Download or read book Towards Infrared Finite S matrix in Quantum Field Theory written by Hayato Hirai and published by Springer Nature. This book was released on 2021-07-17 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the better understanding of infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime. An S-matrix is the fundamental quantity in scattering theory. However, if a theory involves massless particles, such as QED and gravity, the conventional S-matrix has not been well defined due to the infrared divergence, and infrared dynamics thus needs to be understood in-depth to figure out the S-matrix. The book begins with introducing fundamental nature of the charge conservation law associated with asymptotic symmetry, and explaining its relations to soft theorems and memory effect. Subsequently it looks into an appropriate asymptotic state of the S-matrix without infrared divergences. The Faddeev-Kulish dressed state is known as a candidate of such a state, and its gauge invariant condition and its relation to the asymptotic symmetry are discussed. It offers an important building blocks for constructing the S-matrix without infrared divergences.
Download or read book Quantum Infrared Physics written by Herbert Martin Fried and published by World Scientific. This book was released on 1995-05-09 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The common thread of the contributions collected here is an infrared approach to pressing problems in quantum field theory. Both high and low energy physics are represented, with much emphasis on QCD (Gribov horizons, infrared models, semiclassical applications, and effective Lagrangians). Other fields of interest are thermal infrared singularities, soft Pomeron physics, eikonal scattering phenomenology and the physics of bound states.
Download or read book An Introduction to Quantum Field Theory written by George Sterman and published by Cambridge University Press. This book was released on 1993-08-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from introductory quantum and classical mechanics, this text develops the quantum field theories that make up the `Standard Model' of elementary processes in a systematic presentation emphasizing theoretical concepts as well as experimental applications.
Download or read book An Introduction to Quantum Field Theory written by George Sterman and published by Cambridge University Press. This book was released on 1993-08-26 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic presentation of quantum field theory from first principles, emphasizing both theoretical concepts and experimental applications. Starting from introductory quantum and classical mechanics, this book develops the quantum field theories that make up the 'Standard Model' of elementary processes. It derives the basic techniques and theorems that underly theory and experiment, including those that are the subject of theoretical development. Special attention is also given to the derivations of cross sections relevant to current high-energy experiments and to perturbative quantum chromodynamics, with examples drawn from electron-positron annihilation, deeply inelastic scattering and hadron-hadron scattering. The first half of the book introduces the basic ideas of field theory. The discussion of mathematical issues is everywhere pedagogical and self contained. Topics include the role of internal symmetry and relativistic invariance, the path integral, gauge theories and spontaneous symmetry breaking, and cross sections in the Standard Model and in the parton model. The material of this half is sufficient for an understanding of the Standard Model and its basic experimental consequences. The second half of the book deals with perturbative field theory beyond the lowest-order approximation. Exercises are included for each chapter, and several appendices complement the text.
Download or read book Quantum Field Theory written by Lowell S. Brown and published by Cambridge University Press. This book was released on 1992 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops quantum field theory starting from its foundation in quantum mechanics. Quantum field theory is the basic theory of elementary particle physics. In recent years, many techniques have been developed which extend and clarify this theory. This book incorporates these modern methods, giving a thoroughly modern pedagogic account which starts from first principles. The path integral formulation is introduced right at the beginning. The method of dimensional continuation is employed to regulate and renormalize the theory. This facilitates the introduction of the concepts of the renormalization group at an early stage. The notion of spontaneous symmetry breakdown is also introduced early on by the example of superfluid helium. Topics in quantum electrodynamics are described which have an analog in quantum chromodynamics. Some novel techniques are employed, such as the use of dimensional continuation to compute the Lamb shift. Many problems are included.
Download or read book Finite Quantum Electrodynamics written by G. Scharf and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author carefully analyses the role of the concept of causality in Quantum Electrodynamics. This approach makes it possible for the first time to publish a textbook on QED which not only includes full proofs and detailed calculations but is also mathematically rigorous. The book begins with Dirac's theory in part one, followed in part two by the quantum theory of free fields including a new approach to the concept of exterior fields. The third part is devoted to the study of the S-matrix of QED avoiding ultraviolet divergence. The most important physical results of QED are derived, and significant themes such as unitarity and renormalizability of the theory are discussed. This slim book addresses graduate students in physics. From the reviews: "In the summary on the back cover the unheard-of statement appears that now the first (mathematically) rigorous textbook on Quantum Electrodynamics was on hand. ... In fact, "Finite Quantum Electrodynamics" does justice to this claim. And, in addition, in a pregnant, lifely form. On 220 pages G. Scharf (Zurich) succeeds in presenting a concise description of QED ... As promised, only finite quantities appear ... In Russia I often feel frustrated that I studied Latin in school and Russian was not offered. Now I have the same feeling after reading Scharf's book. I studied the wrong grammar up to now." #Translated from a review by Thomas Schücker in Physik in unserer Zeit#1
Download or read book Fifty Years of Mathematical Physics written by Molin Ge and published by World Scientific Publishing Company. This book was released on 2016-02-16 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.
