Title screen

[References: p. 156-158 (42 tit.)]

We study the one-loop effective action for 6D , N=(1,0) supersymmetric Yang-Mills (SYM) theory with hypermultiplets and 6D , N=(1,1) SYM theory as a subclass of the former, using the off-shell formulation of these theories in 6D , N=(1,0) harmonic superspace. We develop the corresponding supergraph technique and apply it to compute the one-loop divergences in the background field method ensuring the manifest gauge invariance. We calculate the two-point Green functions of the gauge superfield and the hypermultiplet, as well as the three-point gauge-hypermultipet Green function. Using these Green functions and exploiting gauge invariance of the theory, we find the full set of the off-shell one-loop divergent contributions, including the logarithmic and power ones. Our results precisely match with those obtained earlier in [1] ; [2] within the proper time superfield method.