| 书目名称 | Supermathematics and its Applications in Statistical Physics | | 副标题 | Grassmann Variables | | 编辑 | Franz Wegner | | 视频video | | | 概述 | Authored by one of the pioneers in the field.Self-contained exposition of the mathematical foundations for physicists.Course-based, tutorial presentation of the subject matter.Includes supplementary m | | 丛书名称 | Lecture Notes in Physics | | 图书封面 |  | | 描述 | .This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter...The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be | | 出版日期 | Book 2016 | | 关键词 | Disordered systems; Supermatrices and superdeterminants; Supersymmetric and superreal matrices; Supersy | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-49170-6 | | isbn_softcover | 978-3-662-49168-3 | | isbn_ebook | 978-3-662-49170-6Series ISSN 0075-8450 Series E-ISSN 1616-6361 | | issn_series | 0075-8450 | | copyright | Springer-Verlag Berlin Heidelberg 2016 |
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发表于 2025-3-21 18:58:42
