B. Merzlikin

activity

20122023

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

24 citations · 169 across the 24 of their papers we have counts for

collaborators

23 papers

hep-th2023

One-loop divergences of effective action in $6 D, N = (1, 0)$ supersymmetric four-derivative gauge theory

A. S. Budekhina, B. S. Merzlikin

We consider six-dimensional higher-derivative $N = (1, 0)$ supersymmetric gauge theory coupled with the hypermultiplet. We use the background superfield method in six-dimension…

hep-th2022★ 2 cited

On two-loop divergences of effective action in $6 D$ , $N = (1, 1)$ SYM theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin +1

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

hep-th2021

On a structure of the one-loop divergences in $4 D, N = 2$ supersymmetric sigma-model

I. L. Buchbinder, A. S. Budekhina, B. S. Merzlikin

We study the quantum structure of four-dimensional $N = 2$ superfield sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield $ω$ . The mo…

hep-th2021★ 5 cited

On the two-loop divergences in 6D, $N = (1, 1)$ SYM theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin +1

We continue studying $6 D, N = (1, 1)$ supersymmetric Yang-Mills (SYM) theory in the $N = (1, 0)$ harmonic superspace formulation. Using the superfield background field meth…

hep-th2021★ 2 cited

One-loop divergences in the six-dimensional $N = (1, 0)$ hypermultiplet self-coupling model

A. S. Budekhina, B. S. Merzlikin

We study the six-dimensional $N = (1, 0)$ supersymmetric hypermultiplet model with arbitrary self-coupling. The model is considered in the external classical gauge superfield ba…

hep-th2020★ 11 cited

The renormalization structure of $6 D$ , $N = (1, 0)$ supersymmetric higher-derivative gauge theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin +1

We consider the harmonic superspace formulation of higher-derivative $6 D$ , $N = (1, 0)$ supersymmetric gauge theory and its minimal coupling to a hypermultiplet. In components,…

hep-th2020★ 1 cited

Supergraph calculation of one-loop divergences in higher-derivative $6 D$ SYM theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin +1

We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of $6 D$ , $N = (1, 0)$ supersymmetric higher-derivative gauge theor…

hep-th2019★ 1 cited

Quantum calculation of the low-energy effective action in $5 D$ , $N = 2$ SYM theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin

We consider $5 D$ , $N = 2$ supersymmetric Yang-Mills (SYM) theory in $5 D$ , $N = 1$ harmonic superspace as a theory of the interacting adjoint $5 D$ , $N = 1$ gauge mult…

hep-th2019★ 5 cited

Low-energy $6 D$ , $N = (1, 1)$ SYM effective action beyond the leading approximation

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin

For $6 D$ , $N = (1, 1)$ SYM theory formulated in $N = (1, 0)$ harmonic superspace as a theory of interacting gauge multiplet and hypermultiplet we construct the ${\cal N}=(1…

hep-th2019★ 4 cited

Superfield approach to higher derivative N=1 superconformal mechanics

Ivan Masterov, Boris Merzlikin

We formulate the equations which determine a potential function in an $N = 1$ higher derivative supersymmetric mechanics compatible with the $os p (2∣1) \oplus so (d)$ symmetry…

hep-th2019★ 8 cited

On the component structure of one-loop effective actions in $6 D$ , $N = (1, 0)$ and $N = (1, 1)$ supersymmetric gauge theories

I. L. Buchbinder, A. S. Budekhina, B. S. Merzlikin

We study the six-dimensional $N = (1, 0)$ and $N = (1, 1)$ supersymmetric Yang-Mills (SYM) theories in the component formulation. The one-loop divergencies of effective act…

hep-th2019★ 7 cited

On gauge dependence of the one-loop divergences in $6 D$ , $N = (1, 0)$ and $N = (1, 1)$ SYM theories

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin +1

We study the gauge dependence of one-loop divergences in a general matter-coupled $6 D$ , $N = (1, 0)$ supersymmetric gauge theory in the harmonic superspace formulation. Our ana…

hep-th2019★ 2 cited

Harmonic superspace approach to the effective action in six-dimensional supersymmetric gauge theories

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin +1

We review the recent progress in studying the quantum structure of $6 D$ , $N = (1, 0)$ and $N = (1, 1)$ supersymmetric gauge theories formulated through unconstrained harmon…

hep-th2018★ 12 cited

Gauge dependence of the one-loop divergences in $6 D$ , $N = (1, 0)$ abelian theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin +1

We study the gauge dependence of the one-loop effective action for the abelian $6 D$ , $N = (1, 0)$ supersymmetric gauge theory formulated in harmonic superspace. We introduce th…

hep-th2017★ 11 cited

Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F (ϕ) R$ coupling

Boris S. Merzlikin, Ilya L. Shapiro, Andreas Wipf +1

Using covariant methods, we construct and explore the Wetterich equation for a non-minimal coupling $F (ϕ) R$ of a quantized scalar field to the Ricci scalar of a prescribed curved s…

hep-th2017★ 9 cited

Leading low-energy effective action in $6 D$ , $N = (1, 1)$ SYM theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin

