Lectures on the Random Field Ising Model : From Parisi-Sourlas Supersymmetry to Dimensional Reduction

Language: English

Published by Springer, 2023

3031419995 / 9783031419997

Series: Book 129 of 151 - SpringerBriefs in Physics

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783031419997

Title
Lectures on the Random Field Ising Model : From Parisi-Sourlas Supersymmetry to Dimensional Reduction
Author
Slava Rychkov
Publisher
Springer
Publication year
2023
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3031419995
ISBN 13
9783031419997
Item weight
131 grams
Dimensions
235x155x5 mm
Series
Book 129 of 151: SpringerBriefs in Physics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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