Showing papers on "Superpotential published in 1984"
TL;DR: In this paper, the authors investigated a possible connection of a solution of the strong CP-problem and the generation of a mass term μ in the low energy Higgs superpotential of supersymmetric models.
787 citations
TL;DR: In this article, the massless limit of supersymmetric QCD with N flavors and N colors is analyzed in detail, and it is shown that it indeed appears, thus violating the non-renormalization theorems.
738 citations
TL;DR: In this article, it was shown by means of the Adler-Bardeen theorem how to calculate the two-loop β function from a one-loop calculation of the superconformal anomaly in a supersymmetric gauge theory with arbitrary superpotential.
94 citations
84 citations
TL;DR: In this paper, Nambu-Goldstone-like theorems are proved for the spontaneous breaking of the superpotential symmetries, under the assumption that supersymmetry itself remains unbroken.
53 citations
TL;DR: In this article, the N = 2 scalar potential of the complex scalar fields in the adjoint representation, superpartners of the Yang-Mills gauge fields, splits into a conventional gauge contribution as well as in a superpotential term contribution proportional to the SO(2) gauge coupling of N =2 de Sitter supergravity.
23 citations
TL;DR: In this article, a model of the supersymmetric quantum mechanics in the three-dimensional space, which describes the motion of a spin one-half particle in central and spin· orbit potentials in the context of nonrelativistic quantum mechanics was constructed.
Abstract: As a direct generalization of the model of supersymmetric quantum mechanics· by Witten, which describes the motion of a spin one·half particle in the one·dimensional space, we construct a model of the supersymmetric quantum mechanics in the three·dimensional space, which describes the motion of a spin one· half particle in central and spin· orbit potentials in the context of the nonrelativistic quantum mechanics. With the simplest choice of the (super) potential, this model is shown to reduce to the model of the harmonic oscillator plus constant spin· orbit potential of unit strength of both positive and negative signs, which was studied in detail in our recent paper in connection with "accidental degeneracy" as well as the "graded groups". This simplest model is discussed in some detail as an example of the three dimensional supersymmetric quantum mechanical system, where the supersymmetry is an exact symmetry of the system. More general choice of a polynomial superpotential is also discussed. It is shown that the supersymmetry cannot be spohtaneously broken for any polynomial superpotential in our three-dimen· sional model; this result is contrasted to the corresponding one in the one·dimensional model.
17 citations
TL;DR: In this paper, a weak coupling expansion for the supersymmetric Liouville quantum field theory defined on a circle was developed, which is translationally invariant, conformally covariant, and has a zero-energy ground state.
14 citations
TL;DR: In this article, it was shown that tr(−1) F for N = 1 supersymmetric Yang-Mills in ten dimensions can be computed for the dimensionally reduced theory N = 4 extended supersymmymmetric YMM in four dimensions.
12 citations
TL;DR: In this article, a formalism describing the dynamical properties of Goldstone fields in N = 1 supersymmetric theories is presented, and the concept of pseudo-symmetry currents is introduced.
11 citations
TL;DR: In this article, a left-right symmetric QCD-like supersymmetric preon model which provides light composite fermions through a Goldstone mechanism (quasi-Goldstone fermion) is discussed.
TL;DR: In this article, the Hertz-Debye superpotential formalism has been applied to study the behaviour of the perturbative zero rest-mass fields, namely, the electromagnetic, massless neutrino and gravitational fields in the rotationally symmetric Kasner Universe.
Abstract: The Hertz-Debye superpotential formalism has been applied to study the behaviour of the perturbative zero rest-mass fields, namely, the electromagnetic, massless neutrino and gravitational fields in the rotationally symmetric Kasner Universe. The formalism yields a single decoupled equation for the superpotential in each of the three cases. A considerable amount of information is obtained from these equations themselves and the equations are subjected to various methods of solution. The effects of anisotropy of the Kasner space-time on the superposed fields are analysed. The relative behaviour of the three fields is studied with the similarities and differences in their evolution being highlighted. Finally in the geometric optics approximation the propagation of the fields is compared with the null geodesics.
TL;DR: In this paper, the supersymmetric sine-Gordon lagrangian is rewritten in a purely fermionic form, and the Fermi equivalent of the original supersymmetry transformation is derived.
