A local gauge invariant infrared regularization of the Yang-Mills theory

A local gauge invariant infrared regularization for the Yang-Mills theory is constructed on the basis of a higher derivative formulation of the model.Comment: 7 page

Hierarchy of massive gauge fields

An explicitely gauge invariant polynomial action for massive gauge fields is proposed. For different values of parameters it describes massive Yang-Mills field, the Higgs-Kibble model, the model with spontaneously broken symmetry and two scalar mesons.Comment: 8 pages, no figure

Covariant formulation of non-Abelian gauge theories without anticommuting variables

A manifestly Lorentz invariant effective action for Yang-Mills theory depending only on commuting fields is constructed. This action posesses a bosonic symmetry, which plays a role analogous to the BRST symmetry in the standard formalism.Comment: 8 pages, Late

Summation of diagrams in N=1 supersymmetric electrodynamics, regularized by higher derivatives

For the massless N=1supersymmetric electrodynamics, regularized by higher derivatives, the Feynman diagrams, which define the divergent part of the two-point Green function and can not be found from Schwinger-Dyson equations and Ward identities, are partially summed. The result can be written as a special identity for Green functions.Comment: 16 pages, 10 figure