nLab Einstein-Yang-Mills-Dirac-Higgs theory




Differential cohomology


physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

theory (physics), model (physics)

experiment, measurement, computable physics



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

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)


Section Prequantum gauge theory and Gravity in

On Yang-Mills monopoles:

  • K. Lee, V. P. Nair, Erick J. Weinberg, Black Holes in Magnetic Monopoles, Phys. Rev. D45 (1992) 2751-2761 (arXiv:hep-th/9112008)

  • H. W. Braden, V. Varela, Solutions for Einstein-Yang-Mills-Dilaton- σ Models, Phys. Rev. D58:124020, 1998 (arXiv:hep-th/9804204)

  • Betti Hartmann, Burkhard Kleihaus, Jutta Kunz, Axially Symmetric Monopoles and Black Holes in Einstein-Yang-Mills-Higgs Theory, Phys. Rev. D65 (2002) 024027 (arXiv:hep-th/0108129)

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