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Sunday, December 6, 2020 | History

7 edition of Yang-Mills, Kaluza-Klein, and the Einstein program found in the catalog.

Yang-Mills, Kaluza-Klein, and the Einstein program

  • 82 Want to read
  • 5 Currently reading

Published by Math Sci Press in Brookline, Mass .
Written in English

    Subjects:
  • Mathematical physics.,
  • Unified field theories.,
  • Quantum theory.,
  • Kaluza-Klein theories.,
  • Yang-Mills theory.

  • Edition Notes

    Includes bibliographical references.

    StatementRobert Hermann, with contributions by Frank Estabrook and Hugo Wahlquist.
    SeriesInterdisciplinary mathematics ; v. 19
    Classifications
    LC ClassificationsQC20 .H488
    The Physical Object
    Paginationxii, 198 p. :
    Number of Pages198
    ID Numbers
    Open LibraryOL4721361M
    ISBN 100915692252
    LC Control Number78008461


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Yang-Mills, Kaluza-Klein, and the Einstein program by Hermann, Robert Download PDF EPUB FB2

: Yang-Mills, Kaluza-Klein, and the Einstein Program (Interdisciplinary Mathematics ; V. 19) (): Robert Hermann: BooksCited by: Yang-Mills, Kaluza-Klein, and the Einstein Program | Robert Hermann | download | B–OK.

Download books for free. Find books. Additional Physical Format: Online version: Hermann, Robert, Yang-Mills, Kaluza-Klein, and the Einstein program. Brookline, Mass.: Math Sci Press, © Ebooks list page: ; Yang-Mills, Kaluza-Klein, and the Einstein Program (Interdisciplinary Mathematics ; V. 19); Yang-Mills, Kaluza-Klein, and the Einstein Program; [PDF] The Thermodynamics of Quantum Yang-Mills Theory: Theory and Applications; The Thermodynamics of Quantum Yang-Mills Theory: Theory and.

The Kaluza–Klein theory is a shining example of Einstein’s unification program. It not only unifies gravitation with electromagnetism in a GR theory with a 5D spacetime but also suggests a possible interpretation of the charge space and gauge symmetry as reflecting the existence of a compactified extra dimension.

The ‘Kaluza–Klein miracle’ is the discovery that the GR field equation. What is called Einstein-Yang-Mills theory in physics is the theory/model (in theoretical physics) describing gravity together with Yang-Mills fields such as the electroweak field or the strong nuclear force of quantum chromodynamics.

For the special case that the gauge group is the circle group this reproduces Einstein-Maxwell theory. Topics in the quantum theory of fields are considered. The following subjects are addressed: Yang-Mills, Kaluza-Klein and Riemannian submersions with totally geodesic fibers; the geometry of the Dirac magnetic monopoles, fiber bundles and connections; the differential-geometric theory of quantum mechanics - local and global quantization.

dimensional Einstein-Yang-Mills theory after dimensional reduction). To our knowl-edge, thispointhas never been discussed hitherto. Perhaps thiscomes fromthe belief that, when one neglects the electromagnetic field, the Kaluza-Klein theory reduces to the special case ω = 0 of the Brans-Dicke theory (which is true but needs further discussion).

Einstein considered ve dimensional classical Kaluza-Klein theory. He studied this theory most intensively during the years One of his primary objectives was nding a non-singular particle solution. In the full theory this search got frustrated andinthex5-independent theory Einstein, together with Pauli, argued it would be.

in Ref. [7]. Later history covering the application of the Yang-Mills theory to the electroweak and strong interactions is beyond our scope. The main features of these applications are well-known and are covered in contemporary text-books. A modern aspect that we do wish to mention, however, is the emergence of both gauge-theory and dimensional.

4. Einstein on classical Kaluza–Klein. We now make a leap in time and turn to the study Einstein made of classical Kaluza–Klein theory in the years – Einstein, Bergmann, and Bargmann.

The first paper of this period starts with a re-evaluation of Kaluza's theory, where the dilaton has been set to a constant (thus L= −g (R. Modern Kaluza-Klein Theories Volume 65 of Frontiers in Physics: a lecture note and reprint series Issue 65 of Frontiers in physics, ISSN Editors: Thomas Appelquist, Alan Chodos, Peter George Oliver Freund: Contributors: Alan Chodos, Peter George Oliver Freund: Edition: illustrated: Publisher: Addison-Wesley Publishing Company,   The (n + 4)-dimensional Einstein action becomes a sum of the four-dimensional Einstein action, the Yang-Mills action and a cosmological term.

Recently the Kaluza-Klein-type theory has attracted renewed interest in the hope that we may eventually have a unified geometrical view of all forces in Nature [3 ]. The Kaluza-Klein mechanism, named after Theodor Kaluza and Oskar Klein, is the observation that pure gravity on a product spacetime X × F X \times F with fixed metric g F g_F on F F looks on X X, as an effective field theory, like gravity coupled to Yang-Mills theory – Einstein-Yang-Mills theory – for gauge group G G the Lie group of.

b 97 (); in *appelquist, t. (ed.) et al.: modern kaluza-klein theories*, (phys. lett. b97 () ) and chicago univ. - efi Einstein’s equations A scenic tour of General Relativity Lecture Modern outlook (LA). [(Friday, J )] An introduction to Kaluza-Klein theory An outlook on the role of the tools introduced in this course in modern physics and geometry.

