The Application of Dispersion Relations in Quantum Field Theory PDF Download

Author: Stephen Gasiorowicz
Publisher:
ISBN:
Category :
Languages : en
Pages : 74

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Author: Lewis Klein
Publisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 300

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Book Description

Author: Lewis Klein
Publisher:
ISBN: 9780282479800
Category :
Languages : en
Pages : 290

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Book Description
Excerpt from Dispersion Relations and the Abstract Approach to Field TheoryFurthermore it is assumed that it is possible to define a vacuum state: that is the energy operator should possess a smallest eigenvalue which we normalize to zero. The knowledge of commutation relations for field Operators is almost not necessary. Equation 1) is sufficient.Now we want to examine the vacuum expectation values of quadratic field magnitudes. As the orthogonal system in Hilbert space we shall use in this case, the eigenvectors of the PM operators, which should form a complete set.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author: José Antonio Oller
Publisher: Springer
ISBN: 3030135829
Category : Science
Languages : en
Pages : 142

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This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.

Author: Kazuhiko Nishijima
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 488

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Author: John Gerald Taylor
Publisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 196

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Author: Jan Hilgevoord
Publisher:
ISBN:
Category : Causation
Languages : en
Pages : 154

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Author: Lewis Klein
Publisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 0

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Author: I. T. Todorov
Publisher: Elsevier
ISBN: 148315632X
Category : Science
Languages : en
Pages : 169

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Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. This book is an elementary presentation of a self-contained exposition of the majorization method used in the study of these graphs. The author has taken the intermediate position between Eden et al. who assumes the physics of the analytic properties of the S-matrix, containing physical ideas and test results without using the proper mathematical methods, and Hwa and Teplitz, whose works are more mathematically inclined with applications of algebraic topology and homology theory. The book starts with the definition of the quadratic form of a Feynman diagram, and then explains the majorization of Feynman diagrams. The book describes the derivation of spectral representations, the dispersion relations for the nucleon-nucleon scattering amplitude, and for the corresponding partial wave amplitude. The text then analyzes the surface of singularities of a Feynman diagram with notes explaining the Cutkosky rules of the Mandelstam representation for the box diagram. This text is ideal for mathematicians, physicists dealing with quantum theory and mechanics, students, and professors in advanced mathematics.

Author: K. Nishijima
Publisher:
ISBN: 9780805373998
Category :
Languages : en
Pages : 465

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