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. *
We develop the derivative expansion of the one-loop Nϭ4 super Yang-Mills ͑SYM͒ effective action depending both on the Nϭ2 vector multiplet and on hypermultiplet background fields. Beginning with the formulation of Nϭ4 SYM theory in terms of Nϭ1 superfields, we construct the one-loop effective action with the help of superfield functional determinants and calculate this effective action in Nϭ1 superfield form using the approximation of constant Abelian strength F mn and corresponding constant hypermultiplet fields. Then we show that the terms in the supercovariant derivative expansion of the effective action can be rewritten in terms of Nϭ2 superfields. As a result, we get a new derivation of the complete Nϭ4 supersymmetric low-energy effective action obtained by Buchbinder and Ivanov and find subleading corrections to it. The low-energy effective action in an arbitrary Nϭ2 SYM model can contain, in principle, a holomorphic effective potential ͓6͔ but it vanishes in Nϭ4 gauge theory. PHYSICAL REVIEW D 68, 065024 ͑2003͒
We consider the generic nonanticommutative model of chiral-antichiral superfields on N = 1 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.
We discuss the potentialities of the non-standard interaction study via the
Higgs boson production at photon ($\ggam$ and $e\gamma$) 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.Comment: 16 pages, 8 eps figures, RevTeX, content change
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 backgroundquantum splitting and proper-time representation) in the 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 supersymmetric WZNW term in the form proposed in Ref. [16]. Leading finite contribution in covariant derivative expansion of the one-loop effective action (superfield a 3 coefficient) is calculated.
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