By Giuseppe Mussardo

ISBN-10: 0199547580

ISBN-13: 9780199547586

This e-book offers a radical creation to the attention-grabbing international of section transitions in addition to many comparable themes, together with random walks, combinatorial difficulties, quantum box thought and S-matrix. primary ideas of part transitions, equivalent to order parameters, spontaneous symmetry breaking, scaling variations, conformal symmetry, and anomalous dimensions, have deeply replaced the trendy imaginative and prescient of many parts of physics, resulting in notable advancements in statistical mechanics, straight forward particle concept, condensed subject physics and string conception. This self-contained booklet presents a great advent to frontier subject matters of precisely solved types in statistical mechanics and quantum box idea, renormalization team, conformal types, quantum integrable structures, duality, elastic S-matrix, thermodynamics Bethe ansatz and shape issue idea. The transparent dialogue of actual ideas is followed by means of an in depth research of numerous branches of arithmetic, exceptional for his or her attractiveness and sweetness, resembling limitless dimensional algebras, conformal mappings, fundamental equations or modular services. in addition to complex examine topics, the booklet additionally covers many simple themes in statistical mechanics, quantum box conception and theoretical physics. each one argument is mentioned in nice element, being attentive to an total coherent realizing of actual phenomena. Mathematical historical past is equipped in supplementations on the finish of every bankruptcy, while applicable. The chapters also are through difficulties of alternative degrees of hassle. complicated undergraduate and graduate scholars will discover a wealthy and not easy resource for bettering their talents and for achieving a accomplished studying of the numerous elements of the topic.

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**Extra info for Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics (Oxford Graduate Texts)**

**Sample text**

They showed that the partition function of the model can be expressed in a systematic way as a series expansion both in the high- and in the low-temperature phases, showing that the two series were related by a duality transformation. In more detail, in the high-temperature phase the variable entering the series expansion is given by βJ, 11 One has only to read Ising’s original paper to learn that the model was previously proposed by Ising’s research supervisor, Wilhelm Lenz. It is rather curious that Lenz’s priority has never been recognized by later authors.

It is rather curious that Lenz’s priority has never been recognized by later authors. Lenz himself apparently never made any attempt later on to claim credit for suggesting the model and also never published any papers on it. The Ising Model 19 while in the low-temperature phase the series is in powers of the variable e−2βJ . The singularity present in both series, together with the duality relation that links one to the other, allowed them to determine the exact value of the critical temperature of the model on the square lattice, given by the equation sinh (J/kTc ) = 1.

They showed that the partition function of the model can be expressed in a systematic way as a series expansion both in the high- and in the low-temperature phases, showing that the two series were related by a duality transformation. In more detail, in the high-temperature phase the variable entering the series expansion is given by βJ, 11 One has only to read Ising’s original paper to learn that the model was previously proposed by Ising’s research supervisor, Wilhelm Lenz. It is rather curious that Lenz’s priority has never been recognized by later authors.

### Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics (Oxford Graduate Texts) by Giuseppe Mussardo

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