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<図書>
Non-perturbative renormalization

責任表示 Vieri Mastropietro
データ種別 図書
出版情報 Singapore ; New Jersey : World Scientific , c2008
本文言語 英語
大きさ xi, 290 p : ill. ; 24 cm
概要 The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful tehcniques have been developed allowing to put renormalization ...n a firm mathematical basis. This book provides a self-consistent and accessible introduction to the sophisticated tools used in the modern theory of non-perturbative renormalization, allowing an unified and rigorous treatment of Quantum Field Theory, Statistical Physics and Condensed Matter models. In particular the first part of this book is devoted to Constructive Quantum Field Theory, providing a mathematical construction of models at low dimensions and discussing the removal of the ultraviolet and infrared cut-off, the verification of the axioms and the validity of Ward Identities with the relative anomalies. The second part is devoted to lattice 2D Statistical Physics, analyzing in particular the theory of universality in perturbed lsing models and the computation of the non-universal critical indices in Vertex or Ashkin-Teller models. Finally the third part is devoted to the analysis of complex quantum fluids showing Luttinger of Fermi liquid behavior, like the 1D or 2D Hubbard model. Book jacket.続きを見る
目次 Introduction to renormalization
Quantum field theory
Lattice statistical mechanics
Quantum liquids.

所蔵情報



理系図3F 数理独自 MAST/10/1 2008
023212008002091

書誌詳細

著者標目 *Mastropietro, Vieri
書誌ID 1001230898
ISBN 9789812792396
NCID BA86155514
巻冊次 ISBN:9789812792396
登録日 2009.09.18
更新日 2009.11.02