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- Nonlinear_Dirac_equation abstract "See Ricci calculus and Van der Waerden notation for the notation.In quantum field theory, the nonlinear Dirac equation is a model of self-interacting Dirac fermions.This model is widely considered in quantum physics as a toy model of self-interacting electrons.The nonlinear Dirac equation appears in the Einstein-Cartan-Sciama-Kibble theory of gravity, which extends general relativity to matter with intrinsic angular momentum (spin). This theory removes a constraint of the symmetry of the affine connection and treats its antisymmetric part, the torsion tensor, as a variable in varying the action. In the resulting field equations, the torsion tensor is a homogeneous, linear function of the spin tensor. The minimal coupling between torsion and Dirac spinors thus generates an axial-axial, spin–spin interaction in fermionic matter, which becomes significant only at extremely high densities. Consequently, the Dirac equation becomes nonlinear (cubic) in the spinor field, which causes fermions to be spatially extended and may remove the ultraviolet divergence in quantum field theory.".
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- Nonlinear_Dirac_equation wikiPageLength "7223".
- Nonlinear_Dirac_equation wikiPageOutDegree "41".
- Nonlinear_Dirac_equation wikiPageRevisionID "592907559".
- Nonlinear_Dirac_equation wikiPageWikiLink Affine_connection.
- Nonlinear_Dirac_equation wikiPageWikiLink Category:Dirac_equation.
- Nonlinear_Dirac_equation wikiPageWikiLink Category:Quantum_field_theory.
- Nonlinear_Dirac_equation wikiPageWikiLink Coupling_constant.
- Nonlinear_Dirac_equation wikiPageWikiLink Covariant_derivative.
- Nonlinear_Dirac_equation wikiPageWikiLink Dirac_adjoint.
- Nonlinear_Dirac_equation wikiPageWikiLink Dirac_equation.
- Nonlinear_Dirac_equation wikiPageWikiLink Dirac_equation_in_the_algebra_of_physical_space.
- Nonlinear_Dirac_equation wikiPageWikiLink Dirac_fermion.
- Nonlinear_Dirac_equation wikiPageWikiLink Dirac_spinor.
- Nonlinear_Dirac_equation wikiPageWikiLink Einstein–Cartan_theory.
- Nonlinear_Dirac_equation wikiPageWikiLink Electron.
- Nonlinear_Dirac_equation wikiPageWikiLink Fermion.
- Nonlinear_Dirac_equation wikiPageWikiLink Feynman_slash_notation.
- Nonlinear_Dirac_equation wikiPageWikiLink Four-gradient.
- Nonlinear_Dirac_equation wikiPageWikiLink Gamma_matrices.
- Nonlinear_Dirac_equation wikiPageWikiLink General_relativity.
- Nonlinear_Dirac_equation wikiPageWikiLink Gross–Neveu_model.
- Nonlinear_Dirac_equation wikiPageWikiLink Higher-dimensional_gamma_matrices.
- Nonlinear_Dirac_equation wikiPageWikiLink Index_notation.
- Nonlinear_Dirac_equation wikiPageWikiLink Lagrangian_(field_theory).
- Nonlinear_Dirac_equation wikiPageWikiLink Mass.
- Nonlinear_Dirac_equation wikiPageWikiLink Metric_tensor.
- Nonlinear_Dirac_equation wikiPageWikiLink Nonlinear_Schrödinger_equation.
- Nonlinear_Dirac_equation wikiPageWikiLink Quantum_field_theory.
- Nonlinear_Dirac_equation wikiPageWikiLink Quantum_mechanics.
- Nonlinear_Dirac_equation wikiPageWikiLink Ricci_calculus.
- Nonlinear_Dirac_equation wikiPageWikiLink Soler_model.
- Nonlinear_Dirac_equation wikiPageWikiLink Spacetime.
- Nonlinear_Dirac_equation wikiPageWikiLink Spin_(physics).
- Nonlinear_Dirac_equation wikiPageWikiLink Spin_connection.
- Nonlinear_Dirac_equation wikiPageWikiLink Spin_tensor.
- Nonlinear_Dirac_equation wikiPageWikiLink Spinor.
- Nonlinear_Dirac_equation wikiPageWikiLink Thirring_model.
- Nonlinear_Dirac_equation wikiPageWikiLink Torsion_tensor.
- Nonlinear_Dirac_equation wikiPageWikiLink Toy_model.
- Nonlinear_Dirac_equation wikiPageWikiLink Ultraviolet_divergence.
- Nonlinear_Dirac_equation wikiPageWikiLink Van_der_Waerden_notation.
- Nonlinear_Dirac_equation wikiPageWikiLinkText "Dirac equation".
- Nonlinear_Dirac_equation wikiPageWikiLinkText "Nonlinear Dirac equation".
- Nonlinear_Dirac_equation wikiPageWikiLinkText "nonlinear Dirac equation".
- Nonlinear_Dirac_equation wikiPageUsesTemplate Template:=.
- Nonlinear_Dirac_equation wikiPageUsesTemplate Template:Math.
- Nonlinear_Dirac_equation wikiPageUsesTemplate Template:Overline.
- Nonlinear_Dirac_equation wikiPageUsesTemplate Template:Quantum_field_theory.
- Nonlinear_Dirac_equation subject Category:Dirac_equation.
- Nonlinear_Dirac_equation subject Category:Quantum_field_theory.
- Nonlinear_Dirac_equation hypernym Model.
- Nonlinear_Dirac_equation type Person.
- Nonlinear_Dirac_equation type Mechanic.
- Nonlinear_Dirac_equation type Physic.
- Nonlinear_Dirac_equation comment "See Ricci calculus and Van der Waerden notation for the notation.In quantum field theory, the nonlinear Dirac equation is a model of self-interacting Dirac fermions.This model is widely considered in quantum physics as a toy model of self-interacting electrons.The nonlinear Dirac equation appears in the Einstein-Cartan-Sciama-Kibble theory of gravity, which extends general relativity to matter with intrinsic angular momentum (spin).".
- Nonlinear_Dirac_equation label "Nonlinear Dirac equation".
- Nonlinear_Dirac_equation sameAs Q7049458.
- Nonlinear_Dirac_equation sameAs m.0r4vxj8.
- Nonlinear_Dirac_equation sameAs Q7049458.
- Nonlinear_Dirac_equation wasDerivedFrom Nonlinear_Dirac_equation?oldid=592907559.
- Nonlinear_Dirac_equation isPrimaryTopicOf Nonlinear_Dirac_equation.