TL;DR: In this paper, the spectrum of a supersymmetric quantum mechanics model, whose potential has a steep super-ymmetric minimum and a broad non-supersymmetric maximum, is analyzed.
TL;DR: The role of the complex extension of the symmetry group in supersymmetric theories is revisited in this paper, where it is shown that if symmetry breaking occurs at an extremum of the superpotential, then supersymmetry will be preserved if and only if the complex stabilizer of the vacuum is the complexified of its maximal compact part.
01 Apr 1984
TL;DR: In this paper, the Witten index for supersymmetric quantum mechanics has been evaluated and a number of nonperturbative strategies for studying supersymmetry breakdown based on introducing a lattice and studying the behavior of the ground state energy as the lattice cutoff is removed.
Abstract: One reason for studying supersymmetric quantum mechanics is that there are a class of superpotentials W(x) which behave at large x as x/sup ..cap alpha../ for which we know from general arguments whether SUSY is broken or unbroken. Thus one can use these superpotentials to test various ideas about how to see if supersymmetry is broken in an arbitrary model. Recently, Witten proposed a topological invariant, the Witten index ..delta.. which counts the number of bosons minus the number of fermions having ground state energy zero. Since if supersymmetry is broken, the ground state energy cannot be zero, one expects if ..delta.. is not zero, SUSY is preserved and the theory is not a good candidate for a realistic model. In this study we evaluate ..delta.. for several examples, and show some unexpected peculiarities of the Witten index for certain choice of superpotentials W(x). We also discuss two other nonperturbative methods of studying supersymmetry breakdown. One involves relating supersymmetric quantum mechanics to a stochastic classical problem and the other involves considering a discrete (but not supersymmetric) version of the theory and studying its behavior as one removes the lattice cuttoff. In this survey we review the Hamiltonian and path integralmore » approaches to supersymmetric quantum mechanics. We then discuss the related path integrals for the Witten Index and for stochastic processes and show how they are indications for supersymmetry breakdown. We then discuss a system where the superpotential W(x) has assymetrical values at +-infinity. We finally discuss nonperturbative strategies for studying supersymmetry breakdown based on introducing a lattice and studying the behavior of the ground state energy as the lattice cutoff is removed. 17 references.« less
01 Jan 1984
TL;DR: The structure of low energy models resulting from N = 1 supergravity theories depends on assumptions and choices made for the superpotential and Kahler potential as discussed by the authors, and a review is given of those structures which have been used most frequently.
Abstract: The structure of low energy models resulting from N=1 supergravity theories depends on assumptions and choices made for the superpotential and Kahler potential. A review is given of those structures which have been used most frequently.
TL;DR: In this article, it was shown that a large class of supersymmetric models with dynamical supersymmetry breaking do not have a consistent extension to local supersymmetrization.
Abstract: It is shown that a large class of supersymmetric models in quantum mechanics with dynamical supersymmetry breaking (generalizations of the one proposed by Witten) do not have a consistent extension to local supersymmetry.
TL;DR: In this paper, the lattice strong-coupling approximation for supersymmetric field theories was used to calculate the ground-state energy density of two-dimensional field theories.
TL;DR: In this article, the supersymmetric nearest-neighbour x - y model with random transverse magnetic field was considered and the question of supersymmetry breaking for various choices of the superpotential was discussed.
TL;DR: A small gravitino mass can be generated in locally supersymmetric grand unified theories as mentioned in this paper, at the expense of non renormalisable terms in the superpotential, which is not the case here.
Abstract: A small gravitino mass can be generated in locally supersymmetric grand unified theories, at the expense of non renormalisable terms in the superpotential
TL;DR: In the context of three supersymmetric models, N = 2 quantum mechanics, abelian Higgs in 1 + 1 dimensions and SSQCD in 3+ 1 dimensions, this article performed one-instanton calculations that explicitly verified supersymmymmetric ward identities in that approximation.
TL;DR: In this paper, a systematic framework for constructing a superpotential in static, axially symmetric four-dimensional SU(n) principal σ-models by applying an inverse scattering method is derived.
TL;DR: In this article, the spectrum of Nambu-Goldstone (NG) particles in supersymmetric models using superpotentials constructed from elementary chiral superfields was studied, and it was shown that translation invariance of the superpotential can lead to massless NG modes.