Quantum Field Theory and Condensed Matter: An Introduction (Cambridge Monographs on Mathematical Physics) - Hardcover

Shankar, Ramamurti

Hardcover

ISBN 10: 0521592100 ISBN 13: 9780521592109

Publisher: Cambridge University Press, 2017

Synopsis

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect.  Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

About this title

Book Description

This book provides a broad review of the application of quantum field theory to condensed matter systems. A number of important techniques in condensed matter theory are illustrated by describing key problems, including renormalization group, bosonization and path integrals. This book is invaluable for graduate students and researchers interested in theoretical, statistical and condensed matter physics.

About the Author

Ramamurti Shankar is the John Randolph Huffman Professor of Physics at Yale University, Connecticut, with a research focus in theoretical condensed matter physics. He has held positions at the Aspen Center for Physics, the American Physical Society and the American Academy of Arts and Sciences. He has also been a Visiting Professor at several universities including Massachusetts Institute of Technology, Princeton University, New Jersey, University of California, Berkeley and Indian Institute of Technology, Madras. Recipient of both the Harwood Byrnes and Richard Sewell Teaching Prize at Yale University (2005) and the Julius Edgar Lilienfeld Prize of the American Physical Society (2009), he has also authored several books: Principles of Quantum Mechanics (1994), Basic Training in Mathematics (2008), and Fundamentals of Physics Volume I and Volume II (2014 and 2016).

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• ISBN 10: 0521592100
• ISBN 13: 9780521592109
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 450