Diagrammatica

Author: Martinus Veltman
Publisher: Cambridge University Press
ISBN: 9780521456920
Size: 68.30 MB
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This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. The aim is to make clear what the physical foundations of present day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. The book begins with a brief review of some aspects of Einstein's theory of relativity that are of particular importance for field theory, before going on to consider the relativistic quantum mechanics of free particles, interacting fields, and particles with spin. The techniques learned in the chapters are then demonstrated in examples that might be encountered in real accelerator physics. Further chapters contain discussions on renormalization, massive and massless vector fields and unitarity. A final chapter presents concluding arguments concerning quantum electrodynamics. The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. An appendix containing a comprehensive summary of the rules and conventions used is followed by an appendix specifying the full Lagrangian of the Standard Model and the corresponding Feynman rules. To make the book useful for a wide audience a final appendix provides a discussion on the metric used, and an easy to use dictionary connecting equations written with different metric. Written as a textbook, many diagrams and examples are included.

Facts And Mysteries In Elementary Particle Physics

Author: Martinus J G Veltman
Publisher: World Scientific
ISBN: 9813237074
Size: 31.29 MB
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This book provides a comprehensive overview of modern particle physics accessible to anyone with a true passion for wanting to know how the universe works. We are introduced to the known particles of the world we live in. An elegant explanation of quantum mechanics and relativity paves the way for an understanding of the laws that govern particle physics. These laws are put into action in the world of accelerators, colliders and detectors found at institutions such as CERN and Fermilab that are in the forefront of technical innovation. Real world and theory meet using Feynman diagrams to solve the problems of infinities and deduce the need for the Higgs boson. Facts and Mysteries in Elementary Particle Physics offers an incredible insight from an eyewitness and participant in some of the greatest discoveries in 20th century science. From Einstein's theory of relativity to the spectacular discovery of the Higgs particle, this book will fascinate and educate anyone interested in the world of quarks, leptons and gauge theories. This book also contains many thumbnail sketches of particle physics personalities, including contemporaries as seen through the eyes of the author. Illustrated with pictures, these candid sketches present rare, perceptive views of the characters that populate the field. The Chapter on Particle Theory, in a pre-publication, was termed "superbly lucid" by David Miller in Nature (Vol. 396, 17 Dec. 1998, p. 642). Contents: Introduction Preliminaries The Standard Model Quantum Mechanics. Mixing Energy, Momentum and Mass-Shell Detection Accelerators and Storage Rings The CERN Neutrino Experiment The Particle Zoo Particle Theory Finding the Higgs Quantum Chromodynamics Epilogue Addendum Readership: Students, lay people and anyone interested in the world of elementary particles. Keywords: Particle Physics;Quantum Mechanics;Relativity;Quarks;Leptons;Gauge Theories;Higgs ParticleReview: Reviews of the First Edition: "Veltman's life spans the history of particle physics, from Antiparticles to Z bosons. So does his crystal clear book, which tells all you want to know about the strange sub-nuclear world and the stranger scientists that study it ... a thrilling tale about the world's tiniest things." Sheldon Glashow Nobel laureate Boston University "I must congratulate you! The book you have written is truly a masterpiece. Not only have you explained the physics of the world of elementary particles to the young aspiring student, but you have made it available to the intelligent layman. On top of that you gave it the humanity it deserves; reading this book brought me back to the most exciting period of my life in which every day brought a new discovery and we all fought for recognition. I can truly say that there is no book like this." Melvin Schwartz Nobel laureate Columbia University "Veltman's ... transparent explanations of the abstract theories of quantum mechanics and special relativity, his lucid accounts of esoteric subjects in particle physics, such as scaling, Higgs particle and renormalizability ... are very impressive. The book will interest anyone who is interested in the view of the physical world held by contemporary fundamental physicists."T Y Cao Boston University "I greatly enjoyed finally reading a book that goes into the details I always wanted ... Veltman has the courage to try a deeper level about what we understand and what is simply fact ... Even if you have read books popularizing physics befor

A Course In Field Theory

Author: Pierre van Baal
Publisher: CRC Press
ISBN: 1466594608
Size: 29.26 MB
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Extensively classroom-tested, A Course in Field Theory provides material for an introductory course for advanced undergraduate and graduate students in physics. Based on the author’s course that he has been teaching for more than 20 years, the text presents complete and detailed coverage of the core ideas and theories in quantum field theory. It is ideal for particle physics courses as well as a supplementary text for courses on the Standard Model and applied quantum physics. The text gives students working knowledge and an understanding of the theory of particles and fields, with a description of the Standard Model toward the end. It explains how Feynman rules are derived from first principles, an essential ingredient of any field theory course. With the path integral approach, this is feasible. Nevertheless, it is equally essential that students learn how to use these rules. This is why the problems form an integral part of this book, providing students with the hands-on experience they need to become proficient. Taking a concise, practical approach, the book covers core topics in an accessible manner. The author focuses on the basics, offering a balanced mix of topics and rigor for intermediate physics students.