Supplementary Material. We recommend John Baez & Javier P. Muniain’s book Gauge Fields, Knots. Kerner, Generalization of the Kaluza-Klein theory for an arbitrary non-Abelian gauge group, Ann.

Inst. Henri Poincaré 9 () The system of Einstein-Yang-Mills equations is derived from a geometric principle of least action.

The author misses a ‘cosmological’ term arising in the non-Abelian case. MathSciNet Google Scholar. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included.

By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action.

In general Yang-Mills theory [1] seems to be different from the dimensional reduced Kaluza–Klein theory. However, the historical account was that people tried to trace back the origin of non-Abelian gauge theory (generalize the 2-form field strength / curvature for 1-form gauge field connection from the fiber bundle of non-abelian Lie group, such as SU(n)) even before the works of Yang.

Kaluza-Klein theory is a classical theory that unifies gravity and electromagnetism by showing that general relativity in 5-dimensions reduces to the equations of 4-dimensional general relativity and the Maxwell equations in 4 dimensions.

On the Geometry of Yang-Mills and Gravitational Gauge Theories. Authors (view affiliations) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed.

Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity. This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action.

It would definitely prove interesting reading to physicists and mathematicians, theoretical and experimental. Yang-Mills, Kaluza-Klein, and the Einstein program.

Book Hermann, R. Topics in the quantum theory of fields are considered. The following subjects are addressed: Yang-Mills, Kaluza-Klein and Riemannian submersions with totally geodesic fibers; the geometry of the Dirac magnetic monopoles, fiber bundles and connections; the differential.

Finally, we would like to study the link, provided by the idea of symplectic realization, of our constructions with classical gravitational, Yang-Mills and Kaluza-Klein theory ([14, 19, In physics, Kaluza–Klein theory (KK theory) is a classical unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension beyond the usual four of space and time and considered an important precursor to string theory.

Gunnar Nordström had an earlier, similar idea. But in that case, a fifth component was added to the electromagnetic vector potential.

Yang-Mills, Kaluza-Klein, and the Einstein program by Robert Hermann (Book) 1 edition published Differential Group theory Invariants Kaluza-Klein theories Lie algebras Lie groups Linear systems Manifolds (Mathematics).

It is argued that the ground state of the Kaluza-Klein unified theory is unstable against a process of semiclassical barrier penetration. This is related to the fact that the positive energy conjecture does not hold for the Kaluza-Klein theory; an explicit counter-example is given.

It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed.

This monograph aims to provide a unified, geometrical foundation of. References [Atiyah, ] M. Atiyah, Geometry of Yang-Mills fields, Accademia Nazionale dei Lincei, Scuola Normale Superiore, Pisa, ; report at   Similarly, in Kaluza-Klein theory, we live in a four-dimensional spacetime on the surface of a very small circle, which is the fifth dimension.

The shape of the circle is reflected in our world as electromagnetic force. How It Works. Now let’s see if we can’t understand Kaluza-Klein.

We start from quantum field theory in curved spacetime to derive a new Einstein-like energy mass relation of the type E=γmc2 where γ=1/22 is a Yang-Mills Lorentzian factor, m is the mass and c is the velocity of light. Although quantum field in curved spacetime is not a complete quantum gravity theory, our prediction here of % dark energy missing in the cosmos is almost in complete.

In physics, Kaluza–Klein theory (KK theory) is a classical unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension beyond the usual four of space and time and considered an important precursor to string theory.

Gunnar Nordström had an earlier, similar idea. Following earlier work, it is inquired how far the 5‐D Kaluza–Klein equations without sources may be reduced to the Einstein equations with sources.

It is shown by algebraic means that this can be done, provided the extra part of the 5‐D geometry is used appropriately to define an effective 4‐D energy‐momentum tensor. Einstein Gravity in a Nutshell - Ebook written by A. Zee. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Einstein Gravity in a Nutshell. : Riemannian Geometry, Fibre Bundles, Kaluza-Klein Theories And All That (World Scientific Lecture Notes in Physics) (): Arkadiusz Jadczyk, Coquereaux, R: Books.

We study the complete Kaluza-Klein expansion of Yang-Mills theory on a compact manifold. The moduli space of Yang-Mills gauge potentials is a principal fiber bundle, whose metric determines the kinetic terms for charged scalar fields in the Kaluza-Klein expansion.

We present an expression for the physical metric on moduli space in. xxvi, pages: 26 cm. Access-restricted-item true Addeddate Book_price Bookplateleaf. Kaluza klein elmélet.

Kaluza-Klein-elmélet és Fény Többet látni» Georg Friedrich Bernhard Riemann - Selasca, július ) német matematikus, aki rövid élete ellenére úttörő munkát végzett a matematikai analízis, differenciálgeometria, matematikai fizika és analitikus számelmélet területén Ebben a vonatkoztatásban, a húrelmélet úgy tekinthető mintha a.

Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion.

and higher-dimensional, non-abelian Kaluza-Klein theories. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories.

Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to .