robin Devenish and Amanda Cooper-Sarkar

Print publication date: 2003

Print ISBN-13: 9780198506713

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198506713.001.0001

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QCD and formal methods

QCD and formal methods

Chapter:
(p.35) 3 QCD and formal methods
Source:
Deep Inelastic Scattering
Author(s):

Robin Devenish

Amanda Cooper-Sarkar

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198506713.003.0003

This chapter begins with a brief introduction to quantum chromodynamics (QCD), highlighting the similarities and differences with quantum electrodynamics (QED). QCD gives a non-linear force that confines quarks inside hadrons at large distances but is weak at short distances, thus providing justification for the simple QPM. Essential ‘tree-level’ diagrams are evaluated using the corresponding QED processes and QCD colour factors. The problems of infrared and ultraviolet divergences in both QED and QCD are outlined, with emphasis on the physical ideas underlying their resolution. This leads on to the idea of a running coupling. The rest of the chapter is concerned with an outline of the operator product expansion, which is the more formal method used to derive many results used in the QCD-enhanced parton model. Finally, the crucial idea of factorization — the calculation of a DIS cross-section by convolution of a point-like cross-section with parton momentum densities — is introduced.

Keywords:   QCD, QED, tree-level diagrams, colour factors, running coupling, operator product expansion, factorization

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