Download or read book A Brief Introduction to Dispersion Relations written by José Antonio Oller and published by Springer. This book was released on 2019-03-22 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976-05 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Energy Research Abstracts written by and published by . This book was released on 1982-02 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 1338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic Properties of Feynman Diagrams in Quantum Field Theory written by I. T. Todorov and published by Elsevier. This book was released on 2014-05-17 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geoffrey Chew Architect Of The Bootstrap written by Lars Brink and published by World Scientific. This book was released on 2021-12-02 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume is dedicated to Geoffrey Chew who passed away on April 12, 2019, at age 94. He is best known as the architect and passionate champion of the bootstrap concept, sometimes called nuclear democracy. His work influenced generations of particle physicists. His passion for physics was an inspiration for his many students and associates. From the Chew-Low theory for meson-nucleon scattering to Analytic S-Matrix, Regge Poles, and Bootstrap principle, his originality left its mark in ways that continue to the present. With contributions from Chew's former collaborators, students, and friends, the book will cover various facets of his life and impact on physics.Contributors include Steven Weinberg, Steven Frautschi, Gabriele Veneziano, Peter Landshoff, Carl Rosenzweig, Basarab Nicolescu, William Frazer, David Gross, John Schwartz, Ling-Lie Chau, Chung-I Tan, Richard Brower, Carleton DeTar, R Shankar, David Kaiser, Fritjof Capra, and others.
Download or read book Progress of Theoretical Physics written by and published by . This book was released on 1962 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 5, no. 4, July-Aug. 1950, commemorates the 15th anniversary of the discovery of the Meson theory.
Download or read book Soviet Physics JETP written by and published by . This book was released on 1964 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Japanese Journals of Physics written by Nichigai Asoshiētsu and published by . This book was released on 1975 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1957 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Japanese Journals of Physics Subject written by Nichigai Asoshiētsu and published by . This book was released on 1975 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Soviet Physics written by and published by . This book was released on 1960 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Memorial Volume For Stanley Mandelstam written by Nathan Jacob Berkovits and published by World Scientific. This book was released on 2017-06-20 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stanley Mandelstam (1928-2016) was one of the most influential and respected particle theorists. Coming as a young chemical engineer from South Africa to study theoretical physics in England, he quickly became a leading physicist in his field. With his deep understanding of quantum field theory, he pioneered the development of the analytic S-matrix theory as well as the path-dependent formulations for quantum gauge theories and for quantum general relativity. They are being actively used for the electroweak theory and having their imprints in lattice gauge theory and loop quantum gravity. Also he elucidated the mechanisms for quark confinement in quantum chromodynamics, constructed non-perturbative bosonization methods in 1+1 dimensions, and proved the perturbative finiteness and β=0 of N=4 supersymmetric Yang-Mills theory. His work also led to the discovery of dual resonance models, which in turn became superstring theory. He was a leader in these developments, devoting much of his later years to the proof that the theory is perturbatively finite so it can be considered as a contender for the theory of quantum gravity.He was also a very modest and friendly man, impressing everyone with his sharp intellect as well as his humanity. This volume contains essays written by many of his friends and students, including both detailed reports on his scientific achievements as well as personal reminiscences. Also collected in the volume are some selected reprints of Mandelstam's early seminal papers and abstracts of selected papers representing the full spectrum of his contributions.
Download or read book The Pion Nucleon System written by B. H. Bransden and published by . This book was released on 2015-02-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synthesizing the theoretical and experimental advances in pion-nucleon interactions over approximately the last twelve years, the authors offer here a timely account of the hadronic interactions of pions and nucleons and of the structure of nucleons. Because of the hadronic SU3 symmetry, the book also treats the structure of baryons in general, and so contains much material external to the specific field of pion-nucleon interactions. Thus the book's subject can be stated as the hadronic structure of baryons as illustrated particularly by pion-nucleon interaction. Following an introductory discussion of isotopic spin, the authors proceed to chapters that treat low energy pion scattering by nucleons and the photoproduction of pions; forward and fixed momentum transfer dispersion relations; analytic properties of scattering amplitudes; formation of nucleon resonances; symmetries and classification of particles and resonances; current algebra, sum rules, and superconvergence relations; scattering at higher energies; pion-nucleon dynamics; pion-nucleon inelastic scattering; and the form factors of the nucleon and the pion. Each chapter is followed by abundant references to the original literature. The level of the writing is suitable for students at the graduate level, and the presentation is even and self-contained. On balance, the authors have prepared a useful consolidation and review of this difficult and changing area of investigation. Originally published in 1973. 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.
Download or read book Proceedings written by and published by . This book was released on 1959 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Annual Rochester Conference on High Energy Nuclear Physics written by and published by . This book was released on 1958 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the International Conference on High Energy Physics written by and published by . This book was released on 1958 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
