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We study the gauge dependence of one-loop divergences in a general matter-coupled $6D$, ${\cal N}=(1,0)$ supersymmetric gauge theory in the harmonic superspace formulation. Our analysis is based on the effective action constructed by the…

High Energy Physics - Theory · Physics 2019-09-25 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

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

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

We consider the effective superpotential of N=2, U(N) gauge model where N=2 supersymmetry is spontaneously broken to N=1. By the computation of loop diagrams, we obtain a formula for the effective superpotential which is deformed from the…

High Energy Physics - Theory · Physics 2007-10-12 Kazunobu Maruyoshi

We enlarge the usual D=3 N=1 supergraph techniques to include the case of (explicitly or spontaneously) broken supersymmetric gauge theories. To illustrate the utility of these techniques, we calculate the two-loop effective potential of…

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

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 study gauge theories with N=1 supersymmetry in 2+1 dimensions. We start by calculating the 1-loop effective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter.…

High Energy Physics - Theory · Physics 2018-11-14 Changha Choi , Martin Rocek , Adar Sharon

The method of the calculation of effective potential (in linear curvature approximation and at any loop) in massless gauge theory in curved space- time by the direct solution of RG equation is given.The closed expression for two-loop…

General Relativity and Quantum Cosmology · Physics 2016-08-31 S. D. Odintsov

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 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

In this paper, we give a new effective superpotential that makes clear Bethe/Gauge correspondence between 2d (and 3d) $\text{SO/Sp}$ gauge theories and open $\text{XXX}$ (and $\text{XXZ}$) spin chains with diagonal boundary conditions, and…

High Energy Physics - Theory · Physics 2023-04-13 Xiang-Mao Ding , Tinglyer Zhang

We study the gauge dependence of the one-loop effective action for the abelian $6D$, ${\cal N}=(1,0)$ supersymmetric gauge theory formulated in harmonic superspace. We introduce the superfield $\xi$-gauge, construct the corresponding gauge…

High Energy Physics - Theory · Physics 2018-11-14 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We…

High Energy Physics - Theory · Physics 2017-02-01 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , B. Lima De Souza , T. Stemberga

In this paper we propose a new version for the noncommutative superspace in 3D. This version is shown to be convenient for performing quantum calculations. In the paper, we use the theory of the chiral superfield as a prototype for possible…

High Energy Physics - Theory · Physics 2016-04-07 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

The one loop effects of two dimension-six operators on gauge boson self energies are computed within an effective field theory framework. These self energies are translated into effects on precision electroweak observables, and bounds are…

High Energy Physics - Phenomenology · Physics 2015-06-15 Harrison Mebane , Nicolas Greiner , Cen Zhang , Scott Willenbrock

Effective superpotentials are considered which include glueball chiral superfields among their arguments in supersymmetric gauge theories. It is seen that the accommodation of glueball superfields is suitable for their complete…

High Energy Physics - Theory · Physics 2009-10-28 Izawa K. -I

We calculate one-loop contributions to the Kaehler potential in 4D effective theory of 5D gauged supergravity (SUGRA) on S^1/Z_2 with a generic form of the prepotential and arbitrary boundary terms. Our result is applicable to a wide class…

High Energy Physics - Theory · Physics 2014-01-09 Yutaka Sakamura

We calculate the effective potential for the vacuum gauge field from the one-loop matter effect in $M_3\times S^3\times S^1$ space-time. This background geometry is motivated from the recent studies on gauged supergravities with a…

High Energy Physics - Theory · Physics 2009-11-10 Yoshinori Cho , Kiyoshi Shiraishi

We present the exact effective superpotentials in $4d$, $N=1$ supersymmetric $SU(2)$ gauge theories with $N_3$ triplets and $N_2$ doublets of matter superfields. For the theories with a single triplet matter superfield we present the exact…

High Energy Physics - Theory · Physics 2009-10-28 S. Elitzur , A. Forge , A. Giveon , E. Rabinovici

The full one-loop supersymmetric effective potential for the Wess-Zumino model is calculated using superfield techniques. This includes the K\"ahler potential and the auxiliary field potential, of which the former was originally computed in…

High Energy Physics - Theory · Physics 2015-06-22 Sergei M Kuzenko , Simon J Tyler