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Lattice Models and Conformal Field Theory
 
Franck Gabriel Université Lyon 1, Lyon, France
Clément Hongler EPFL, Lausanne, Switzerland
Francesco Spadaro Zürich, Switzerland
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
Softcover ISBN:  978-1-4704-5618-4
Product Code:  CLN/32
List Price: $55.00
MAA Member Price: $49.05
AMS Member Price: $40.88
Not yet published - Preorder Now!
Expected availability date: September 26, 2024
eBook ISBN:  978-1-4704-7793-6
Product Code:  CLN/32.E
List Price: $55.00
MAA Member Price: $49.05
AMS Member Price: $40.88
Not yet published - Preorder Now!
Expected availability date: September 26, 2024
Softcover ISBN:  978-1-4704-5618-4
eBook: ISBN:  978-1-4704-7793-6
Product Code:  CLN/32.B
List Price: $110.00 $82.50
MAA Member Price: $98.10 $73.58
AMS Member Price: $81.76 $61.32
Not yet published - Preorder Now!
Expected availability date: September 05, 2024
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Lattice Models and Conformal Field Theory
Franck Gabriel Université Lyon 1, Lyon, France
Clément Hongler EPFL, Lausanne, Switzerland
Francesco Spadaro Zürich, Switzerland
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
Softcover ISBN:  978-1-4704-5618-4
Product Code:  CLN/32
List Price: $55.00
MAA Member Price: $49.05
AMS Member Price: $40.88
Not yet published - Preorder Now!
Expected availability date: September 26, 2024
eBook ISBN:  978-1-4704-7793-6
Product Code:  CLN/32.E
List Price: $55.00
MAA Member Price: $49.05
AMS Member Price: $40.88
Not yet published - Preorder Now!
Expected availability date: September 26, 2024
Softcover ISBN:  978-1-4704-5618-4
eBook ISBN:  978-1-4704-7793-6
Product Code:  CLN/32.B
List Price: $110.00 $82.50
MAA Member Price: $98.10 $73.58
AMS Member Price: $81.76 $61.32
Not yet published - Preorder Now!
Expected availability date: September 05, 2024
  • Book Details
     
     
    Courant Lecture Notes
    Volume: 322024; Estimated: 205 pp
    MSC: Primary 60; 81; 82

    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.

    Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

    Readership

    Researchers interested in probability, mathematical physics, statistical mechanics, and high-energy physics.

  • Table of Contents
     
     
    • Introduction
    • Lattice models, phase transitions, and critical exponents
    • Statistical and quantum field theories
    • Conformal field theory
    • Conformal field theory: Minimal models on the plane
    • Local fields and correlations
    • Stress-energy tensor and conformal Ward identities
    • Unitarity and radial quantization
    • Primary fields and conformal families
    • Unitary minimal models, lattice models, and loop models
    • Bibliography
    • Index
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 322024; Estimated: 205 pp
MSC: Primary 60; 81; 82

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.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Readership

Researchers interested in probability, mathematical physics, statistical mechanics, and high-energy physics.

  • Introduction
  • Lattice models, phase transitions, and critical exponents
  • Statistical and quantum field theories
  • Conformal field theory
  • Conformal field theory: Minimal models on the plane
  • Local fields and correlations
  • Stress-energy tensor and conformal Ward identities
  • Unitarity and radial quantization
  • Primary fields and conformal families
  • Unitary minimal models, lattice models, and loop models
  • Bibliography
  • Index
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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