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The effective potential of scalar QED is computed analytically up to two loops in the Landau gauge. The result is given in 4-epsilon dimensions using minimal subtraction and epsilon-expansions. In three dimensions, our calculation is…

Condensed Matter · Physics 2011-08-17 H. Kleinert , B. Van den Bossche

The effective potential has been previously calculated through three-loop order, in Landau gauge, for a general renormalizable theory using dimensional regularization. However, dimensional regularization is not appropriate for softly broken…

High Energy Physics - Phenomenology · Physics 2023-12-01 Stephen P. Martin

We study the one-loop effective potentials of the four-dimensional Lifshitz scalar field theory with the particular anisotropic scaling $z=2$, and show that the renormalization is possible without resort to the renormalization of the…

High Energy Physics - Theory · Physics 2011-08-25 Myungseok Eune , Wontae Kim , Edwin J. Son

The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,...,…

High Energy Physics - Theory · Physics 2009-11-10 S. M. Kuzenko , I. N. McArthur

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

I compute the complete two-loop effective potential for the minimal supersymmetric standard model in the Landau gauge. This enables an accurate determination of the minimization conditions for the vacuum expectation values of the Higgs…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephen P. Martin

We analyse quantum properties of ${\cal N}=2$ and ${\cal N}=4$ supersymmetric gauge theories formulated in terms of ${\cal N}=1$ superfields and investigate the conditions imposed on a renormalization prescription under which the…

High Energy Physics - Theory · Physics 2023-05-24 Sergei Aleshin , Konstantin Stepanyantz

We consider the generic nonanticommutative model of chiral-antichiral superfields on ${\cal N}={1\over 2}$ superspace. The model is formulated in terms of an arbitrary K\"ahlerian potential, chiral and antichiral superpotentials and can…

High Energy Physics - Theory · Physics 2009-11-11 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

The supersymmetric completion of higher-derivative operators often requires introducing corrections to the scalar potential. In this paper we study these corrections systematically in the context of theories with $\mathcal{N}=1$ global and…

High Energy Physics - Theory · Physics 2018-04-20 David Ciupke

Renormalization group methods are used to determine the evolution of the low energy Wilson effective action for supersymmetric nonlinear sigma models in four dimensions. For the case of supersymmetric $CP^{(N-1)}$ models, the K\"ahler…

High Energy Physics - Theory · Physics 2009-10-30 T. E. Clark , S. T. Love

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

Using a superfield generalization of the tadpole method, we study the one-loop effective potential for a Wess Zumino model modified by a higher-derivative term, inspired by the Lee-Wick model. The one-loop K\"{a}hlerian potential is also…

High Energy Physics - Theory · Physics 2015-07-10 M. Dias , A. Yu. Petrov , C. R. Senise , A. J. da Silva

Using the one-loop Coleman-Weinberg effective potential, we derive a general analytic expression for all the derivatives of the effective potential with respect to any number of classical scalar fields. The result is valid for a…

High Energy Physics - Phenomenology · Physics 2016-07-29 José Eliel Camargo-Molina , António P. Morais , Roman Pasechnik , Marco O. P. Sampaio , Jonas Wessén

We consider N=2 supersymmetric nonlinear sigma-models in two dimensions defined in terms of the nonminimal scalar multiplet. We compute in superspace the one-loop beta function and show that the classical duality between these models and…

High Energy Physics - Theory · Physics 2015-06-26 S. Penati , A. Refolli , A. Van Proeyen , D. Zanon

By computing the two-loop effective potential of the D=3 N=1 supersymmetric Chern-Simons model minimally coupled to a massless self-interacting matter superfield, it is shown that supersymmetry is preserved, while the internal U(1) and the…

High Energy Physics - Theory · Physics 2012-06-20 E. A. Gallegos , A. J. da Silva

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

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 formulate a generic three-dimensional superfield higher-derivative gauge theory coupled to the matter, which, in certain cases reduces to the three-dimensional scalar super-QED, or supersymmetric Maxwell-Chern-Simons or Chern-Simons…

High Energy Physics - Theory · Physics 2013-08-29 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

We study renormalizable nonlinear sigma-models in two dimensions with N=2 supersymmetry described in superspace in terms of chiral and complex linear superfields. The geometrical structure of the underlying manifold is investigated and the…

High Energy Physics - Theory · Physics 2009-10-31 Silvia Penati , Andrea Refolli , Alexander Sevrin , Daniela Zanon

We offer a simple non-perturbative formula for the component action of a generic N=1/2 supersymmetric chiral model in terms of an arbitrary number of chiral superfields in four dimensions, which is obtained by the Non-Anti-Commutative (NAC)…

High Energy Physics - Theory · Physics 2010-04-05 T. Hatanaka , S. V. Ketov , S. Sasaki