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We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric Yang-Mills gauge multiplet minimally coupled to a hypermultiplet in an arbitrary representation of the gauge group. Using the superfield…

High Energy Physics - Theory · Physics 2017-02-08 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We study the one-loop effective action for $6D,$ ${\cal N}=(1,0)$ supersymmetric Yang--Mills (SYM) theory with hypermultiplets and $6D,$ ${\cal N}=(1,1)$ SYM theory as a subclass of the former, using the off-shell formulation of these…

High Energy Physics - Theory · Physics 2017-06-28 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We continue studying $6D, {\cal N}=(1,1)$ supersymmetric Yang-Mills (SYM) theory in the ${\cal N}=(1,0)$ harmonic superspace formulation. Using the superfield background field method we explore the two-loop divergencies of the effective…

High Energy Physics - Theory · Physics 2021-08-18 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We briefly review a recent progress in constructing the low-energy effective action in ${\cal N}=2,4$ super Yang-Mills theories. Using superfield methods we study the one- and two-loop contributions to the effective action in the Coulomb…

High Energy Physics - Theory · Physics 2007-05-23 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

We consider $4D$, $\mathcal{N}=4$, $SU(N)$ super Yang-Mills theory formulated in terms of $\mathcal{N}=1$ superfields where the leading low-energy contributions to effective action are given by chiral effective potential. This effective…

High Energy Physics - Theory · Physics 2026-02-10 I. L. Buchbinder , R. M. Iakhibbaev , D. I. Kazakov , A. I. Mukhaeva , D. M. Tolkachev

This thesis examines low-energy effective actions of supersymmetric quantum field theories. These actions contain information about the low-energy field content and dynamics of quantum field theories and are essential for understanding…

High Energy Physics - Theory · Physics 2014-01-21 Simon James Tyler

The paper is a brief review of the works devoted to problem of effective action in N=2 super Yang-Mills theories in harmonic superspace approach. The formulation of N=2 superfield models in harmonic superspace is discussed, background field…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder

Using formulation of ${\cal N}=4$ SYM theory in terms of ${\cal N}=1$ superfields superfields we construct the derivative expansion of the one-loop ${\cal N}=4$ SYM effective action in background fields corresponding to constant Abelian…

High Energy Physics - Theory · Physics 2007-05-23 A. T. Banin , N. G. Pletnev

We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills field formulated in the ${\cal N}=2$ harmonic superspace. The various gauge-invariant forms of writing the mass term in the action (in particular, using the…

High Energy Physics - Theory · Physics 2008-12-18 I. L. Buchbinder , N. G. Pletnev

We construct a manifestly N=3 supersymmetric low-energy effective action of N=3 super Yang-Mills theory. The effective action is written in the N=3 harmonic superspace and respects the full N=3 superconformal symmetry. On mass shell this…

High Energy Physics - Theory · Physics 2015-06-03 I. L. Buchbinder , E. A. Ivanov , I. B. Samsonov , B. M. Zupnik

We consider $6D$, ${\cal N}=(1,1)$ supersymmetric Yang-Mills theory formulated in ${\cal N}=(1,0)$ harmonic superspace and analyze the structure of the two-loop divergences in the hypermultiplet sector. Using the ${\cal N}=(1,0)$ superfield…

High Energy Physics - Theory · Physics 2018-02-01 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We study the off-shell structure of the two-loop effective action in $6D, {\cal N}=(1,1)$ supersymmetric gauge theories formulated in ${\cal N}=(1,0)$ harmonic superspace. The off-shell effective action involving all fields of $6D, {\cal…

High Energy Physics - Theory · Physics 2023-05-31 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We investigate the perturbative part of Seiberg's low-energy effective action of N=2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the conventional effective field theory technique. Using the method of constant field…

High Energy Physics - Theory · Physics 2009-10-31 M. Chaichian , W. F. Chen , C. Montonen

The one-loop low-energy effective action for non-Abelian N=4 supersymmetric Yang-Mills theory is computed to order $F^6$ by use of heat kernel techniques in N=1 superspace. At the component level, the $F^5$ terms are found to be consistent…

High Energy Physics - Theory · Physics 2014-11-18 Darren T. Grasso

In the mid 1990's Seiberg and Witten determined the exact low energy effective action of $\mathcal{N}=2$ supersymmetric Yang-Mills theory with gauge group $SU(2)$. Later, in the early 2000's Nekrasov calculated this action directly using…

High Energy Physics - Theory · Physics 2020-08-31 Robert Pryor

We compute the one-loop four-point function in {\cal N}=4 supersymmetric Yang-Mills theory with gauge group U(N). We perform the calculation in {\cal N}=1 superspace using the background field method and obtain the complete off-shell…

High Energy Physics - Theory · Physics 2009-10-31 Alberto Santambrogio , Daniela Zanon

We develop a general gauge invariant construction of the one-loop effective action for supersymmetric gauge field theories formulated in ${\cal N}=1/2$ superspace. Using manifestly covariant techniques (the background superfield method and…

High Energy Physics - Theory · Physics 2008-11-26 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

We have carried out a two loop computation of the low-energy effective action for the four-dimensional N=2 supersymmetric Yang-Mills system coupled to hypermultiplets, with the chiral superfields of the vector multiplet lying in an abelian…

High Energy Physics - Theory · Physics 2009-10-30 A. De Giovanni , M. T. Grisaru , M. Rocek , R. von Unge , D. Zanon

We review a detailed investigation of the perturbative part of the low-energy effective action of N=2 supersymmetric Yang-Mills theory in a conventional effective field theory approach. With the restriction that the effective action should…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , W. F. Chen , C. Montonen

Using the ${\cal N}=2$ superfield approach, we construct full ${\cal N}=4$ supersymmetric low-energy effective actions for ${\cal N}=4$ SYM models, with both ${\cal N}=2$ gauge superfield strengths and hypermultiplet superfields included.…

High Energy Physics - Theory · Physics 2009-11-07 I. L. Buchbinder , E. A. Ivanov