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A. T. Banin

Publications and source records attributed to A. T. Banin.

16 recordsLinked to original sources
arXiv2006

On quantum properties of the four-dimensional generic chiral superfield model

We study a problem of systematical evaluation of the quantum corrections for general 4D supersymmetric Kähler sigma models with chiral and antichiral superpotentials. Using manifestly reparametrization covariant techniques (the background-quantum splitting and proper-time representation) in the ${\cal N}=1$ superspace we show how to define unambiguously the one-loop effective action. We introduce the reparametrization covariant derivatives acting on superfields and prove that their algebra is analogous to algebra in super Yang-Mills (SYM) theory. This analogy allows us to use for evaluation of the effective action in the theory under consideration methods developed for SYM theory. The divergencies for the model are obtained. It is shown that on general Kähler manifold the one-loop counterterms have the structure of a supersymmetric WZNW term. Leading finite contribution in covariant derivative expansion of the one-loop effective action (superfield $a_3$ coefficient) is calculated.

hep-th↗
arXiv2006

One-loop effective potential in ${\cal N}={1/2}$ generic chiral superfield model

We obtain the one-loop quantum corrections to the Kählerian 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 star-product of superfields in terms of ordinary products. In the Kählerian potential sector the one-loop contributions are analogous to ones in the undeformed theory while in the chiral potential sector the quantum corrections contain a deformation parameter.

hep-th↗
arXiv2005

Construction of the effective action in nonanticommutative supersymmetric field theories

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 proper-time representations) adopted to the ${\cal N}=1/2$ superspace we show how to define unambiguously the effective action of a matter multiplet (in fundamental and adjoint representations) and the vector multiplet coupled to a background ${\cal N}=1/2$ gauge superfield. As an application of this construction we exactly calculate the low-energy one-loop effective action of matter multiplet and SU(2) SYM theory on the Abelian background.

hep-th↗
arXiv2005

Generic chiral superfield model on nonanticommutative N=1/2 superspace

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 Kählerian potential, chiral and antichiral superpotentials and can include the nonanticommutative supersymmetric sigma-model as a partial case. We study a component structure of the model and derive the component Lagrangian in an explicit form with all auxiliary fields contributions. We show that the infinite series in the classical action for generic nonanticommutative model of chiral-antichiral superfields in D=4 dimensions can be resumed in a compact expression which can be written as a deformation of standard Zumino's lagrangian and chiral superpotential. Problem of eliminating the auxiliary fields in the generic model is discussed and the first perturbative correction to the effective scalar potential is obtained.

hep-th↗
arXiv2004

Chiral effective potential in ${\cal N}={1/2}$ non-commutative Wess-Zumino model

We study a structure of holomorphic quantum contributions to the effective action for ${\cal N}={1/2}$ noncommutative Wess-Zumino model. Using the symbol operator techniques we present the one-loop chiral effective potential in a form of integral over proper time of the appropriate heat kernel. We prove that this kernel can be exactly found. As a result we obtain the exact integral representation of the one-loop effective potential. Also we study the expansion of the effective potential in a series in powers of the chiral superfield $Φ$ and derivative $D^2Φ$ and construct a procedure for systematic calculation of the coefficients in the series. We show that all terms in the series without derivatives can be summed up in an explicit form.

hep-th↗
arXiv2004

On the construction of ${\cal N}=4$ SYM effective action beyond leading low-energy approximation

A problem of the hidden ${\cal N}=2$ supersymmetry deformation for next-to-leading terms in the effective action for ${\cal N}=4$ SYM theory is discussed. Using formulation of the theory in ${\cal N}=2$ harmonic superspace and exploring the on-shell hidden ${\cal N}=2$ supersymmetry of ${\cal N}=4$ SYM theory, we construct the appropriate hypermultiplet-depending contributions for $F^6$ term in the Schwinger-De Witt expansion of the effective action. The procedure involves deformed hidden ${\cal N}=2$ supersymmetry and allows one to obtain self-consistently the correct ${\cal N}=4$ supersymmetric functional containing $F^{6}$ among the component fields.

