Electroweak Theory with a Minimal Length

Understand

According to the introduction of a minimal length to quantum field theory which is directly related to a generalized uncertainty principle the implementation of the gauge principle becomes much more intricated.

• It has been shown in another paper how gauge theories have to be extended in general, if there is assumed the existence of a minimal length.
• In this paper this generalization of the description of gauge theories is applied to the case of Yang-Mills theories with gauge group SU(N) to consider especially the application to the electroweak theory as it appears in the standard model.
• The modifications of the lepton-, Higgs- and gauge field sector of the extended Lagrangian of the electroweak theory maintaining local gauge invariance under $SU(2)_L\otimes U(1)_Y$ transformations are investigated.