Non-perturbative renormalization / Vieri Mastropietro.

Format:

Book

Author/Creator:

Mastropietro, Vieri.

Language:

English

Subjects (All):

Renormalization (Physics).

Quantum field theory.

Physical Description:

xi, 290 pages : illustrations ; 24 cm

Place of Publication:

Hackensack, NJ : World Scientific, [2008]

Summary:

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 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 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.

Contents:

Introduction to renormalization

Quantum field theory

Lattice statistical mechanics

Quantum liquids.

Notes:

Includes bibliographical references (pages 287-290).

ISBN:

9812792392

9789812792396

OCLC:

191658548