Description
Book SynopsisThe last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with new
Table of Contents*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 PHI4 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 PHI44, 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 PHI44, 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 PHI44, 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
