## Field Theories of Condensed Matter PhysicsPresenting 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 string theorists, as well as mathematicians. 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 the 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. |

### What people are saying - Write a review

User Review - Flag as inappropriate

page 240

eq (7.189)

### Contents

The magnetic instability of the Fermi system | 27 |

The renormalization group and scaling | 63 |

Onedimensional quantum antiferromagnets | 90 |

The Luttinger liquid | 145 |

Sigma models and topological terms | 189 |

Spinliquid states | 251 |

Gauge theory dimer models and topological phases | 286 |

Chiral spin states and anyons | 359 |

Topology and the quantum Hall effect | 432 |

The fractional quantum Hall effect | 480 |

Topological ﬂuids | 536 |

Physics at the edge | 603 |

Topological insulators | 669 |

Quantum entanglement | 753 |

References | 799 |

826 | |

### Other editions - View all

### Common terms and phrases

abelian algebra amplitude antiferromagnet band behavior boson boundary conditions Brillouin zone Chapter charge Chern—Simons gauge chiral compute conﬁgurations correlation function coupling constant deﬁned degrees of freedom density dimer Dirac fermions discussed edge effective action eigenstates electron entanglement entropy equation excitations expectation value Fermi ﬁeld theory ﬁlling fraction ﬁnd ﬁnite ﬁrst ﬁxed point ﬂows ﬂuctuations ﬂux fractional quantum Hall fractional statistics Fradkin gauge ﬁeld gauge theory gauge transformations gauge-invariant half-ﬁlling Hall conductance Hamiltonian Heisenberg Hence Hilbert space Hubbard model interactions Ising model Lagrangian Landau level Laughlin Luttinger magnetic ﬁeld Majorana fermions matrix mean-ﬁeld momentum non-abelian operator order parameter particles partition function path integral Phys physics plaquette primary ﬁelds problem quantization quantum Hall effect quasihole quasiparticles result scaling dimension soliton spectrum spinor square lattice superconductor symmetry topological insulator topological phases torus tunneling vector wave function Wilson loop zero