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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Ramamurti Shankar |

ISBN: | 9781139044349 1139044346 |

OCLC Number: | 1004621363 |

Description: | 1 online resource (xiv, 439 pages) |

Contents: | Thermodynamics and statistical mechanics review -- Ising model in d = 0 and d = 1 -- Statistical to quantum mechanics -- Quantum to statistical mechanics -- Feynman path integral -- Coherent state path integrals for spins, bosons and fermions -- The two-dimensional Ising model -- Exact solution of the two-dimensional Ising model -- Majorana fermions -- Gauge theories -- The renormalization group -- Critical phenomena: the puzzle and resolution -- RG for the [phi]4 model -- Two views of renormalization -- RG for non-relativistic fermions: I -- RG for non-relativistic fermions: II -- Bosonization I: the fermion-boson dictionary -- Bosonization II: selected applications -- Duality and triality -- Techniques for the QHE. |

Series Title: | Cambridge monographs on mathematical physics. |

Responsibility: | R. Shankar, Yale University, Connecticut. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

'The study of minimally complicated models is ... central to the field of condensed-matter physics. Those models, and the tools needed to understand them, are the subject of Ramamurti Shankar's new book, Quantum Field Theory and Condensed Matter: An Introduction. What is different about Shankar's text? For one thing, it is shorter [than his competitors]. Accordingly, Shankar's book is less ambitious in its aim and more selective in its content. That makes it both a more introductory text and a friendlier read. It will be a good textbook for a one-semester first-year graduate course.' Mike Stone, Physics Today '[The book] provides a broad review of many different techniques and models used daily in the theoretical condensed matter community. The presentation is done in a quite individual and elegant way ... the book can be used self-consistently as a source for an advanced statistical mechanics course at the master degree level ... Shankar covers a wide variety of models ranging from the celebrated classical two-dimensional Ising model ... to the XY model and Zq gauge theories, and finally to models developed for the quantum Hall effect such as the Bohm-Pines or Chern-Simons theories. In the middle of the book, there are six chapters giving an extensive survey on the renormalization group theory (a book within a book, as Daniel Arovas wrote) and two self-contained chapters dealing with bosonization. Again, here, these chapters may be used self-consistently in order to teach the material.' Acta Crystallographica Section A: Foundations Advances 'Since the Nobel Prize-winning work of Ken Wilson in the 1970s, quantum field theory has been a fundamental tool in condensed matter theory ... Shankar presents more than enough material for a one- or two-semester course, and the book could be used to teach at a variety of levels. There is a substantial amount of classic material: the Ising model and critical phenomena, the relation of the Feynman path integral to statistical mechanics, and the renormalization group. The text ventures beyond these, with treatments of coherent state path integrals, gauge theories, duality, and bosonization. Topics of great modern importance include Majorana fermions and the quantum Hall effect. It is notable that both the Lagrangian and Hamiltonian forms of lattice models are treated. This clear, authoritative text should be available at any institution where modern condensed matter physics is studied.' M. C. Ogilvie, Choice 'The study of minimally complicated models is ... central to the field of condensed-matter physics. Those models, and the tools needed to understand them, are the subject of Ramamurti Shankar's new book, Quantum Field Theory and Condensed Matter: An Introduction. What is different about Shankar's text? For one thing, it is shorter [than his competitors]. Accordingly, Shankar's book is less ambitious in its aim and more selective in its content. That makes it both a more introductory text and a friendlier read. It will be a good textbook for a one-semester first-year graduate course.' Mike Stone, Physics Today '[The book] provides a broad review of many different techniques and models used daily in the theoretical condensed matter community. The presentation is done in a quite individual and elegant way ... the book can be used self-consistently as a source for an advanced statistical mechanics course at the master degree level ... Shankar covers a wide variety of models ranging from the celebrated classical two-dimensional Ising model ... to the XY model and Zq gauge theories, and finally to models developed for the quantum Hall effect such as the Bohm-Pines or Chern-Simons theories. In the middle of the book, there are six chapters giving an extensive survey on the renormalization group theory (a book within a book, as Daniel Arovas wrote) and two self-contained chapters dealing with bosonization. Again, here, these chapters may be used self-consistently in order to teach the material.' Acta Crystallographica Section A: Foundations Advances 'Since the Nobel Prize-winning work of Ken Wilson in the 1970s, quantum field theory has been a fundamental tool in condensed matter theory ... Shankar presents more than enough material for a one- or two-semester course, and the book could be used to teach at a variety of levels. There is a substantial amount of classic material: the Ising model and critical phenomena, the relation of the Feynman path integral to statistical mechanics, and the renormalization group. The text ventures beyond these, with treatments of coherent state path integrals, gauge theories, duality, and bosonization. Topics of great modern importance include Majorana fermions and the quantum Hall effect. It is notable that both the Lagrangian and Hamiltonian forms of lattice models are treated. This clear, authoritative text should be available at any institution where modern condensed matter physics is studied.' M. C. Ogilvie, Choice Read more...

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