nLab
Einstein-Yang-Mills-Dirac-Higgs theory

Context

Gravity

,

Formalism

    • , ,
  • (-)

    • -

Definition

  • , ,

    • ,

    • , ,

Spacetime configurations

Properties

Spacetimes

vanishing positive
vanishing
positive

Quantum theory

    • ,

Differential cohomology

Ingredients

Connections on bundles

    • ,
    • ,

Higher abelian differential cohomology

    • ,

    • ,

Higher nonabelian differential cohomology

  • ,

  • ,

Fiber integration

Application to gauge theory

    • /

Physics

, ,

Surveys, textbooks and lecture notes

  • ,


,

, ,

    • , , , ,

      • ,

      • ,

      • ,

        • ,

      • and
    • Axiomatizations

          • ,
        • -theorem

    • Tools

      • ,

        • ,

        • ,
    • Structural phenomena

    • Types of quantum field thories

        • ,

        • , ,

        • examples

          • ,
          • ,
        • , , , ,

        • , ,

Contents

Idea

The theory in physics which describes the fundamental physics of the observable universe to best present knowledge is a local Lagrangian field theory which combines

theory:Einstein-Maxwell-Yang-Mills-Dirac-Higgs
gravityelectromagnetismelectroweak and strong nuclear forcefermionic matterscalar field
fieldsvielbein field eeU(1)U(1)-principal connection em\nabla_{em}GG-principal connectionspinor ψ\psiscalar field HH
Lagrangian L=L = R(e)vol(e)+R(e) vol(e) + F eF +F_{\nabla_{}} \wedge \star_e F_{\nabla_{}} + (ψ,Dψ)vol(e)+(\psi , D \psi) vol(e) + H¯ eH+(λ|H| 4μ 2|H| 2)vol(e)\nabla \bar H \wedge \star_e \nabla H + \left(\lambda {\vert H\vert}^4 - \mu^2 {\vert H\vert}^2 \right) vol(e)

References

Section Prequantum gauge theory and Gravity in

Last revised on March 19, 2014 at 04:16:56. See the history of this page for a list of all contributions to it.