We elaborate on the low-energy effective action of $6 D, N = (1, 1)$ supersymmetric Yang-Mills (SYM) theory in the $N = (1, 0)$ harmonic superspace formulation. The theory…

hep-th2016★ 8 cited

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

I. L. Buchbinder, B. S. Merzlikin, N. G. Pletnev

We consider the six dimensional N=(1,0) hypermultiplet model coupled to an external field of the Abelian vector multiplet in harmonic superspace approach. Using the superfield prop…

hep-th2016★ 18 cited

Legendre transformations and Clairaut-type equations

Peter M. Lavrov, Boris S. Merzlikin

It is noted that the Legendre transformations in the standard formulation of quantum field theory have the form of functional Clairaut-type equations. It is shown that in presence…

hep-th2015★ 5 cited

On effective Kähler potential in N=2, d=3 SQED

I. L. Buchbinder, B. S. Merzlikin

We compute the two-loop effective Kähler potential in three-dimensional N=2 supersymmetric electrodynamics with Chern-Simons kinetic term for the gauge superfield. The effective ac…

hep-th2015★ 13 cited

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

Peter M. Lavrov, Boris S. Merzlikin

We formulate a perturbation expansion for the effective action in a new approach to the functional renormalization group method based on the concept of composite fields for regulat…

hep-th2013★ 7 cited

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

I. L. Buchbinder, B. S. Merzlikin, I. B. Samsonov

We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a…

hep-th2013★ 6 cited

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

I. L. Buchbinder, B. S. Merzlikin, I. B. Samsonov

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact express…

hep-th2012★ 24 cited

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

I. L. Buchbinder, B. S. Merzlikin, I. B. Samsonov

We study local superspace contributions to low-energy effective action in general chiral three-dimensional superfield model. The effective Kahler and chiral potentials are computed…

One-loop divergences of effective action in 6D,N=(1,0) supersymmetric four-derivative gauge theory

On two-loop divergences of effective action in 6D, N=(1,1) SYM theory

On a structure of the one-loop divergences in 4D,N=2 supersymmetric sigma-model

On the two-loop divergences in 6D, N=(1,1) SYM theory

One-loop divergences in the six-dimensional N=(1,0) hypermultiplet self-coupling model

The renormalization structure of 6D, N=(1,0) supersymmetric higher-derivative gauge theory

Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory

Quantum calculation of the low-energy effective action in 5D, N=2 SYM theory

Low-energy 6D, N=(1,1) SYM effective action beyond the leading approximation

Superfield approach to higher derivative N=1 superconformal mechanics

On the component structure of one-loop effective actions in 6D, N=(1,0) and N=(1,1) supersymmetric gauge theories

On gauge dependence of the one-loop divergences in 6D, N=(1,0) and N=(1,1) SYM theories

Harmonic superspace approach to the effective action in six-dimensional supersymmetric gauge theories

Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory

Renormalization group flows and fixed points for a scalar field in curved space with nonminimal F(ϕ)R coupling

Leading low-energy effective action in 6D, N=(1,1) SYM theory

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

Legendre transformations and Clairaut-type equations

On effective Kähler potential in N=2, d=3 SQED

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

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

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

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

One-loop divergences of effective action in $6 D, N = (1, 0)$ supersymmetric four-derivative gauge theory

On two-loop divergences of effective action in $6 D$ , $N = (1, 1)$ SYM theory

On a structure of the one-loop divergences in $4 D, N = 2$ supersymmetric sigma-model

On the two-loop divergences in 6D, $N = (1, 1)$ SYM theory

One-loop divergences in the six-dimensional $N = (1, 0)$ hypermultiplet self-coupling model

The renormalization structure of $6 D$ , $N = (1, 0)$ supersymmetric higher-derivative gauge theory

Supergraph calculation of one-loop divergences in higher-derivative $6 D$ SYM theory

Quantum calculation of the low-energy effective action in $5 D$ , $N = 2$ SYM theory

Low-energy $6 D$ , $N = (1, 1)$ SYM effective action beyond the leading approximation

On the component structure of one-loop effective actions in $6 D$ , $N = (1, 0)$ and $N = (1, 1)$ supersymmetric gauge theories

On gauge dependence of the one-loop divergences in $6 D$ , $N = (1, 0)$ and $N = (1, 1)$ SYM theories

Gauge dependence of the one-loop divergences in $6 D$ , $N = (1, 0)$ abelian theory

Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F (ϕ) R$ coupling

Leading low-energy effective action in $6 D$ , $N = (1, 1)$ SYM theory