hep-th↗
arXiv2004

Low-energy next-to-leading contributions to the effective action in ${\cal N}=4$ SYM theory

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 strength $F_{mn}$ and constant hypermultiplet. Any term of the effective action derivative expansion can be rewritten in terms of ${\cal N}=2$ superfields. The action is manifestly ${\cal N}=2$ supersymmetric but on-shell hidden ${\cal N}=2$ supersymmetry is violated. We propose a procedure which allows to restore the hidden ${\cal N}=2$ invariance.

hep-th↗
arXiv2003

Low-energy effective action in extended supersymmetric gauge theories

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 and non-Abelian phases. General structure of low-energy corrections to the effective action is discussed.

hep-th↗
arXiv2003

Effective Action in ${\cal N}=2,4$ Supersymmetric Yang-Mills Theories

We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for $R_ξ$-gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of the Euler dilogarithm function for a specific choice of gauge parameters.We also discuss the calculations of hypermultiplet dependence of ${\cal N}=4$ SYM effective action.

hep-th↗
arXiv2003

One-loop effective action for ${\cal N}=4$ SYM theory in the hypermultiplet sector - leading low-energy approximation and beyond

We develop the derivative expansion of the one-loop ${\cal N}=4$ SYM effective action depending both on ${\cal N}=2$ vector multiplet and on hypermultiplet background fields. We get a new derivation of the complete ${\cal N}=4$ supersymmetric low-energy effective action obtained in hep-th/0111062 and find subleading corrections to it. A problem of ${\cal N}=4$ supersymmetry of the results is discussed. Using the formalism of ${\cal N}=2$ harmonic superspace and exploring on-shell hidden ${\cal N}=2$ supersymmetry of ${\cal N}=4$ SYM theory we construct the appropriate hypermultiplet-depending contributions. The hidden ${\cal N}=2$ supersymmetry requirements allow to get a leading, in hypermultiplet derivatives, part of the correct ${\cal N}=4$ supersymmetric functional containing $F^{8}$ among the component fields.

hep-th↗
arXiv2002

On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background

We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in N=2, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for a class of gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of Euler dilogarithm function for specific choice of gauge parameters.

hep-th↗
arXiv2001

Application of symbol-operator technique for effective action computation

In the present talk we briefly demonstrate an elegant and effective technique for calculation of the trace expansion in the derivatives of background fields. One of main advantages of the technique is manifestly (super)symmetrical and gauge invariant form of expressions on all stages of calculations. Other advantage is the universality of the calculation method. Some particular examples and results are presented.

hep-th↗
arXiv2000

Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter

We study one-loop effective action of hypermultiplet theory coupled to external N=2 vector multiplet. We formulate this theory in N=1 superspace and develop a general approach to constructing derivative expansion of the effective action based on an operator symbol technique adopted to N=1 supersymmetric field models. The approach under consideration allows to investigate on a unique ground a general structure of effective action and obtain both N=2 superconformal invariant (non-holomorphic) corrections and anomaly (holomorphic) corrections. The leading low-energy contributions to effective action are found in explicit form.

hep-th↗
arXiv1999

Covariant technique of derivative expansion of one-loop effective action

A simple systematic method for calculating derivative expansions of the one-loop effective action is presented. This method is based on using symbols of operators and well known deformation quantization theory. To demonstrate its advantages we present several examples of application for scalar theory, Yang-Mills theory, and scalar electrodynamics. The superspace formulation of the method is considered for Kählerian and non-Kählerian quantum corrections for Wess-Zumino and for Heisenberg-Euler lagrangians in super QED models.

hep-th↗
arXiv1999

Anomalous interactions in Higgs boson production at photon colliders

We discuss the potentialities of the non-standard interaction study via the Higgs boson production at photon ($\ggam$ and $eγ$) colliders. We estimate the scale of New Physics phenomena beyond the standard model that can be seen in the experiments with Higgs boson production. In particular, the effect of new heavy particles within the standard model is shown to be quite observable.

hep-ph↗