Biblioteca Allievi della Scuola Superiore di Catania

Contents:

Summary: This book provides a thorough introduction to the fascinating world of phase transitions as well as many related topics, including random walks, combinatorial problems, quantum field theory and S-matrix. Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry, and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments instatistical mechanics, elementary particle theory, condensed matter physics and string theory.
One-dimensional systems -- Approximate solutions -- Duality of the two-dimensional Ising model -- Combinatorial solutions of the Ising model -- Transfer matrix of the two-dimensional Ising model -- Quantum field theory -- Renormalization group -- Fermionic formulation of the Ising model -- Conformal field theory -- Minimal conformal models -- Conformal field theory of free bosonic and fermionic fields -- Conformal field theories with extended symmetries -- The arena of conformal models -- In the vicinity of the critical points -- Integrable quantum field theories -- S-matrix theory -- Exact S-matrices -- Thermodynamical Bethe Ansatz -- Form factors and correlation functions -- Non-integrable aspects.

Location | Call number | Status | Date due |
---|---|---|---|

530.143 M9891 (Browse shelf) | Available |

530.143 M2173v1 Meccanica quantistica relativistica : | 530.143 M2173v2 Interazioni elettrodeboli / | 530.143 M2173v3 Introduzione alle teorie di gauge / | 530.143 M9891 Statistical field theory : | 530.143 P234 Statistical field theory / | 530.143 P474 An introduction to quantum field theory / | 530.143 S1587 Quantum theory of many-variable systems and fields / |

Includes bibliographical references and index.

One-dimensional systems -- Approximate solutions -- Duality of the two-dimensional Ising model -- Combinatorial solutions of the Ising model -- Transfer matrix of the two-dimensional Ising model -- Quantum field theory -- Renormalization group -- Fermionic formulation of the Ising model -- Conformal field theory -- Minimal conformal models -- Conformal field theory of free bosonic and fermionic fields -- Conformal field theories with extended symmetries -- The arena of conformal models -- In the vicinity of the critical points -- Integrable quantum field theories -- S-matrix theory -- Exact S-matrices -- Thermodynamical Bethe Ansatz -- Form factors and correlation functions -- Non-integrable aspects.

This book provides a thorough introduction to the fascinating world of phase transitions as well as many related topics, including random walks, combinatorial problems, quantum field theory and S-matrix. Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry, and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments instatistical mechanics, elementary particle theory, condensed matter physics and string theory.