Lectures on the Random Field Ising Model: From Parisi-Sourlas Supersymmetry to Dimensional Reduction (2023) (Paperback)
 
作者: Slava Rychkov 
分類: Particle & high-energy physics ,
Statistical physics ,
Mathematical physics  
書城編號: 26836100


售價: $450.00

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出版社: Springer Nature
出版日期: 2023/10/05
重量: 0.12 kg
ISBN: 9783031419997
 
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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.

Slava Rychkov 作者作品表

Lectures on the Random Field Ising Model: From Parisi-Sourlas Supersymmetry to Dimensional Reduction (2023) (Paperback)

eBook: Lectures on the Random Field Ising Model: From Parisi-Sourlas Supersymmetry to Dimensional Reduction (DRM PDF)

eBook: Lectures on the Random Field Ising Model: From Parisi-Sourlas Supersymmetry to Dimensional Reduction (DRM EPUB)

eBook: EPFL Lectures on Conformal Field Theory in D 3 Dimensions (DRM EPUB)

eBook: EPFL Lectures on Conformal Field Theory in D 3 Dimensions (DRM PDF)

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