Structural Aspects Of Quantum Field Theory (In 2 Volumes) (eBook)
by GERHARD GRENSING (Author)

 382,671 Words
 896 Pages
This book is devoted to the subject of quantum field theory. It is divided into two volumes. The first can serve as a textbook on the main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.
The first volume is directed at graduate students who want to learn the basic facts about quantum field theory. It begins with a gentle introduction to classical field theory, including the standard model of particle physics, general relativity, and also supergravity. The transition to quantized fields is performed with path integral techniques, by means of which the oneloop renormalization of a selfinteracting scalar quantum field, of quantum electrodynamics, and the asymptotic freedom of quantum chromodynamics is treated. In the last part of the first volume, the application of path integral methods to systems of quantum statistical mechanics is covered. The book ends with a rather detailed investigation of the fractional quantum Hall effect, and gives a stringent derivation of Laughlin's trial ground state wave function as an exact ground state.
The second volume covers more advanced themes. In particular Connes' noncommutative geometry is dealt with in some considerable detail; the presentation attempts to acquaint the physics community with the substantial achievements that have been reached by means of this approach towards the understanding of the elusive Higgs particle. The book also covers the subject of quantum groups and its application to the fractional quantum Hall effect, as it is for this paradigmatic physical system that noncommutative geometry and quantum groups can be brought together.
Contents: Volume 1:
 Classical Relativistic Field Theory: Kinematical Aspects
 Classical Relativistic Field Theory: Dynamical Aspects
 Relativistic Quantum Field Theory: Operator Methods
 Nonrelativistic Quantum Mechanics: Functional Integral Methods
 Relativistic Quantum Field Theory: Functional Integral Methods
 Quantum Field Theory at Nonzero Temperature
 Volume 2:
 Symmetries and Canonical Formalism
 Gauge Symmetries and Constrained Systems
 Weyl Quantization
 Anomalies in Quantum Field Theory
 Noncommutative Geometry
 Quantum Groups
 Noncommutative Geometry and Quantum Groups
Readership: Graduate students and professionals in theoretical and mathematical physics.
 Released: May 21, 2013
 Categories: Education, Science & Nature
 Language: English
 Publisher: World Scientific Publishing Company
 ISBN10: 9814472719
 ISBN13: 9789814472715