Download or read book Low Dimensional Applications of Quantum Field Theory written by L. Baulieu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.
Download or read book An Iteration of the Scattering Matrix in Finite Terms written by KURT. HALLER and published by . This book was released on 1957 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computation of collision cross section in quantum field theory are performed by evaluating the Tmatrix. The T-matrix is defined when the Hamiltonian can be separated into a free particle interaction. However the T-Matrix not being consistent with requirements for solution to free particle interaction is replaced by the R-Matrix. The R-Matrix was developed for the Hamiltonian on a free particle interaction. Results indicate that field theories can be classified into two varieties: one kind which gives rise to finite weak coupling iterative expansions and another kind which gives rise to infinities. Presumably these latter infinites are indicative of some more deep seated pathology in the field equations or in the approximation by which a nonrelativistic Hamiltonian is obtained from a relativistic one. The gradient coupling theory, for example, gives rise to infinite R-Matrix elements, though these don't diverge as badly as the corresponding unrenormalized T-matrix elements evaluated by cut-off methods.
Download or read book Perturbative Quantum Electrodynamics and Axiomatic Field Theory written by Othmar Steinmann and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This novel approach is presented for the first time in book form. The author demonstrates that fundamental concepts and methods from phenomenological particle physics can be derived rigorously from well-defined general assumptions in a mathematically clean way.
Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Download or read book Lectures on the Infrared Structure of Gravity and Gauge Theory written by Andrew Strominger and published by Princeton University Press. This book was released on 2018-03-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short, graduate-level synthesis of recent developments in theoretical physics, from a pioneer in the field Lectures on the Infrared Structure of Gravity and Gauge Theory presents an accessible, graduate-level synthesis of a frontier research area in theoretical physics. Based on a popular Harvard University course taught by the author, this book gives a concise introduction to recent discoveries concerning the structure of gravity and gauge theory at very long distances. These discoveries unite three disparate but well-developed subjects in physics. The first subject is the soft theorems, which were found by particle physicists in the 1950s to control the behavior of low-energy photons and are essential for all collider predictions. The second subject is asymptotic symmetries, found by general relativists in the 1960s to provide a surprising, infinite number of exact relations between distinct physical phenomena. The third subject is the memory effect, the measurement of which is sought in upcoming gravitational wave observations. An exploration of the physical and mathematical equivalence of these three subjects has provided a powerful new perspective on old results and led to a plethora of new results, involving symmetries of QED, gluon scattering amplitudes, flat-space holography in quantum gravity, black hole information, and beyond. Uniquely connective and cutting-edge, Lectures on the Infrared Structure of Gravity and Gauge Theory takes students and scholars to the forefront of new developments in the discipline. Materials are presented in a "lecture notes" style with problem sets included Concise and accessible pedagogical approach Topics include soft theorems, the memory effect, asymptotic symmetries with applications to QED, Yang-Mills theory, quantum gravity, and black holes
Download or read book The Theory of Photons and Electrons written by Josef M. Jauch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the discovery of the corpuscular nature of radiation by Planck more than fifty years ago the quantum theory of radiation has gone through many stages of development which seemed to alternate between spectacular success and hopeless frustration. The most recent phase started in 1947 with the discovery of the electromagnetic level shifts and the realization that the exist ing theory, when properly interpreted, was perfectly adequate to explain these effects to an apparently unlimited degree of accuracy. This phase has now reached a certain conclusion: for the first time in the checkered history of this field of research it has become possible to give a unified and consistent presen tation of radiation theory in full conformity with the principles of relativity and quantum mechanics. To this task the present book is devoted. The plan for a book of this type was conceived during the year 1951 while the first-named author (J. M. J. ) held a Fulbright research scholarship at Cambridge University. During this year of freedom from teaching and other duties he had the opportunity of conferring with physicists in many different countries on the recent developments in radiation theory. The comments seemed to be almost unanimous that a book on quantum electrodynamics at the present time would be of inestimable value to physicists in many parts of the world. However, it was not until the spring of 1952 that work on the book began in earnest.
Download or read book One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 2 written by Wei-tou Ni and published by World Scientific. This book was released on 2017-05-26 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.
Download or read book Theory of Photons Electrons written by J.M. Jauch and published by Рипол Классик. This book was released on 1955 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relativistic quantum field theory of charged particles with spin one half.
Download or read book Quantum Field Theory written by Mark Srednicki and published by Cambridge University Press. This book was released on 2007-01-25 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 1292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
