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Quantum Field Theory: From Operators to Path Integrals

Quantum Field Theory: From Operators to Path Integrals

Kerson Huang

ISBN: 978-3-527-61738-8

Sep 2008

446 pages

Select type: E-Book



A unique approach to quantum field theory, with emphasis on the principles of renormalization Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman graphs, before moving on to key topics such as functional integrals, statistical mechanics, and Wilson's renormalization group. The connection between the latter and conventional perturbative renormalization is explained.

Quantum Field Theory is an exceptional textbook for graduate students familiar with advanced quantum mechanics as well as physicists with an interest in theoretical physics. It features:
* Coverage of quantum electrodynamics with practical calculations and a discussion of perturbative renormalization
* A discussion of the Feynman path integrals and a host of current subjects, including the physical approach to renormalization, spontaneous symmetry breaking and superfluidity, and topological excitations
* Nineteen self-contained chapters with exercises, supplemented with graphs and charts
Introducing Quantum Fields.

Scalar Fields.

Relativistic Fields.

Canonical Formalism.

Electromagnetic Field.

Dirac Equation.

The Dirac Field.

Dynamics of Interacting Fields.

Feynman Graphs.

Vacuum Correlation Functions.

Quantum Electrodynamics.

Processes in Quantum Electrodynamics.

Perturbative Renormalization.

Path Integrals.

Broken Symmetry.


The Gaussian Fixed Point.

In Two Dimensions.

Topological Excitations.