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Author : R. J. Eden,P. V. Landshoff,D. I. Olive,J. C. Polkinghorne
Publisher : Cambridge University Press
Page : 300 pages
File Size : 40,5 Mb
Release : 2002-04-30
Category : Mathematics
ISBN : 0521523362
A theory of the S-Matrix, starting from physically plausible assumptions and looking at the mathematical consequences.
Author : Richard John Eden
Publisher : Unknown
Page : 287 pages
File Size : 46,8 Mb
Release : 1966
Category : S-matrix theory
ISBN : OCLC:622871472
Author : Geoffrey F. Chew
Publisher : Unknown
Page : 136 pages
File Size : 44,7 Mb
Release : 1966
Category : S-matrix theory
ISBN : STANFORD:36105033294104
Author : Richard John Eden
Publisher : Unknown
Page : 287 pages
File Size : 45,6 Mb
Release : 1966
Category : S-matrix theory
ISBN : OCLC:639794001
Author : Gautam Mitra,Leela Mitra
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 46,6 Mb
Release : 2011-07-13
Category : Business & Economics
ISBN : 9781119990802
The Handbook of News Analytics in Finance is a landmarkpublication bringing together the latest models and applications ofNews Analytics for asset pricing, portfolio construction, tradingand risk control. The content of the Hand Book is organised to provide arapid yet comprehensive understanding of this topic. Chapter 1 setsout an overview of News Analytics (NA) with an explanation of thetechnology and applications. The rest of the chapters are presentedin four parts. Part 1 contains an explanation of methods and modelswhich are used to measure and quantify news sentiment. In Part 2the relationship between news events and discovery of abnormalreturns (the elusive alpha) is discussed in detail by the leadingresearchers and industry experts. The material in this part alsocovers potential application of NA to trading and fund management.Part 3 covers the use of quantified news for the purpose ofmonitoring, early diagnostics and risk control. Part 4 is entirelyindustry focused; it contains insights of experts from leadingtechnology (content) vendors. It also contains a discussion oftechnologies and finally a compact directory of content vendor andfinancial analytics companies in the marketplace of NA. Thebook draws equally upon the expertise of academics andpractitioners who have developed these models and is supported bytwo major content vendors - RavenPack and Thomson Reuters - leadingproviders of news analytics software and machine readablenews. The book will appeal to decision makers in the banking, finance andinsurance services industry. In particular: asset managers;quantitative fund managers; hedge fund managers; algorithmictraders; proprietary (program) trading desks; sell-side firms;brokerage houses; risk managers and research departments willbenefit from the unique insights into this new and pertinent areaof financial modelling.
Author : Holmfridur Sigridar Hannesdottir,Sebastian Mizera
Publisher : Springer Nature
Page : 165 pages
File Size : 46,7 Mb
Release : 2023-01-01
Category : Science
ISBN : 9783031182587
This book provides a modern perspective on the analytic structure of scattering amplitudes in quantum field theory, with the goal of understanding and exploiting consequences of unitarity, causality, and locality. It focuses on the question: Can the S-matrix be complexified in a way consistent with causality? The affirmative answer has been well understood since the 1960s, in the case of 2→2 scattering of the lightest particle in theories with a mass gap at low momentum transfer, where the S-matrix is analytic everywhere except at normal-threshold branch cuts. We ask whether an analogous picture extends to realistic theories, such as the Standard Model, that include massless fields, UV/IR divergences, and unstable particles. Especially in the presence of light states running in the loops, the traditional iε prescription for approaching physical regions might break down, because causality requirements for the individual Feynman diagrams can be mutually incompatible. We demonstrate that such analyticity problems are not in contradiction with unitarity. Instead, they should be thought of as finite-width effects that disappear in the idealized 2→2 scattering amplitudes with no unstable particles, but might persist at higher multiplicity. To fix these issues, we propose an iε-like prescription for deforming branch cuts in the space of Mandelstam invariants without modifying the analytic properties of the physical amplitude. This procedure results in a complex strip around the real part of the kinematic space, where the S-matrix remains causal. We illustrate all the points on explicit examples, both symbolically and numerically, in addition to giving a pedagogical introduction to the analytic properties of the perturbative S-matrix from a modern point of view. To help with the investigation of related questions, we introduce a number of tools, including holomorphic cutting rules, new approaches to dispersion relations, as well as formulae for local behavior of Feynman integrals near branch points. This book is well suited for anyone with knowledge of quantum field theory at a graduate level who wants to become familiar with the complex-analytic structure of Feynman integrals.
