{"product_id":"9783031419997","title":"SpringerBriefs in Physics: From Parisi-Sourlas Supersymmetry to Dimensional Reduction","description":"\u003ch1\u003eSpringerBriefs in Physics: From Parisi-Sourlas Supersymmetry to Dimensional Reduction\u003c\/h1\u003e \u003ch2\u003eRychkov, Slava\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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. \u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e\u003cp\u003eThis book is of interest to researchers, PhD students and advanced master students specializing in statistical field theory.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2023-09-08\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031419997\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-42000-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 64\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44521764749452,"sku":"9783031419997","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031419997.jpg?v=1775774783","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031419997","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}