Formalism
Definition
Spacetime configurations
Properties
Spacetimes
black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
Quantum theory
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
What is called Einstein-Yang-Mills-Dirac theory in physics is the theory/model (in theoretical physics) describing gravity together with Yang-Mills fields and coupled to fermionic matter.
Einstein-Yang-Mills-Dirac theory is a local Lagrangian field theory defined by the action functional which is the Einstein-Hilbert action plus the Yang-Mills action functional involving the given metric,
where
is the compact smooth manifold underlying spacetime,
is the vielbein field which encodes the field of gravity
is the -principal connection which encodes the Yang-Mills field,
is the volume form induced by ;
is the scalar curvature of ;
is the field strength/curvature differential 2-form of ;
is the Hodge star operator induced by .
is the given invariant polynomial on the Lie algebra of the gauge group.
Einstein-Yang-Mills-Dirac theory
standard model of particle physics and cosmology
theory: | Einstein- | Yang-Mills- | Dirac- | Higgs |
---|---|---|---|---|
gravity | electroweak and strong nuclear force | fermionic matter | scalar field | |
field content: | vielbein field | principal connection | spinor | scalar field |
Lagrangian: | scalar curvature density | field strength squared | Dirac operator component density | field strength squared + potential density |
Section Prequantum gauge theory and Gravity in
Last revised on March 19, 2014 at 04:06:18. See the history of this page for a list of all contributions to it.