A nonperturbative construction of massive Yang-Mills fields without Higgs fields
Abstract
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 Becchi-Rouet-Stora-Tyutin 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 Becchi-Rouet-Stora-Tyutin transformation, Lorentz transformation and color rotation.
Cite
@article{arxiv.1208.3521,
title = {A nonperturbative construction of massive Yang-Mills fields without Higgs fields},
author = {Kei-Ichi Kondo},
journal= {arXiv preprint arXiv:1208.3521},
year = {2015}
}
Comments
10 pages, no figure, sec.V is added, references updated, a version published in Phys.Rev.D