Field theories of condensed matter physics. 2nd ed.

*(English)*Zbl 1278.82001
Cambridge: Cambridge University Press (ISBN 978-0-521-76444-5/hbk; 978-1-107-30214-3/ebook). xvi, 838 p. (2013).

Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and to string theorists, as well as mathematicians.

The first edition was essentially based on the course “Physics of strongly correlated systems” given at the University of Illinois at Urbana-Champaign during the Fall of 1989. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

The first edition was essentially based on the course “Physics of strongly correlated systems” given at the University of Illinois at Urbana-Champaign during the Fall of 1989. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

Reviewer: Nenad ManojloviÄ‡ (Faro)