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 result

These lectures are intended for graduate students and researchers studying methods for the prediction of properties of elementary particles. Today's theory does not allow ab initio computation of all properties of particles like leptons and quarks. However, the understanding of the standard model, and in particular of QCD, has reached a state where many features can be computed from the theory with little further input, at least to some approximation. A summary of the state of the art for these quantities is also given from the phenomenological point of view.

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 result

(Autor) Christian Lang / Norbert Pucker (Titel) Mathematische Methoden in der Physik (HL) Die gesamte Mathematik fur Physiker in einem Band! (USP) > didaktisch hervorragend, mathematisch exakt > in der 2. Auflage deutlich erweitert (copy) Das vorliegende Buch ist fur Studenten in den ersetn Semestern gedacht. Es soll mit den wichtigsten mathematischen Konzepten vertraut machen und moeglichst schnell eine entsprechende Gelaufigkeit in ihrer Anwendung vermitteln. Als Vorlesungsunterlage entspricht das Buch einer dreisemestrigen Vorlesung mit UEbungen. Durhc die Erlauterung anhand von Beispielen ist das Buch auch gut geeignet fur das Selbststudium. Die 2. Auflage ist um die Kapitel Gruppentheorie, Variationsrechnung und Differenzialformen erweitert. (Biblio) 2. Aufl. 2005. 720 S., 178 Abb., geb. EURO 45,- / sfr 72,- ISBN 3-8274-1558-6 (Stoerer) neu!