,
()

, ,
,
, ,
vanishing  positive  

vanishing  
positive 
,
,
,
,
,
/
, ,
,
,
, ,
, , , ,
,
,
,
,
Axiomatizations
theorem
Tools
,
,
Structural phenomena
Types of quantum field thories
,
, ,
examples
, , , ,
, ,
What is called EinsteinYangMills theory in physics is the theory/model (in theoretical physics) describing gravity together with YangMills fields such as the electroweak field or the strong nuclear force of quantum chromodynamics. For the special case that the gauge group is the circle group this reproduces EinsteinMaxwell theory.
EinsteinYangMills theory is a local Lagrangian field theory defined by the action functional which is the EinsteinHilbert action plus the YangMills action functional involving the given metric,
where
$X$ is the compact smooth manifold underlying spacetime,
$e$ is the vielbein field which encodes the field of gravity
$\nabla$ is the $G$principal connection which encodes the YangMills field,
$vol(e)$ is the volume form induced by $e$;
$R(e)$ is the scalar curvature of $e$;
$F_\nabla$ is the field strength/curvature differential 2form of $\nabla$;
$\star_e$ is the Hodge star operator induced by $e$.
$\langle ,\rangle$ is the given invariant polynomial on the Lie algebra of the gauge group.
EinsteinYangMills theory
:        

and  
content:  $e$  $\nabla$  $\psi$  $H$ 
:  density  squared  component density  squared + potential density 
$L =$  $R(e) vol(e) +$  $\langle F_\nabla \wedge \star_e F_\nabla\rangle +$  $(\psi , D_{(e,\nabla)} \psi) vol(e) +$  $\nabla \bar H \wedge \star_e \nabla H + \left(\lambda {\vert H\vert}^4  \mu^2 {\vert H\vert}^2 \right) vol(e)$ 
Section Prequantum gauge theory and Gravity in
Last revised on September 20, 2016 at 00:22:18. See the history of this page for a list of all contributions to it.