By Giuseppe Mussardo

ISBN-10: 0199547580

ISBN-13: 9780199547586

This publication presents a radical advent to the attention-grabbing global of part transitions in addition to many comparable themes, together with random walks, combinatorial difficulties, quantum box conception and S-matrix. basic suggestions of section transitions, similar to order parameters, spontaneous symmetry breaking, scaling ameliorations, conformal symmetry, and anomalous dimensions, have deeply replaced the trendy imaginative and prescient of many parts of physics, resulting in remarkable

developments in statistical mechanics, common particle conception, condensed topic physics and string thought. This self-contained ebook presents a superb advent to frontier issues of precisely solved types in statistical mechanics and quantum box concept, renormalization staff, conformal models,

quantum integrable platforms, duality, elastic S-matrix, thermodynamics Bethe ansatz and shape issue concept. The transparent dialogue of actual ideas is observed by means of an in depth research of numerous branches of arithmetic, uncommon for his or her attractiveness and wonder, comparable to countless dimensional algebras, conformal mappings, quintessential equations or modular functions.

Besides complicated learn topics, the booklet additionally covers many simple themes in statistical mechanics, quantum box concept and theoretical physics. every one argument is mentioned in nice element, taking note of an total coherent knowing of actual phenomena. Mathematical heritage is equipped in supplementations on the finish of every bankruptcy, while applicable. The chapters also are by way of difficulties of alternative degrees of trouble. complex undergraduate and graduate scholars will locate a

rich and difficult resource for bettering their talents and for attaining a finished studying of the numerous elements of the subject.