Knots And Feynman Diagrams

Download Knots And Feynman Diagrams full books in PDF, epub, and Kindle. Read online Knots And Feynman Diagrams ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Knots and Feynman Diagrams

Author : Dirk Kreimer
Publisher : Cambridge University Press
ISBN 13 : 9780521587617
Total Pages : 276 pages
Book Rating : 4.5/5 (876 download)

DOWNLOAD NOW!

Book Synopsis Knots and Feynman Diagrams by : Dirk Kreimer

Download or read book Knots and Feynman Diagrams written by Dirk Kreimer and published by Cambridge University Press. This book was released on 2000-07-20 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explains how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. The author emphasizes how new discoveries in mathematics have inspired conventional calculational methods for perturbative quantum field theory to become more elegant and potentially more powerful methods. The material illustrates what may possibly be the most productive interface between mathematics and physics. As a result, it will be of interest to graduate students and researchers in theoretical and particle physics as well as mathematics.

Knot Theory

Author : Vassily Olegovich Manturov
Publisher : CRC Press
ISBN 13 : 0203402847
Total Pages : 417 pages
Book Rating : 4.2/5 (34 download)

DOWNLOAD NOW!

Book Synopsis Knot Theory by : Vassily Olegovich Manturov

Download or read book Knot Theory written by Vassily Olegovich Manturov and published by CRC Press. This book was released on 2004-02-24 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important results and now plays a significant role in modern mathematics. In a unique presentation with contents not found in any other monograph, Knot Theory describes, with full proofs, the main concepts and the latest investigations in the field. The book is divided into six thematic sections. The first part discusses "pre-Vassiliev" knot theory, from knot arithmetics through the Jones polynomial and the famous Kauffman-Murasugi theorem. The second part explores braid theory, including braids in different spaces and simple word recognition algorithms. A section devoted to the Vassiliev knot invariants follows, wherein the author proves that Vassiliev invariants are stronger than all polynomial invariants and introduces Bar-Natan's theory on Lie algebra respresentations and knots. The fourth part describes a new way, proposed by the author, to encode knots by d-diagrams. This method allows the encoding of topological objects by words in a finite alphabet. Part Five delves into virtual knot theory and virtualizations of knot and link invariants. This section includes the author's own important results regarding new invariants of virtual knots. The book concludes with an introduction to knots in 3-manifolds and Legendrian knots and links, including Chekanov's differential graded algebra (DGA) construction. Knot Theory is notable not only for its expert presentation of knot theory's state of the art but also for its accessibility. It is valuable as a professional reference and will serve equally well as a text for a course on knot theory.

Knot Theory

Author : Vassily Olegovich Manturov
Publisher : CRC Press
ISBN 13 : 1351359126
Total Pages : 528 pages
Book Rating : 4.3/5 (513 download)

DOWNLOAD NOW!

Book Synopsis Knot Theory by : Vassily Olegovich Manturov

Download or read book Knot Theory written by Vassily Olegovich Manturov and published by CRC Press. This book was released on 2018-04-17 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text. Knot Theory, Second Edition is notable not only for its expert presentation of knot theory’s state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.

Introduction to Feynman Diagrams

Author : S. M. Bilenky
Publisher : Elsevier
ISBN 13 : 1483187217
Total Pages : 196 pages
Book Rating : 4.4/5 (831 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Feynman Diagrams by : S. M. Bilenky

Download or read book Introduction to Feynman Diagrams written by S. M. Bilenky and published by Elsevier. This book was released on 2013-10-22 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Feynman Diagrams provides Feynman diagram techniques and methods for calculating quantities measured experimentally. The book discusses topics Feynman diagrams intended for experimental physicists. Topics presented include methods for calculating the matrix elements (by perturbation theory) and the basic rules for constructing Feynman diagrams; techniques for calculating cross sections and polarizations; processes in which both leptons and hadrons take part; and the electromagnetic and weak form factors of nucleons. Experimental physicists and graduate students of physics will find value in the book.

