Lattice Models and Conformal Field Theory (Paperback)

Franck Gabriel

ISBN 10: 1470456184 / ISBN 13: 9781470456184

Published by American Mathematical Society, Providence, 2024

About this Item

Paperback. This book introduces the mathematical ideas connecting Statistical Mechanics and Conformal Field Theory (CFT). Building advanced structures on top of more elementary ones, the authors map out a well-posed road from simple lattice models to CFTs.Structured in two parts, the book begins by exploring several two-dimensional lattice models, their phase transitions, and their conjectural connection with CFT. Through these lattice models and their local fields, the fundamental ideas and results of two-dimensional CFTs emerge, with a special emphasis on the Unitary Minimal Models of CFT. Delving into the delicate ideas that lead to the classification of these CFTs, the authors discuss the assumptions on the lattice models whose scaling limits are described by CFTs. This produces a probabilistic rather than an axiomatic or algebraic definition of CFTs.Suitable for graduate students and researchers in mathematics and physics, Lattice Models and Conformal Field Theory introduces the ideas at the core of Statistical Field Theory. Assuming only undergraduate probability and complex analysis, the authors carefully motivate every argument and assumption made. Concrete examples and exercises allow readers to check their progress throughout. Mathematical ideas unite Statistical Mechanics and Conformal Field Theory by charting a path from two-dimensional lattice models and phase transitions to the emergence of 2D CFT, focusing on Unitary Minimal Models. Scaling assumptions and probabilistic definitions are explored, offering guided examples for researchers and grad students. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781470456184

Bibliographic Details

• Title: Lattice Models and Conformal Field Theory (Paperback)
• Publisher: American Mathematical Society, Providence
• Publication Date: 2024
• Language: English
• ISBN 10: 1470456184
• ISBN 13: 9781470456184
• Binding: Paperback
• Condition: new

About this title

Synopsis

This book introduces the mathematical ideas connecting Statistical Mechanics and Conformal Field Theory (CFT). Building advanced structures on top of more elementary ones, the authors map out a well-posed road from simple lattice models to CFTs. Structured in two parts, the book begins by exploring several two-dimensional lattice models, their phase transitions, and their conjectural connection with CFT. Through these lattice models and their local fields, the fundamental ideas and results of two-dimensional CFTs emerge, with a special emphasis on the Unitary Minimal Models of CFT. Delving into the delicate ideas that lead to the classification of these CFTs, the authors discuss the assumptions on the lattice models whose scaling limits are described by CFTs. This produces a probabilistic rather than an axiomatic or algebraic definition of CFTs. Suitable for graduate students and researchers in mathematics and physics, Lattice Models and Conformal Field Theory introduces the ideas at the core of Statistical Field Theory. Assuming only undergraduate probability and complex analysis, the authors carefully motivate every argument and assumption made. Concrete examples and exercises allow readers to check their progress throughout.