Field Theories for Low-Dimensional Condensed Matter Systems

1. Front Matter

   Pages I-XII

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2. Introduction

   • Giuseppe Morandi, Pasquale Sodano, Arturo Tagliacozzo, Valerio Tognetti

   Pages 1-7

3. Fermi Liquids and Luttinger Liquids

   • Heinz J. Schulz, Gianaurelio Cuniberti, Pierbiagio Pieri

   Pages 9-81

4. Quantum Number Fractionalization in Antiferromagnets

   • Robert B. Laughlin, Domenico Giuliano, Raffaele Caracciolo, Olivia L. White

   Pages 83-115

5. Conformal Field Theory Approach to Quantum Impurity Problems

   • Ian Affleck

   Pages 117-141

6. Quantum Magnetism Approaches to Strongly Correlated Electrons

   • Assa Auerbach, Federico Berruto, Luca Capriotti

   Pages 143-170

7. Introduction to Some Common Topics in Gauge Theory and Spin Systems

   • Gianluca Grignani, Gordon W. Semenoff

   Pages 171-233

8. Quantum Chaos and Transport in Mesoscopic Systems

   • Boris L. Altshuler, Cristiano Biagini, Marco Patriarca

   Pages 235-269

9. Back Matter

   Pages 271-279

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This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen­ sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.

• Condensed-matter theory
• Field theory
• Gauge theory
• Lower dimensional Systems
• Mathematical physics
• liquid
• quantum chaos

If you are a researcher in theoretical physics with a background in field theory and condensed matter physics, you will find this book a delight. It contains what a good book should offer: the right insight presented by person with taste for relevance…In my opinion, even if one knows the subject, it pays to have a look at the book since one can find the personal touch of people who made major contributions to the subject.

-Vladimir Rittenberg

Department of Mathematics and Statistics

University of Melbourne

• Physics Department, University of Bologna, Bologna, Italy

  Giuseppe Morandi

• Physics Department, University of Perugia, Perugia, Italy

  Pasquale Sodano

• Physics Department, University of Naples “Federico II”, Naples, Italy

  Arturo Tagliacozzo

• Physics Department, University of Florence, Florence, Italy

  Valerio Tognetti

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