Nonperturbative construction of massive Yang-Mills fields without the Higgs field

作者：Kondo Kei Ichi^*

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2013, 87(2): 025008.

DOI：10.1103/PhysRevD.87.025008

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 by 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. DOI: 10.1103/PhysRevD.87.025008

• 出版日期2013-1-3