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Autor(en): 
  • Eckehard W. Mielke
  • Geometrodynamics of Gauge Fields: On the Geometry of Yang-Mills and Gravitational Gauge Theories 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

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    Lieferstatus:   i.d.R. innert 7-14 Tagen versandfertig
    Veröffentlichung:  Juli 2018  
    Genre:  Naturwissensch., Medizin, Technik 
     
    B / Classical and Quantum Gravitation, Relativity Theory / Classical and Quantum Gravity / Elementary particles (Physics) / Elementary Particles, Quantum Field Theory / Gravitation / Mathematical physics / Physics and Astronomy / Quantum field theory / Quantum physics (quantum mechanics & quantum field theory) / Relativity physics
    ISBN:  9783319806389 
    EAN-Code: 
    9783319806389 
    Verlag:  Springer International Publishing 
    Einband:  Kartoniert  
    Sprache:  English  
    Serie:  Mathematical Physics Studies  
    Dimensionen:  H 235 mm / B 155 mm / D 20 mm 
    Gewicht:  675 gr 
    Seiten:  392 
    Zus. Info:  Paperback 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. 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. 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.

     

    Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravityremains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein's standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.

      
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