Quantum Field Theory Of Many-body Systems: From the Origin of Sound to an Origin of Light and…

Paperback | September 7, 2007

byXiao-Gang Wen

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For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons andfermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods(which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phasetransitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group,bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matterphysics.

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From the Publisher

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons andfermions, and string condensation. These new phy...

Xiao-Gang Wen is in the Department of Physics at the Massachusetts Institute of Technology.
Format:PaperbackDimensions:512 pages, 9.45 × 6.61 × 0.98 inPublished:September 7, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019922725X

ISBN - 13:9780199227259

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Table of Contents

1. Introduction2. Path integral formulation of quantum mechanics3. Interacting boson systems4. Free fermion systems5. Interacting fermion systems6. Quantum gauge theories7. Theory of quantum hall states8. Topological and quantum order9. Mean-field theory of spin liquid and quantum order10. String condensation - an origin of light and fermions

Editorial Reviews

`Review from previous edition As a whole, Quantum Field Theory of Many-Body Systems is an inspirational and forward-looking book exploring the mysteries and neverending wonders of many-particle quantum mechanics...Wen's book offers a refreshing new look at the mysterious quantum world.'Physics Today, November 2005