Rivasseau From Perturbative to Constructive Renormalization

Course Book
ISBN: 978-1-4008-6208-5
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 348 Seiten

Reihe: Princeton Legacy Library

No detailed description available for "From Perturbative to Constructive Renormalization".

Autoren/Hrsg.

Rivasseau, Vincent

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

FrontMatter, pg. i
Contents, pg. vii
Acknowledgements, pg. ix
Chapter I.1 The Ultraviolet Problem, pg. 3
Chapter I.2 Euclidean Field Theory. The O.S. Axioms, pg. 15
Chapter I.3 The F4 Model, pg. 23
Chapter I.4 Feynman Graphs and Amplitudes, pg. 37
Chapter I.5 Borel Summability, pg. 54
Chapter II.1 The Multiscale Representation and a Bound on Convergent Graphs, pg. 59
Chapter II.2 Renormalization Theory for F44, pg. 74
Chapter II.3 Proof of the Uniform BPH Theorem, pg. 90
Chapter II.4 The Effective Expansion, pg. 111
Chapter II.5 Construction of “Wrong Sign” Planar F44, pg. 123
Chapter II.6 The Large Order Behavior of Perturbation Theory, pg. 144
Chapter III.1 Single Scale Cluster and Mayer Expansions, pg. 171
Chapter III.2 The Phase Space Expansion: The Convergent Case, pg. 210
Chapter III.3 The Effective Expansion and Infrared F44, pg. 241
Chapter III.4 The Gross-Neveu Model, pg. 272
Chapter III.5 The Ultraviolet Problem in Non-Abelian Gauge Theories, pg. 289
References and Bibliography, pg. 321
Index, pg. 333