Simon P(0)2 Euclidean (Quantum) Field Theory

1. Auflage 2015
ISBN: 978-1-4008-6875-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 66, 414 Seiten

Reihe: Princeton Legacy LibraryPrinceton Series in Physics

Barry Simon's book both summarizes and introduces the remarkable progress in constructive quantum field theory that can be attributed directly to the exploitation of Euclidean methods. During the past two years deep relations on both the physical level and on the level of the mathematical structure have been either uncovered or made rigorous. Connections between quantum fields and the statistical mechanics of ferromagnets have been established, for example, that now allow one to prove numerous inequalities in quantum field theory.

In the first part of the book, the author presents the Euclidean methods on an axiomatic level and on the constructive level where the traditional results of the P(Ø)2 theory are translated into the new language. In the second part Professor Simon gives one of the approaches for constructing models of non-trivial, two-dimensional Wightman fields—specifically, the method of correlation inequalities. He discusses other approaches briefly.

Drawn primarily from the author's lectures at the Eidenössiehe Technische Hochschule, Zurich, in 1973, the volume will appeal to physicists and mathematicians alike; it is especially suitable for those with limited familiarity with the literature of this very active field.

Originally published in 1974.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Autoren/Hrsg.

Simon, Barry

Fachgebiete

• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse

Inhaltsverzeichnis

Frontmatter, pg. i
Preface, pg. vii
Contents, pg. ix
Introduction, pg. xiii
Chapter I. Gaussian Random Processes, Q-Space and Fock Space, pg. 1
Chapter II: Axioms, I, pg. 46
Chapter III: The Free Euclidean Field, pg. 81
Chapter IV: Axioms, II, pg. 106
Chapter V: Interactions and Transfer Matrices, pg. 131
Chapter VI: Nelson's Symmetry and Its Application, pg. 179
Chapter VII: Dirichlet Boundary Conditions, pg. 213
Chapter VIII: The Lattice Approximation And Its Consequences, pg. 255
Chapter IX: The Classical Ising Approximation and Its Applications, pg. 315
Chapter X: Additional Results and Techniques: A Brief Introduction, pg. 359
References, pg. 379