Gauge independence for noncovariant supergauges

Previous work on noncovariant gauge choices within the superfield formalism was restricted to renormalization problems. Here we show the gauge independence and (global) supersymmetry for theS-matrix with suitably defined on-shell physical sources.     

Ten-dimensional supersymmetric Yang-Mills theory in terms of four-dimensional superfields

We show that the usual formulation of the N = 4 supersymmetric Yang-Mills theory in terms of N = 1 superfields can be generalized to describe the full ten-dimensional theory.     

Renormalization of supersymmetric Yang-Mills theories with soft supersymmetry breaking

The renormalization of supersymmetric Yang-Mills theories with soft supersymmetry breaking is presented using spurion fields for introducing the breaking terms. It is proven that renormalization of the fields and parameters in the classical action yields precisely the correct counterterms to cancel all divergences. In the course of the construction of higher orders additional independent parameters appear, but they can be shown to be irrelevant in physics respects. Thus, the only parameters with influence on physical amplitudes are the supersymmetric and the well-known soft breaking parameters. Received: 19 December 2001 / Published online: 15 March 2002     

Non-Archimedean superfields

The component representation of superfields over non-Archimedean (and, in particular, p-adic) superalgebras with an infinite number of anticommuting generators is investigated. It is shown that supersmooth fields, nonpolynomial in anticommuting variables, exist in the non-Archimedean case (as opposed to the real or complex case). The superfield representation for the algebra of non-Archimedean supersymmetries is analyzed in the p-adic case (p 3 mod 4). New solutions of equations on a chiral superfield and other superfield equations are discovered in non-Archimedean theory.This work has been supported by the CNR Fund (Italy) and an Advanced Study of p-Adic Mathematical Physics Grant.Institute of Electronic Engineering, Moscow. Genova University, Italy. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 35–38, November, 1993.     

Renormalization of N = 1 supersymmetric Yang-Mills theories: (II). The radiative corrections

We give a general proof of ultraviolet renormalizability relying on the methods of BRS and find that no anomaly can occur if the gauge group is assumed to be semisimple. We derive the Callan-Symanzik equation.     

Renormalization of N = 1 supersymmetric Yang-Mills theories: (I). The classical theory

We investigate the classical N = 1 supersymmetric Yang-Mills theories and pay special attention to the search for the most general action fulfilling the Slavnov identity used to define the theory. It turns out that the well-known action of Ferrara, Zumino and Salam, Strathdee represents a special case, our general solution being equivalent to it through a redefinition of the gauge-fixing condition.     

Supertwistors and superfields

The contour integral formulae of the twistor theory are generalized to the supertwistor case. They yield representations of the superconformal algebrasu(2, 2¦N) in terms of superfields with arbitrary conformal weights which are defined either on chiral or on non-chiral superspaces.Since the invited talk From twistors to supertwistors presented by J. Niederle at the International Conference Selected Topics in Quantum Field Theory and Mathematical Physics, Bechyn, Czechoslovakia, June 23–27, 1986, was published in the Proc. Int. Meeting on Topological and Geometrical Methods in Field Theory (Espoo, June 8–14, 1986, Eds. Hietarinta and Westerholm, World Scientific, 1987) only authors' main results on which this talk was based are published here.     

Perturbation theory in terms of superfields

A perturbation theory in terms of superfields has been developed for a class of super-symmetric Lagrangians which contain massless spin zero boson and $\text{spin}\text{-}\text{1}\text{2}$ Majorana spinor fields.     

Unextended superfields in extended supersymmetry

In extended supersymmetry, we discuss the advantages of unextended superfields over extended ones and component fields. We show how to derive from the extended formalism the unextended superfields, and their extended supersymmetry transformations in unextended-superfield form.     

N = 4 Yang-Mills theory in terms of N = 3 and N = 2 light-cone superfields

The N = 4 Yang-Mills theory is truncated to an N = 3 Yang-Mills theory and to an N = 2 Yang-Mills theory coupled to an N = 2 Wess-Zumino field. The whole procedure is performed in the light-cone gauge. It is then shown that these theories are unique even if we only insist on N = 3 or N = 2 supersymmetry respectively. Finally we show in detail how the introduction of the fermionic Wess-Zumino field renders the one-loop self-energy finite.     

Feynman rules for superfields

The notion of functional differentiation with respect to superfields is defined and used to set up formal rules for computing Green functions and scattering amplitudes in supersymmetric models.     

Weight diagrams for superfields

A scheme for describing superfields by weight diagrams is proposed. The weights in such diagram are just the conventional boson and fermion fields contained in a supermultiplet. As in the case of SU(3), the weight diagrams produce no new results, but they afford an easy visualization of the standard operations of supersymmetry, such as infinitesimal transformations, chiral reductions, and decomposition of products.