Diagrammatica

Author : Martinus Veltman
Publisher :
ISBN 13 : 9781139933728
Total Pages : 300 pages
Book Rating : 4.9/5 (337 download)

DOWNLOAD NOW!

Book Synopsis Diagrammatica by : Martinus Veltman

Download or read book Diagrammatica written by Martinus Veltman and published by . This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easily accessible introduction to quantum field theory via Feynman rules in particle physics.

Diagrammatica

Author : Martinus Veltman
Publisher : Cambridge University Press
ISBN 13 : 9780521456920
Total Pages : 302 pages
Book Rating : 4.4/5 (569 download)

DOWNLOAD NOW!

Book Synopsis Diagrammatica by : Martinus Veltman

Download or read book Diagrammatica written by Martinus Veltman and published by Cambridge University Press. This book was released on 1994-06-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easily accessible introduction to quantum field theory via Feynman rules in particle physics.

Topological Geometrodynamics

Author : Matti Pitkanen
Publisher : Bentham Science Publishers
ISBN 13 : 1681081792
Total Pages : 1235 pages
Book Rating : 4.6/5 (81 download)

DOWNLOAD NOW!

Book Synopsis Topological Geometrodynamics by : Matti Pitkanen

Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Bentham Science Publishers. This book was released on 2016-03-03 with total page 1235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.

Analytic Properties of Feynman Diagrams in Quantum Field Theory

Author : I. T. Todorov
Publisher : Elsevier
ISBN 13 : 148315632X
Total Pages : 168 pages
Book Rating : 4.4/5 (831 download)

DOWNLOAD NOW!

Book Synopsis Analytic Properties of Feynman Diagrams in Quantum Field Theory by : I. T. Todorov

Download or read book Analytic Properties of Feynman Diagrams in Quantum Field Theory written by I. T. Todorov and published by Elsevier. This book was released on 2014-05-17 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. This book is an elementary presentation of a self-contained exposition of the majorization method used in the study of these graphs. The author has taken the intermediate position between Eden et al. who assumes the physics of the analytic properties of the S-matrix, containing physical ideas and test results without using the proper mathematical methods, and Hwa and Teplitz, whose works are more mathematically inclined with applications of algebraic topology and homology theory. The book starts with the definition of the quadratic form of a Feynman diagram, and then explains the majorization of Feynman diagrams. The book describes the derivation of spectral representations, the dispersion relations for the nucleon-nucleon scattering amplitude, and for the corresponding partial wave amplitude. The text then analyzes the surface of singularities of a Feynman diagram with notes explaining the Cutkosky rules of the Mandelstam representation for the box diagram. This text is ideal for mathematicians, physicists dealing with quantum theory and mechanics, students, and professors in advanced mathematics.

Advanced Quantum Theory and Its Applications Through Feynman Diagrams

Author : Michael D. Scadron
Publisher : Springer Science & Business Media
ISBN 13 : 366211044X
Total Pages : 390 pages
Book Rating : 4.6/5 (621 download)

DOWNLOAD NOW!

Book Synopsis Advanced Quantum Theory and Its Applications Through Feynman Diagrams by : Michael D. Scadron

Download or read book Advanced Quantum Theory and Its Applications Through Feynman Diagrams written by Michael D. Scadron and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet the scientific method inadver tently steers us away from that course by requiring an ever finer subdivision of the problem into constituent components, so that the overall objective is often obscured, even to the experts. The situation is most frustrating and acute for today's graduate students, who must try to absorb as much general knowledge as is possible and also try to digest only a sm all fraction of the ever increasing morass of observational data or detailed theories to write a dissertation. This book is based on the premise that to study a subject in depth is only half the battle; the remaining struggle is to put the pieces together in a broad but comprehensive manner. Accordingly, the primary purpose of this text is to cut across the barriers existing between the various fields ofmodern physics (elementary particles; nuclear, atomic, and solid state physics; gravitation) and present a unified description of the quantum nature of forces encountered in each field at the level of the second-year physics graduate student. This unification is based on one-body perturbation techniques, covariantly generalized to what are now called "Feynman diagrams," and is formulated aS,a simple (but nontriv ial) extension of ordinary nonrelativistic, one-particle quantum theory.

