The investigation of Slavnov-Taylor identities in modified noncovariant gauges

The quantization of nonabelian gauge fields in noncovariant gauges plays an essential role for understanding of many problems in field theories. The main advantage of axial type gauges is the decoupling of Fadeev-Popov fields from the gauge fields. This means that ghost particles do not contribute to loop diagrams. However in these gauges after quantization the effective lagranjian has a residual symmetry which leads to the appearance of unphysical poles in the gauge field propagator. The treatment of poles requires introducing a modified noncovariant gauge. The aim of this paper is to study the Slavnov- Taylor identity which plays a central role in the renormalizability of the theory. We consider a modified noncovariant gauge , VμAμa=0, where Vμ=nμ+ε(kμh(k)+nμt(k)) in the momentum space, with h(k) and t(k) are arbitrary functions. We used the standard path integral quantization method and obtained the Slavnov-Taylor identity in the considered gauge. We investigated special cases choosing functions h(k) and t(k) in different forms, and we analyzed the behavior of obtained identities in the limit ε→0