Lectures on the Random Field Ising Model (eng)
Language: English
Published by Springer, 2023
- Softcover
- New
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- Title
- Lectures on the Random Field Ising Model (eng)
- Author
- Rychkov, Slava
- Publisher
- Springer
- Publication year
- 2023
- Condition
- new
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3031419995
- ISBN 13
- 9783031419997
- Item weight
- 0.13 kilograms
- Series
- Book 129 of 151: SpringerBriefs in Physics
This book is about the Random Field Ising Model (RFIM) – a paradigmatic spin model featuring a frozen disordering field. The focus is on the second-order phase transition between the paramagnetic and ferromagnetic phases, and the associated critical exponents.
The book starts by summarizing the current knowledge about the RFIM from experiments, numerical simulations and rigorous mathematical results. It then reviews the classic theoretical works from the 1970’s which suggested a property of dimensional reduction – that the RFIM critical exponents should be the same as for the ordinary, non-disordered, Ising model of lower dimensionality, and related this an emergent Parisi-Sourlas supersymmetry. As is now known, these remarkable properties only hold when the spatial dimensionality of the model is larger than a critical dimension. The book presents a method to estimate the critical dimension, using standard tools such as the replica trick and perturbative renormalization group, whose result is in agreement with the numerical simulations. Some more elementary steps in the derivations are left as exercises for the readers.
This book is of interest to researchers, PhD students and advanced master students specializing in statistical field theory.
"Synopsis" may belong to another edition of this title.
About the Author
Slava Rychkov (PhD 2002, Princeton University) is a permanent professor of theoretical physics at the Institut des Hautes Études Scientifiques in Bures-sur-Yvette, France. His research interests encompass quantum and conformal field theory, as well as the renormalization group and their applications to critical phenomena. Rychkov has received notable recognition for his contributions to the field. He was awarded the New Horizons in Physics Prize in 2014 and the Grand Prix Mergier-Bourdeix of the French Academy of Sciences in 2019 for his groundbreaking work on the development of the conformal bootstrap method in dimensions greater than two (d>2). He published the book EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions (Springer, 2017).
"About the title" may belong to another edition of this title.
Brook Bookstore On Demand
Napoli, NA, Italy
AbeBooks seller since October 11, 2022
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Brook Bookstore On Demand offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses.
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