Introduction to Vassiliev Knot Invariants

Author : S. Chmutov
Publisher : Cambridge University Press
ISBN 13 : 1107020832
Total Pages : 521 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Vassiliev Knot Invariants by : S. Chmutov

Download or read book Introduction to Vassiliev Knot Invariants written by S. Chmutov and published by Cambridge University Press. This book was released on 2012-05-24 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed exposition of the theory with an emphasis on its combinatorial aspects.

Knotted Surfaces and Their Diagrams

Author : J. Scott Carter
Publisher : American Mathematical Soc.
ISBN 13 : 0821805932
Total Pages : 273 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Knotted Surfaces and Their Diagrams by : J. Scott Carter

Download or read book Knotted Surfaces and Their Diagrams written by J. Scott Carter and published by American Mathematical Soc.. This book was released on 1998 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, the authors develop the theory of knotted surfaces in analogy with the classical case of knotted curves in three-dimensional space. Knotted surface diagrams are defined; the theory of Reidemeister moves is developed; and the braid theory of knotted surfaces is

When Form Becomes Substance

Author : Luciano Boi
Publisher : Springer Nature
ISBN 13 : 3030831256
Total Pages : 607 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis When Form Becomes Substance by : Luciano Boi

Download or read book When Form Becomes Substance written by Luciano Boi and published by Springer Nature. This book was released on 2022-11-30 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience.

Drawing Theories Apart

Author : David Kaiser
Publisher : University of Chicago Press
ISBN 13 : 0226422658
Total Pages : 376 pages
Book Rating : 4.2/5 (264 download)

DOWNLOAD NOW!

Book Synopsis Drawing Theories Apart by : David Kaiser

Download or read book Drawing Theories Apart written by David Kaiser and published by University of Chicago Press. This book was released on 2009-11-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 2007 Pfizer Prize from the History of Science Society. Feynman diagrams have revolutionized nearly every aspect of theoretical physics since the middle of the twentieth century. Introduced by the American physicist Richard Feynman (1918-88) soon after World War II as a means of simplifying lengthy calculations in quantum electrodynamics, they soon gained adherents in many branches of the discipline. Yet as new physicists adopted the tiny line drawings, they also adapted the diagrams and introduced their own interpretations. Drawing Theories Apart traces how generations of young theorists learned to frame their research in terms of the diagrams—and how both the diagrams and their users were molded in the process. Drawing on rich archival materials, interviews, and more than five hundred scientific articles from the period, Drawing Theories Apart uses the Feynman diagrams as a means to explore the development of American postwar physics. By focusing on the ways young physicists learned new calculational skills, David Kaiser frames his story around the crafting and stabilizing of the basic tools in the physicist's kit—thus offering the first book to follow the diagrams once they left Feynman's hands and entered the physics vernacular.

$q$-Series with Applications to Combinatorics, Number Theory, and Physics

Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
ISBN 13 : 0821827464
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis $q$-Series with Applications to Combinatorics, Number Theory, and Physics by : Bruce C. Berndt

Download or read book $q$-Series with Applications to Combinatorics, Number Theory, and Physics written by Bruce C. Berndt and published by American Mathematical Soc.. This book was released on 2001 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two Englishmathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous $ 1\psi 1$ summation theorem as ``a remarkable formula with many parameters.'' This is now one of the fundamental theorems of the subject. Despite humble beginnings,the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of thepapers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.

Knots and Physics

Author : Louis H Kauffman
Publisher : World Scientific
ISBN 13 : 9814502375
Total Pages : 740 pages
Book Rating : 4.8/5 (145 download)

DOWNLOAD NOW!

