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Quantum Field Theory: From Operators to Path Integrals

ISBN: 978-3-527-40846-7
438 pages
April 2010
Quantum Field Theory: From Operators to Path Integrals (3527408460) cover image
A new, updated and enhanced edition of the classic work, which was welcomed for its general approach and self-sustaining organization of the chapters.
Written by a highly respected textbook writer and researcher, this book has a more general scope and adopts a more practical approach than other books. It includes applications of condensed matter physics, first developing traditional concepts, including Feynman graphs, before moving on to such key topics as functional integrals, statistical mechanics and Wilson's renormalization group. The author takes care to explain the connection between the latter and conventional perturbative renormalization. Due to the rapid advance and increase in importance of low dimensional systems, this second edition fills a gap in the market with its added discussions of low dimensional systems, including one-dimensional conductors.
All the chapters have been revised, while more clarifying explanations and problems have been added. A FREE SOLUTIONS MANUAL is available for lecturers from www.wiley-vch.de/textbooks.
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1. Introducing Quantum Fields
2. Scalar Fields
3. Relativistic Fields
4. Canonical Formalism
5. Electromagnetic Field
6. Dirac Equation
7. The Dirac Field
8. Dynamics of Interacting Fields
9. Feynman Graphs
10. Vacuum Correlation Functions
11. Quantum Electrodynamics
12. Processes in Quantum Electrodynamics
13. Perturbative Renormalization
14. Path Integrals
15. Broken Symmetry
16. Renormalization
17. The Gaussian Fixed Point
18. In Two Dimensions
19. Topological Excitations
Appendix A. Background Material
Appendix B. Superfluidity
Appendix C. Polchinski's Renormalization Equation
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Kerson Huang is Professor of Physics at the Massachusetts Institute of Technology, Cambridge, USA, and a leading authority on quantum physics. He is a highly experienced textbook writer and has written (among other books) Statistical Mechanics, also published by Wiley. Professor Huang?s research interests focus on Bose-Einstein condensates and non-renormalizable theories.
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"The description of low dimensional systems, e.g. one-dimensional conductors, is added. Moreover, in the appendix C, Polchinski's renormation equation is derived, solved and applied to the asymptotically free scalar field." (Zentralblatt MATH, 2010)

"Written by a highly respected textbook writer and researcher, this book has a more general scope and adopts a more practical approach than other books." (ETDE - Energy Database, 2010)
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