Quantum Chromodynamics on the Lattice: An Introductory Presentation (Google eBook)

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Springer Science & Business Media, Oct 16, 2009 - Science - 343 pages
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Quantum chromodynamics (QCD) is the fundamental quantum ?eld theory of quarks and gluons. In order to discuss it in a mathematically well-de?ned way, the theory has to be regularized. Replacing space–time by a Euclidean lattice has proven to be an e?cient approach which allows for both theor- ical understanding and computational analysis. Lattice QCD has become a standard tool in elementary particle physics. Asthetitlealreadysays:thisbookisintroductory!Thetextisintendedfor newcomerstothe?eld,servingasastartingpoint.Wesimplywantedtohavea bookwhichwecanputintothehandsofanadvancedstudentfora?rstreading on lattice QCD. This imaginary student brings as a prerequisite knowledge of higher quantum mechanics, some continuum quantum ?eld theory, and basic facts of elementary particle physics phenomenology. In view of the wealth of applications in current research the topics p- sented here are limited and we had to make some painful choices. We discuss QCD but omit most other lattice ?eld theory applications like scalar th- ries, gauge–Higgs models, or electroweak theory. Although we try to lead the reader up to present day understanding, we cannot possibly address all on- ing activities, in particular concerning the role of QCD in electroweak theory. Subjects like glueballs, topological excitations, and approaches like chiral p- turbation theory are mentioned only brie?y. This allows us to cover the other topics quite explicitly, including detailed derivations of key equations. The ?eld is rapidly developing. The proceedings of the annual lattice conferences provide information on newer directions and up-to-date results.
  

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Contents

The path integral on the lattice
1
QCD on the lattice a first look
25
Pure gauge theory on the lattice
42
Numerical simulation of pure gauge theory
73
Fermions on the lattice
102
Hadron spectroscopy
123
Chiral symmetry on the lattice
157
Dynamical fermions
185
Symanzik improvement and RG actions
213
More about lattice fermions
243
Hadron structure
267
Temperature and chemical potential
300
Appendix
327
Index
337
Copyright

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About the author (2009)

Dr. Christian B. Lang lehrt und forscht als Professor f??r Theoretische Physik an der Universit??t Graz. Seine Arbeitsgebiete umfassen die Elementarteilchenphysik, Statistische Physik und Computational Physics. Dr. Norbert Pucker ist Professor f??r Theoretische Physik an der Karl-Franzens-Universit??t Graz mit den Schwerpunkten Energie und Umwelt.

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