Knots And Feynman Diagrams

Author: Dirk Kreimer
Publisher: Cambridge University Press
ISBN: 9780521587617
Size: 22.50 MB
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This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormalization, early chapters discuss the rationality of ladder diagrams and simple link diagrams. The necessary basics of knot theory are then presented and the number-theoretic relationship between the topology of Feynman diagrams and knot theory is explored. Later chapters discuss four-term relations motivated by the discovery of Vassiliev invariants in knot theory and draw a link to algebraic structures recently observed in noncommutative geometry. Detailed references are included. Dealing with material at perhaps the most productive interface between mathematics and physics, the book will be of interest to theoretical and particle physicists, and mathematicians.

Qcd As A Theory Of Hadrons

Author: Stephan Narison
Publisher: Cambridge University Press
ISBN: 9781139451581
Size: 72.78 MB
Format: PDF, Mobi
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This book provides a pedagogical introduction to the perturbative and non-perturbative aspects of quantum chromodynamics (QCD). Introducing the basic theory and recent advances in QCD, it also reviews the historical development of the subject, covering pre-QCD ideas of strong interactions such as the quark and parton models, the notion of colours and the S-matrix approach. The author then discusses gauge theory, techniques of dimensional regularization and renormalization, deep inelastic scattering and hard processes in hadron collisions, hadron jets and e+e– annihilations. Other topics include power corrections and the technologies of the Shifman-Vainshtein-Zakharov operating product expansion. The final parts of the book are devoted to modern non-perturbative approaches to QCD and the phenomenological aspects of QCD spectral sum rules. The book will be a valuable reference for graduate students and researchers in high-energy particle and nuclear physics, both theoretical and experimental.

The Force Of Symmetry

Author: Vincent Icke
Publisher: Cambridge University Press
ISBN: 9780521455916
Size: 64.77 MB
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The Force of Symmetry gives an elementary introduction to the spectacular interplay among the three great themes of contemporary physics: quantum behavior, relativity, and symmetry. In clear, nontechnical language, it explores many fascinating aspects of modern physics, discussing the nature and interaction of force and matter. All these themes are drawn together toward the end of the book to describe the most successful physics theory in history, the "standard model" of subatomic particles. The book is suitable for undergraduate students in physics and mathematics.

Theoretical Concepts In Physics

Author: Malcolm S. Longair
Publisher: Cambridge University Press
ISBN: 1107717582
Size: 78.13 MB
Format: PDF
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A highly original, and truly novel, approach to theoretical reasoning in physics. This book illuminates the subject from the perspective of real physics as practised by research scientists. It is intended to be a supplement to the final years of an undergraduate course in physics and assumes that the reader has some grasp of university physics. By means of a series of seven case studies, the author conveys the excitement of research and discovery, highlighting the intellectual struggles to attain understanding of some of the most difficult concepts in physics. Case studies include the origins of Newton's law of gravitation, Maxwell's equations, mechanics and dynamics, linear and non-linear, thermodynamics and statistical physics, the origins of the concepts of quanta, special relativity, general relativity and cosmology. The approach is the same as that in the highly acclaimed first edition, but the text has been completely revised and many new topics introduced.

Essential Quantum Physics Edition En Anglais

Author: Peter V. Landshoff
Publisher: Cambridge University Press
ISBN: 9780521629935
Size: 71.68 MB
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This book provides a first course on quantum mechanics and describes simple applications to physical phenomena that are of immediate and everyday interest. The first five chapters introduce the fundamentals of quantum mechanics and are followed by a revision quiz with which readers may test their understanding. The remaining chapters describe applications, including the physics of lasers, molecular binding, simple properties of crystalline solids arising from their band structure, and the operation of junction transistors. This new edition (first edition entitled Simple Quantum Physics) has been expanded to include a chapter on the theory of spin and its application to magnetic resonance imaging, as well as a description of the WKB approximation and its application to alpha decay. Ideal either as a course text or a self-study text, the book contains nearly 100 exercises and hints to their solution.

Semigroup Methods For Evolution Equations On Networks

Author: Delio Mugnolo
Publisher: Springer
ISBN: 3319046217
Size: 66.91 MB
Format: PDF
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This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.