1208.3521 (Kei-Ichi Kondo)

A nonperturbative construction of massive Yang-Mills fields without
Higgs fields    [PDF]

Kei-Ichi Kondo

In order to understand the so-called decoupling solution for gluon and ghost propagators in QCD, we give a nonperturbative construction of a massive vector field describing a non-Abelian massive spin-one particle, which has the correct physical degrees of freedom and is invariant under a modified BRST transformation, in a massive Yang-Mills model without the Higgs field, i.e., the Curci-Ferrari model. The resulting non-Abelian massive vector boson field is written using a nonlinear but local transformation from the original fields in the Curci-Ferrari model. As an application, we write down a local mass term for the Yang-Mills field and a dimension-two condensate, which are exactly invariant under the modified BRST transformation, Lorentz transformation and color rotation.

View original: http://arxiv.org/abs/1208.3521