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We develop the superfield approach to the effective potential in three dimensions and calculate the one-loop and two-loop k\"{a}hlerian effective potential in commutative and noncommutative cases.

High Energy Physics - Theory · Physics 2009-12-04 A. F. Ferrari , M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , E. O. Silva , A. J. da Silva

The effective action in general chiral superfield model with arbitrary k\"{a}hlerian potential $K(\bar{\Phi},\Phi)$ and chiral (holomorphic) potential $W(\Phi)$ is considered. The one-loop and two-loop contributions to k\"{a}hlerian…

High Energy Physics - Theory · Physics 2007-05-23 A. Yu. Petrov

For a three-dimensional higher-derivative scalar superfield model, and a four-dimensional higher-derivative chiral superfield model, where which the higher-derivative operators are described by polynomials of arbitrary degrees, we…

High Energy Physics - Theory · Physics 2021-01-18 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

Using the superfield formalism, we propose a non-local extension of the supersymmetric gauge theory coupled to massless chiral matter. Two different non-local models are considered. For these models, we explicitly calculate the one-loop…

High Energy Physics - Theory · Physics 2017-11-15 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

We discuss the massive extension of the four-dimensional superfield QED. For this theory, we calculate the one-loop effective potential of the chiral matter.

High Energy Physics - Theory · Physics 2025-11-05 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

We formulate a generic three-dimensional higher-derivative superfield theory for self-interacting scalar superfield action. We consider the cases of real and complex scalar superfields. For these theories, we explicitly calculate the…

High Energy Physics - Theory · Physics 2013-09-30 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

A superfield method of computing the effective potential in supersymmetric field theories is suggested. Analysis of the structure of the effective potential in the Wess-Zumino model is carried out. It is shown that the superfield effective…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , S. M. Kuzenko , A. Yu. Petrov , J. V. Yarevskaya

We obtain the one-loop quantum corrections to the K\"ahlerian and superpotentials in the generic chiral superfield model on the nonanticommutative superspace. Unlike all previous works, we use a method which does not require to rewrite a…

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

I obtain the effective K\"ahler potential at three-loop order for a general renormalizable supersymmetric theory containing only chiral supermultiplets. The three-loop contribution is remarkably simple, consisting of only four terms…

High Energy Physics - Phenomenology · Physics 2024-10-04 Stephen P. Martin

In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we…

High Energy Physics - Theory · Physics 2019-07-11 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

We develop a superfield approach to the effective potential in the supersymmetric Chern-Simons theory coupled to matter, and, in Landau gauge, calculate the one-loop Kahlerian effective potential and give some qualitative prescriptions for…

High Energy Physics - Theory · Physics 2013-05-30 M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We study the one-loop quantum corrections for higher-derivative superfield theories, generalizing the approach for calculating the superfield effective potential. In particular, we calculate the effective potential for two versions of…

High Energy Physics - Theory · Physics 2009-11-23 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We derive a universal formula for the one-loop renormalization of the effective K\"ahler potential that applies to general supersymmetric effective field theories of chiral multiplets, with arbitrary interactions respecting N=1…

High Energy Physics - Theory · Physics 2012-05-17 Raphael Flauger , Simeon Hellerman , Cornelius Schmidt-Colinet , Matthew Sudano

We explicitly calculate the one-loop effective potential for a higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. We consider the cases of minimal and nonminimal general Lagrangians. In…

High Energy Physics - Theory · Physics 2014-05-15 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We explicitly calculate the one-loop effective potential for the supersymmetric topologically massive gauge theory in four dimensions, where the chiral scalar superfield is directly coupled to the field strength for the gauge spinor…

High Energy Physics - Theory · Physics 2015-04-08 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

In the $\mathcal{N}=2$, $d=3$ superspace, we consider a higher-derivative generalization of the supersymmetric quantum electrodynamics, where the higher-derivative operator is a polynomial function of the d'Alembertian with arbitrary…

High Energy Physics - Theory · Physics 2023-06-13 F. S. Gama

We study a holomorphic effective potential $W_{eff}(\Phi)$ in chiral superfield model defined in terms of arbitrary k\"{a}hlerian potential $K(\bar{\Phi},\Phi)$ and arbitrary chiral potential $W(\Phi)$. Such a model naturally arises as an…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , A. Yu. Petrov

We compute the two-loop effective K\"ahler potential in three-dimensional N=2 supersymmetric electrodynamics with Chern-Simons kinetic term for the gauge superfield. The effective action is constructed on the base of background field method…

High Energy Physics - Theory · Physics 2015-06-04 I. L. Buchbinder , B. S. Merzlikin

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 in explicit form up to the two-loop order. In accordance…

High Energy Physics - Theory · Physics 2015-06-03 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

We compute the $1$-loop effective K\"ahler potential in the most general renormalizable $N=1$ $d=4$ supersymmetric quantum field theory.

High Energy Physics - Theory · Physics 2019-08-15 M. T. Grisaru , M. Rocek , R. von Unge
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