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A Study Of Analytic Properties Of Scattering Amplitudes
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Book Synopsis Analyticity Properties and Bounds of the Scattering Amplitudes by : André Martin (Professeur.)
Download or read book Analyticity Properties and Bounds of the Scattering Amplitudes written by André Martin (Professeur.) and published by M.E. Sharpe. This book was released on 1970 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Analytic S-Matrix by : R. J. Eden
Download or read book The Analytic S-Matrix written by R. J. Eden and published by Cambridge University Press. This book was released on 2002-04-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory of the S-Matrix, starting from physically plausible assumptions and looking at the mathematical consequences.
Book Synopsis Analytic Properties of Feynman Diagrams in Quantum Field Theory by : Ivan T. Todorov
Download or read book Analytic Properties of Feynman Diagrams in Quantum Field Theory written by Ivan T. Todorov and published by . This book was released on 1971 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976-06 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scattering Amplitudes in Gauge Theory and Gravity by : Henriette Elvang
Download or read book Scattering Amplitudes in Gauge Theory and Gravity written by Henriette Elvang and published by Cambridge University Press. This book was released on 2015-02-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.
Book Synopsis Aspects of Scattering Amplitudes and Moduli Space Localization by : Sebastian Mizera
Download or read book Aspects of Scattering Amplitudes and Moduli Space Localization written by Sebastian Mizera and published by Springer Nature. This book was released on 2020-09-23 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis proposes a new perspective on scattering amplitudes in quantum field theories. Their standard formulation in terms of sums over Feynman diagrams is replaced by a computation of geometric invariants, called intersection numbers, on moduli spaces of Riemann surfaces. It therefore gives a physical interpretation of intersection numbers, which have been extensively studied in the mathematics literature in the context of generalized hypergeometric functions. This book explores physical consequences of this formulation, such as recursion relations, connections to geometry and string theory, as well as a phenomenon called moduli space localization. After reviewing necessary mathematical background, including topology of moduli spaces of Riemann spheres with punctures and its fundamental group, the definition and properties of intersection numbers are presented. A comprehensive list of applications and relations to other objects is given, including those to scattering amplitudes in open- and closed-string theories. The highlights of the thesis are the results regarding localization properties of intersection numbers in two opposite limits: in the low- and the high-energy expansion. In order to facilitate efficient computations of intersection numbers the author introduces recursion relations that exploit fibration properties of the moduli space. These are formulated in terms of so-called braid matrices that encode the information of how points braid around each other on the corresponding Riemann surface. Numerous application of this approach are presented for computation of scattering amplitudes in various gauge and gravity theories. This book comes with an extensive appendix that gives a pedagogical introduction to the topic of homologies with coefficients in a local system.
Book Synopsis Scattering Theory by : Aleksei G. Sitenko
Download or read book Scattering Theory written by Aleksei G. Sitenko and published by Springer. This book was released on 2012-02-02 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the course in theoretical nuclear physics that has been given by the author for some years at the T. G. Shevchenko Kiev State University. This version is supplemented and revised to include new results obtained after 1971 and 1975 when the first and second editions were published. This text is intended as an introduction to the nonrelativistic theory of po tential scattering. The analysis is based on the scattering matrix concept where the relationship between the scattering matrix and observable physical quantities is considered. The stationary formulation of the scattering problem is presented; particle wave functions in the external field are obtained. A formulation of the optical theorem is given as well as a discussion on time inversion and the reci procity theorem. Analytic properties of the scattering matrix, dispersion relations, and complex moments are analyzed. The dispersion relations for an arbitrary di rection scattering amplitude are proven, and analytic properties of the amplitude in the plane of the complex cosine of the scattering angle are studied in detail.
Book Synopsis Commencement Programs by : University of California, Berkeley
Download or read book Commencement Programs written by University of California, Berkeley and published by . This book was released on 1962 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theoretical and Mathematical Physics by :
Download or read book Theoretical and Mathematical Physics written by and published by . This book was released on 2005 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scattering Amplitudes in Gauge Theories by : Johannes M. Henn
Download or read book Scattering Amplitudes in Gauge Theories written by Johannes M. Henn and published by Springer. This book was released on 2014-02-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge. These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerous exercises and solutions included will help readers to embrace and apply the material presented in the main text.
Book Synopsis Lectures in Theoretical Physics by : Brandeis University Summer Institute in Theoretical Physics
Download or read book Lectures in Theoretical Physics written by Brandeis University Summer Institute in Theoretical Physics and published by . This book was released on 1970 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Particles' and Field Theory by : Brandeis University. Summer Institute in Theoretical Physics
Download or read book Lectures on Particles' and Field Theory written by Brandeis University. Summer Institute in Theoretical Physics and published by . This book was released on 1970 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1971 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1964 with total page 2180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International Series of Monographs in Natural Philosophy by :
Download or read book International Series of Monographs in Natural Philosophy written by and published by . This book was released on 1971 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis OAR Cumulative Index of Research Results by :
Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Grassmannian Geometry of Scattering Amplitudes by : Nima Arkani-Hamed
Download or read book Grassmannian Geometry of Scattering Amplitudes written by Nima Arkani-Hamed and published by Cambridge University Press. This book was released on 2016-05-05 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids - in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics.
