sábado, 7 de marzo de 2009

Analytic Properties of Feynman Diagrams in Quantum Field Theory


Most of the book is devoted to a self-contained exposition of the majorization method in the study of the analytic properties of Feynman graphs; this is applied to the derivation of single variable dispersion relations. A special chapter (4) deals with the study of the singularity surface of an arbitrary diagram. A number of examples for which the Landau curves can be found explicitly are treated in detail. A new section is added to the English edition in this chapter; it illustrates the Cutkosky rules and the Mandelstam representation with the example of a fourth-order diagram. The derivation of fixed angle dispersion relations for the pion-nucleon scattering amplitude in Chapter 3 of the first edition was complicated and incomplete, so it has been eliminated in the present edition. Also, a number of minor corrections has been added throughout and the list of references has been extended.
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