Non-perturbative renormalization /

Non-perturbative renormalization /

Saved in:

Bibliographic Details
Author / Creator:	Mastropietro, Vieri.
Imprint:	Hackensack, NJ : World Scientific, ©2008.
Description:	1 online resource (xi, 290 pages) : illustrations
Language:	English
Subject:	Renormalization (Physics) Quantum field theory. Quantum field theory. Renormalization (Physics)
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11203804

Hidden Bibliographic Details
ISBN:	9789812792402 9812792406 1281934097 9781281934093 9786611934095 661193409X 9812792392 9789812792396
Notes:	Includes bibliographical references (pages 287-290). English. Print version record.
Summary:	Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models.
Other form:	Print version: Mastropietro, Vieri. Non-perturbative renormalization. Hackensack, NJ : World Scientific, ©2008 9812792392 9789812792396

Description
Summary:	The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on 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 Ising 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.
Physical Description:	1 online resource (xi, 290 pages) : illustrations
Bibliography:	Includes bibliographical references (pages 287-290).
ISBN:	9789812792402 9812792406 1281934097 9781281934093 9786611934095 661193409X 9812792392 9789812792396