Author : Elizabeth A. Rauscher,Richard L. Amoroso
Publisher : World Scientific
Page : 412 pages
File Size : 52,7 Mb
Release : 2011
Category : Science
ISBN : 9789814324243
The Maxwell, Einstein, Schrdinger and Dirac equations are considered the most important equations in all of physics. This volume aims to provide new eight- and twelve-dimensional complex solutions to these equations for the first time in order to reveal their richness and continued importance for advancing fundamental Physics. If M-Theory is to keep its promise of defining the ultimate structure of matter and spacetime, it is only through the topological configurations of additional dimensionality (or degrees of freedom) that this will be possible. Stretching the exploration of complex space through all of the main equations of Physics should help tighten the noose on ?the? fundamental theory. This kind of exploration of higher dimensional spacetime has for the most part been neglected by M-theorists and physicists in general and is taken to its penultimate form here.
Author : Simone Zoia
Publisher : Springer Nature
Page : 221 pages
File Size : 54,8 Mb
Release : 2022-05-18
Category : Science
ISBN : 9783031019456
This work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes. It begins with an introductory chapter to fill the gap between a standard QFT course and the latest developments in the field. The author then tackles the main bottleneck: the computation of the loop Feynman integrals. The most efficient technique for their computation is the method of the differential equations. This is discussed in detail, with a particular focus on the mathematical aspects involved in the derivation of the differential equations and their solution. Ample space is devoted to the special functions arising from the differential equations, to their analytic properties, and to the mathematical techniques which allow us to handle them systematically. The thesis also addresses the application of these techniques to a cutting-edge problem of importance for the physics programme of the Large Hadron Collider: five-particle amplitudes at two-loop order. It presents the first analytic results for complete two-loop five-particle amplitudes, in supersymmetric theories and QCD. The techniques discussed here open the door to precision phenomenology for processes of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.
Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 1125 pages
File Size : 53,8 Mb
Release : 2008-09-03
Category : Mathematics
ISBN : 9783540853770
And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.
Author : Henry P. Stapp
Publisher : Unknown
Page : 444 pages
File Size : 44,5 Mb
Release : 1964
Category : S-matrix theory
ISBN : UOM:39015017221550
Author : James T. Cushing
Publisher : Cambridge University Press
Page : 436 pages
File Size : 55,7 Mb
Release : 1990
Category : Mathematics
ISBN : 0521381819
Analyses what criteria should determine how scientific theories are selected and justified.
Author : Richard John Eden
Publisher : CUP Archive
Page : 316 pages
File Size : 48,7 Mb
Release : 1967
Category : Collisions (Nuclear physics).
ISBN : 8210379456XXX
Author : Lars Brink,Richard C Brower,Carleton Detar,Chung-i Tan,Kok Khoo Phua
Publisher : World Scientific
Page : 319 pages
File Size : 52,9 Mb
Release : 2021-12-02
Category : Science
ISBN : 9789811219849
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.
Author : Anonim
Publisher : Unknown
Page : 730 pages
File Size : 52,7 Mb
Release : 1974
Category : Nuclear energy
ISBN : UOM:39015023546537
Author : G Puppi
Publisher : Elsevier
Page : 323 pages
File Size : 53,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323155908
Old and New Problems in Elementary Particles provides information pertinent to elementary-particle physics. This book examines the types of problems facing high-energy physicists. Comprised of 20 chapters, this book starts with an overview of the fundamental properties of Dirac poles, with emphasis on the spin, the electric-dipole moment, and the mass. This text then examines the applications of supergain antenna, which is an interesting cautionary model against an oversimplified application of the notion of indeterminacy. Other chapters explain the uninhibited adoption of a uniform and natural experimental definition of resonance or particle with respect to hadrons. This book illustrates as well how insight into strong-interaction dynamics may be improved by a precise definition of the particle-resonance concept. The final chapter deals with the derivation of the Alder–Weisberger relation, which links the ratio of the two weak coupling constants of the nucleon with an integral over pion absorption cross-sections. Physicists and researchers will find this book useful.