Book Synopsis Knots and Physics by : Louis H Kauffman

Download or read book Knots and Physics written by Louis H Kauffman and published by World Scientific. This book was released on 1994-01-15 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second edition, the following recent papers have been added: “Gauss Codes, Quantum Groups and Ribbon Hopf Algebras”, “Spin Networks, Topology and Discrete Physics”, “Link Polynomials and a Graphical Calculus” and “Knots Tangles and Electrical Networks”. An appendix with a discussion on invariants of embedded graphs and Vassiliev invariants has also been included. This book is an introduction to knot and link invariants as generalized amplitudes (vacuum–vacuum amplitudes) for a quasi-physical process. The demands of knot theory, coupled with a quantum statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related to and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics and knots in dynamical systems. Contents:Physical KnotsStates and the Bracket PolynomialThe Jones Polynomial and Its GeneralizationsBraids and the Jones PolynomialFormal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)qYang-Baxter Models for Specializations of the Homfly PolynomialThe Alexander PolynomialKnot-Crystals — Classical Knot Theory in Modern GuiseThe Kauffman PolynomialThree Manifold Invariants from the Jones PolynomialIntegral Heuristics and Witten' s InvariantsThe Chromatic PolynomialThe Potts Model and the Dichromatic PolynomialThe Penrose Theory of Spin NetworksKnots and Strings — Knotted StringsDNA and Quantum Field TheoryKnots in Dynamical Systems — The Lorenz Attractorand other papers Readership: Physicists, mathematical physicists and mathematicians. keywords: Reviews of the First Edition: “It is an attractive book for physicists with profuse and often entertaining illustrations … proofs … seldom heavy and nearly always well explained with pictures… succeeds in infusing his own excitement and enthusiasm for these discoveries and their potential implications.” Physics Today “… here is a gold mine where, with care and patience, one should get acquainted with a beautiful subject under the guidance of a most original and imaginative mind.” Mathematical Reviews

A Guide to Feynman Diagrams in the Many-Body Problem

Author : Richard D. Mattuck
Publisher : Courier Corporation
ISBN 13 : 0486131645
Total Pages : 464 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis A Guide to Feynman Diagrams in the Many-Body Problem by : Richard D. Mattuck

Download or read book A Guide to Feynman Diagrams in the Many-Body Problem written by Richard D. Mattuck and published by Courier Corporation. This book was released on 2012-08-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.

Quantum Invariants

Author : Tomotada Ohtsuki
Publisher : World Scientific
ISBN 13 : 9814490717
Total Pages : 508 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Quantum Invariants by : Tomotada Ohtsuki

Download or read book Quantum Invariants written by Tomotada Ohtsuki and published by World Scientific. This book was released on 2001-12-21 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern–Simons field theory and the Wess–Zumino–Witten model are described as the physical background of the invariants. Contents: Knots and Polynomial InvariantsBraids and Representations of the Braid GroupsOperator Invariants of Tangles via Sliced DiagramsRibbon Hopf Algebras and Invariants of LinksMonodromy Representations of the Braid Groups Derived from the Knizhnik–Zamolodchikov EquationThe Kontsevich InvariantVassiliev InvariantsQuantum Invariants of 3-ManifoldsPerturbative Invariants of Knots and 3-ManifoldsThe LMO InvariantFinite Type Invariants of Integral Homology 3-Spheres Readership: Researchers, lecturers and graduate students in geometry, topology and mathematical physics. Keywords:Kontsevich Invariant;LMO Invariant;Quantum Groups;Knot;3-Manifold;Quantum Invariant;Vassiliev Invariant;Finite Type Invariant;Chord Diagram;Jacobi Diagram;KZ Equation;Chern-Simons TheoryReviews:“This is a nicely written and useful book: I think that the author has done a great job in explaining quantum invariants of knots and 3-manifolds also on an intuitive and well-motivated, organically growing and not too technical level, at the same time however presenting a lot of material ordered by a clear guiding line.”Mathematics Abstracts “Ohtsuki's book is a very valuable addition to the literature. It surveys the full spectrum of work in the area of quantum invariants … Ohtsuk's book is very readable, for he makes an attempt to present the material in as straightforward a way as possible … the presentation here is very clear and should be easily accessible … this is an excellent book which I would recommend to beginners wanting to learn about quantum invariants and to experts alike.”Mathematical Reviews