Download or read book Modern Applications of Scattering Amplitudes and Topological Phases written by Julio Parra Martinez and published by . This book was released on 2020 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation we discuss some novel applications of the methods of scattering amplitudes and topological phases. First, we describe on-shell tools to calculate anomalous dimensions in effective field theories with higer-dimension operators. Using such tools we prove and apply a new perturbative non-renormalization theorem, and we explore the structure of the two-loop anomalous dimension matrix of dimension-six operators in the Standard Model Effective Theory (SMEFT). Second, we introduce new methods to calculate the classical limit of gravitational scattering amplitudes. Using these methods, in conjunction with eikonal techniques, we calculate the classical gravitational deflection angle of massive and massles particles in a variety of theories, which reveal graviton dominance beyond 't Hooft's. Finally, we point out that different choices of Gliozzi-Scherk-Olive (GSO) projections in superstring theory can be conveniently understood by the inclusion of fermionic invertible topological phases, or equivalently topological superconductors, on the worldsheet. We explain how the classification of fermionic topological phases, recently achieved by the condensed matter community, provides a complete and systematic classification of ten-dimensional superstrings and gives a new perspective on the K-theoretic classification of D-branes.
Download or read book Theory Construction and Selection in Modern Physics written by James T. Cushing and published by Cambridge University Press. This book was released on 1990 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyses what criteria should determine how scientific theories are selected and justified.
Download or read book Modern Analytic Methods for Computing Scattering Amplitudes written by Simone Zoia and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.sses of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976-02 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications of Modern Methods for Scattering Amplitudes written by Francesco Buciuni and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Analytic Methods for Scattering Amplitudes with an Application to Two loop Five particle Processes written by Simone Zoia and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods of Modern Mathematical Physics written by Michael Reed and published by Elsevier. This book was released on 2012-12-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena. Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations. This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.
Download or read book Advances in Atomic and Molecular Physics written by and published by Academic Press. This book was released on 1979-03-30 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Atomic and Molecular Physics
Download or read book Methods of Modern Mathematical Physics Functional analysis written by Michael Reed and published by Gulf Professional Publishing. This book was released on 1980 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.
Download or read book Topological Insulators and Topological Superconductors written by B. Andrei Bernevig and published by Princeton University Press. This book was released on 2013-04-07 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for graduate students and researchers preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with simple concepts such as Berry phases, Dirac fermions, Hall conductance and its link to topology, and the Hofstadter problem of lattice electrons in a magnetic field. It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires. Additionally, the book covers zero modes on vortices in topological superconductors, time-reversal topological superconductors, and topological responses/field theory and topological indices. The book also analyzes recent topics in condensed matter theory and concludes by surveying active subfields of research such as insulators with point-group symmetries and the stability of topological semimetals. Problems at the end of each chapter offer opportunities to test knowledge and engage with frontier research issues. Topological Insulators and Topological Superconductors will provide graduate students and researchers with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.
Download or read book The Role of Topology in Materials written by Sanju Gupta and published by Springer. This book was released on 2018-04-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure–property–function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.
Download or read book Topological and Non Topological Solitons in Scalar Field Theories written by Yakov M. Shnir and published by Cambridge University Press. This book was released on 2018-07-26 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.
Download or read book Symmetry And Structural Properties Of Condensed Matter Proceedings Of The 3rd International School On Theoretical Physics written by Tadeusz Lulek and published by World Scientific. This book was released on 1995-03-29 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews some selected problems in solid state physics with an emphasis on adequate mathematical tools. The three main subjects are magnetic structures and neutron scattering; Berry phases and energy bands in solids (symmetry, analicity, Hofstadter butterfly, van Hove singularities); and quasicrystals, finite systems, and group action on sets (unitary group approach, Schur functions). Software presentations are included as a separate part.
Download or read book A Short Course on Topological Insulators written by János K. Asbóth and published by Springer. This book was released on 2016-02-22 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.
Download or read book Questions of Modern Cosmology written by Mauro D'Onofrio and published by Springer Science & Business Media. This book was released on 2009-07-09 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are we living in the "golden age" of cosmology? Are we close to understanding the nature of the unknown ingredients of the currently most accepted cosmological model and the physics of the early Universe? Or are we instead approaching a paradigm shift? What is dark matter and does it exist? How is it distributed around galaxies and clusters? Is the scientific community open to alternative ideas that may prompt a new scientific revolution - as the Copernican revolution did in Galileo's time? Do other types of supernovae exist that can be of interest for cosmology? Why have quasars never been effectively used as standard candles? Can you tell us about the scientific adventure of COBE? How does the extraction of the Cosmic Microwave Background anisotropy depend on the subtraction of the various astrophysical foregrounds? These, among many others, are the astrophysical, philosophical and sociological questions surrounding modern cosmology and the scientific community that Mauro D'Onofrio and Carlo Burigana pose to some of the most prominent cosmologists of our time. Triggered by these questions and in the spirit of Galileo's book "Dialogue Concerning the Two Chief World Systems" the roughly 40 interview partners reply in the form of essays, with a critical frankness not normally found in reviews, monographs or textbooks.
Download or read book Use of Optical Correlation Techniques for Characterizing Scattering Objects and Media written by Oleg V. Angelsky and published by SPIE Press. This book was released on 1999 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph examines the possibilities for diagnostics of light-scattering objects and media by utilizing the properties of coherent optical radiation. Special emphasis is placed on diagnostics of rough surfaces. Ideas formulated in classical work on statistical radiophysics and optics have been adapted to diagnostic applications. The text includes unique techniques and unconventional methods aimed at obtaining the maximum information available.
Download or read book Number Theory Algebra Mathematical Analysis and Their Applications written by Ivan Matveevič Vinogradov (Mathematiker) and published by American Mathematical Soc.. This book was released on 1993 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is dedicated to the 100th anniversary of the birth of I. M. Vinogradov. It contains papers ranging over various areas of mathematics: including number theory; algebra; theory of functions of a real variable and of a complex variable; ordinary differential equations; optimal control; partial differential equations; mathematical physics; mechanics, and probability.
