| 书目名称 | Models in Statistical Physics and Quantum Field Theory | | 编辑 | Harald Grosse | | 视频video | | | 丛书名称 | Trieste Notes in Physics | | 图书封面 |  | | 描述 | In these lectures we summarize certain results on models in statistical physics and quantum field theory and especially emphasize the deep relation ship between these subjects. From a physical point of view, we study phase transitions of realistic systems; from a more mathematical point of view, we describe field theoretical models defined on a euclidean space-time lattice, for which the lattice constant serves as a cutoff. The connection between these two approaches is obtained by identifying partition functions for spin models with discretized functional integrals. After an introduction to critical phenomena, we present methods which prove the existence or nonexistence of phase transitions for the Ising and Heisenberg models in various dimensions. As an example of a solvable system we discuss the two-dimensional Ising model. Topological excitations determine sectors of field theoretical models. In order to illustrate this, we first discuss soliton solutions of completely integrable classical models. Afterwards we dis cuss sectors for the external field problem and for the Schwinger model. Then we put gauge models on a lattice, give a survey of some rigorous results and discuss | | 出版日期 | Textbook 1988 | | 关键词 | Renormalization group; chaos; magnetism; phase transition; polymer; quantum field; quantum field theory; re | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-83504-9 | | isbn_softcover | 978-3-540-19383-8 | | isbn_ebook | 978-3-642-83504-9 | | copyright | Springer-Verlag Berlin Heidelberg 1988 |
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发表于 2025-3-21 17:53:41
