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Durham University

Centre for Particle Theory

Quantum Chromodynamics

16 Lectures Dr. S. Badger

Quantum Chromodynamics (QCD) is the theory of the strong interaction, one of the four fundamental forces of nature. It describes the interactions between quarks and gluons, and in particular how they bind together to form hadrons. In this `long-distance' regime the effective coupling is large and non-perturbative methods are appropriate. In contrast, at short distances the coupling between quarks and gluons is small, and perturbation theory can be used to make quantitative predictions that can be tested directly in experiment.

The course focuses on perturbative QCD and its applications in modern high-energy physics. After a general description of the QCD Lagrangian and its symmetries, the crucial properties of asymptotic freedom and colour confinement are derived. The remainder of the course covers various phenomenological applications: e+e- physics, which leads to the theory of quark and gluon jets; deep inelastic scattering, where perturbative QCD extends and refines the ideas of the original `naive' parton model; and finally hadron colliders, where QCD provides many important backgrounds to new physics and where the ability to make precision predictions is paramount.

Outline of the course

Gauge invariance, Feynman rules, colour algebra, IR and UV divergences.
Applications in high-energy collider physics: perturbative corrections and jet physics in in e+e- annihilation.
The parton model; hard scattering processes at present and future hadron-hadron colliders.

Books for the course

M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, (Addison Wesley 1995)
F. Halzen and A.D. Martin, Quarks and Leptons (Wiley, 1984)
R. K. Ellis, W. J. Stirling & B. R. Webber, QCD and Collider Physics, (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology, 1996)
J. M. Campbell, J. W. Huston and W. J. Stirling, Hard Interactions of Quarks and Gluons: A Primer for LHC Physics, Rept Prog. Phys. 70 (2007) 89;