B.S. Merzlikin

One-loop divergences in the 6D, N=(1,0) abelian gauge theory

Abstract We consider, in the harmonic superspace approach, the six-dimensional N = ( 1 , 0 ) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. The superficial degree of divergence is evaluated and the structure of possible one-loop divergences is analyzed. Using the superfield proper-time and background-field technique, we compute the divergent part of the one-loop effective action depending on both the gauge multiplet and the hypermultiplet. The corresponding counterterms contain the purely gauge multiplet contribution together with the mixed contributions of the gauge multiplet and hypermultiplet. We show that the theory is on-shell one-loop finite in the gauge multiplet sector in agreement with the results of [1] . The divergences in the mixed sector cannot be eliminated by any field redefinition, implying the theory to be UV divergent at one loop.

Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories

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.

Two-loop effective potentials in general N=2, d=3 chiral superfield model

Abstract We study local superspace contributions to the low-energy effective action in general chiral three-dimensional superfield model. The effective Kahler and chiral potentials are computed in an explicit form up to the two-loop order. In accordance with the non-renormalization theorem, the ultraviolet divergences appear only in the full superspace while the effective chiral potential receives only finite quantum contributions in the massless case. As an application, the two-loop effective scalar potential is found for the three-dimensional N = 2 supersymmetric Wess–Zumino model.

Two-loop low-energy effective actions in \mathcal{N}=2 and \mathcal{N}=4 three-dimensional SQED

A bstractWe study two-loop Euler-Heisenberg effective actions in three-dimensional

One-loop divergences in 6D, N = (1, 0) SYM theory

\mathcal{N}=2

Induced low-energy effective action in the 6D, N=(1,0) hypermultiplet theory on the vector multiplet background

and

Loop expansion of the average effective action in the functional renormalization group approach

\mathcal{N}=4

Two-loop low-energy effective action in Abelian supersymmetric Chern–Simons matter models

supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with slowly-varying

On the two-loop divergences of the 2-point hypermultiplet supergraphs for

\mathcal{N}=2

6D

gauge superfield. Using these propagators we compute two-loop effective actions in the