Gauge Symmetry and Transverse Symmetry Transformations in Gauge Theories

The transverse symmetry transformations associated with the normal symmetry transformations are proposedto build the transverse constraints on the basic vertices in gauge theories.I show that,while the BRST symmetryin non-Abelian gauge theory QCD (Quantum Chromodynamics) leads to the Slavnov-Taylor identity for the quark-gluonvertex which constrains the longitudinal part of the vertex,the transverse symmetry transformation associated with theBRST symmetry enables to derive the transverse Slavnov-Taylor identity for the quark-gluon vertex,which constrainsthe transverse part of the quark-gluon vertex from the gauge symmetry of QCD.