Showing papers on "Supersymmetric gauge theory published in 1980"
TL;DR: In this paper, a solution of the gauge hierarchy problem is given, without any further unnatural condition, a neutrino mass which is hierarchically small compared with the light-charged fermion masses.
988 citations
TL;DR: In this paper, the authors present a survey of recent developments on non-perturbative gauge fields by some of the leading experts and innovators in this field, including the Cargese Institute on "Recent Developments on Gauge Theories".
Abstract: Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified gauge theory of weak and electromagnetic interactions, and finally to a non abelian gauge theory of strong interactions with the notion of permanently confined quarks. The. early theoretical work on gauge theories was devoted to proofs of renormalizability, investigation of short distance behaviour, the discovery of asymptotic freedom, etc . ., aspects which were accessible to tools extrapolated from renormalised perturbation theory. The second phase of the subject is concerned with the problem of quark confinement which necessitates a non-perturbative understanding of gauge theories. This phase has so far been marked by the introduc tion of ideas from geometry, topology and statistical mechanics in particular the theory of phase transitions. The 1979 Cargese Institute on "Recent Developments on Gauge Theories" was devoted to a thorough discussion of these non-perturbative, global aspects of non-abelian gauge theories. In the lectures and seminars reproduced in this volume the reader wilf find detailed reports on most of the important developments of recent times on non perturbative gauge fields by some of the leading experts and innovators in this field. Aside from lectures on gauge fields proper, there were lectures on gauge field concepts in condensed matter physics and lectures by mathematicians on global aspects of the calculus of variations, its relation to geometry and topology, and related topics."
895 citations
TL;DR: An analytic calculation of the Gell-Mann-low function and anomalous dimensions for non-Abelian gauge theory with fermions is presented in this article, where the authors show that it is possible to obtain an anomalous dimension for fermians.
741 citations
TL;DR: In this article, the authors take the view that gauge fields can be considered as chiral fields on a loop space, both in classical and in quantum theories, and derive the equations of motion governing the propagation of the infinitely thin rings formed by the lines of color-electric flux.
723 citations
TL;DR: In this paper, it was shown that the infrared cutoff of the massless Yang-Mills field due to high temperature effects cannot be greater than O( g 2 ) T, where g is the effective gauge coupling constant at a finite temperature.
656 citations
TL;DR: In this article, a general definition of symmetries of gauge fields is proposed and a method developed for constructing symmetric fields for an arbitrary gauge group, where scalar fields occur naturally in the formalism and pure gauge theory reduces to a Higgs model in lower dimensions.
Abstract: A general definition of symmetries of gauge fields is proposed and a method developed for constructing symmetric fields for an arbitrary gauge group. Scalar fields occur naturally in the formalism and the pure gauge theory reduces to a Higgs model in lower dimensions.
567 citations
TL;DR: In this paper, a method was described for dealing with very heavy particles, by constructing a gauge-invariant effective field theory, in which the heavy particles do not appear, and the running strong and electroweak effective couplings become equal to the original gauge coupling at different renormalization scales.
502 citations
TL;DR: In this paper, the authors apply the technique of dimensional reduction to both supersymmetric and non-supersymmetric theories, and show that in the latter case the technique is a viable alternative to conventional dimensional regularization.
430 citations
TL;DR: In this paper, the phase factor P exp (e∳ C A μ d x μ ) = ψ(C ) for Yang-Mills theory was studied and the renormalizability of this phase factor was proved.
340 citations
TL;DR: In this paper, the phase transition in 4D gauge theories coupled to scalar and spinor fields at finite temperature was studied. But the phase transitions were not investigated in terms of the Lagrangian of the zero frequency mode.
319 citations
TL;DR: In this article, the authors show the gravitational trace anomalies of antisymmetric tensor potentials and a scalar field A to be different, and that of A μνϱ to be non-vanishing.
TL;DR: In this paper, an independent discussion of these field theories is given, based on a hierarchy of generalized Christoffel symbols with simple gauge transformation properties, and the necessity of certain constraints on gauge fields and parameters is easily seen.
Abstract: Free-field theories for symmetric tensor and tensor-spinor gauge fields have recently been obtained which describe massless particles of arbitrary integer or half-integer spin. An independent discussion of these field theories is given here, based on a hierarchy of generalized Christoffel symbols with simple gauge transformation properties. The necessity of certain constraints on gauge fields and parameters is easily seen. Wave equations and Lagrangians are expressed in terms of the Christoffel symbols, and the independent modes of the system are counted in covariant gauges. Minimal-coupling inconsistency and a combined system of higher-spin boson gauge fields interacting with relativistic particles is discussed.
TL;DR: In this article, the authors consider a class of gauge theories in which chiral fermion fields are coupled to gauge fields, and they show that the breakdown appears to occur in a sequence of steps leading to a hierarchy of mass scales.
TL;DR: In this article, the Yang-Mills theory is described in terms of a bundle of fiber bundles, and the curvature of the corresponding gauge field is shown to have a global character.
Abstract: The appropriate language for describing the pure Yang-Mills theories is introduced. An elementary but precise presentation of the mathematical tools which are necessary for a geometrical description of gauge fields is given. After recalling basic notions of differential geometry, it is shown in what sense a gauge potential is a connection in some fiber bundle, and the corresponding gauge field the associated curvature. It is also shown how the global aspects of the theory (e.g., boundary conditions) are coded into the structure of the bundle. Gauge transformations and equations of motion, as well as the selfduality equations, acquire then a global character, once they are defined in terms of operations in the bundle space. Finally the orbit space, that is to say, the set of gauge inequivalent potentials, is defined, and its is shown why there is no continuous gauge fixing in the non-Abelian case.
TL;DR: In this article, the authors give a brief description of a family of models which generalize the non-linear σ-model, and possess a local gauge invariance without containing explicitly a gauge field.
TL;DR: In this paper, the authors complete the proof of a recently proposed new characterization of scalar supersymmetric theories and extend this result to non-scalar models such as super-symmetric gauge theories.
TL;DR: A non-singular version of the Makeenko-Migdal equation for the Wilson loop average in two-dimensional U(N) gauge theory is derived in this paper, where the exact solution is obtained for an arbitrary (with any self-intersections) closed loop.
TL;DR: In this paper, it was shown that the large distance behavior of gauge theories is stable, within certain limits, with respect to the addition of non-invariant interactions at small distances.
TL;DR: In this paper, it is argued that the perturbation expansion is asymptotic for the gauge invariant correlation functions, but not for the non-perturbative defect-like field configurations.
TL;DR: In this paper, the three-loop calculation of the charge renormalization function β ( g 2 ) for SU(4)-supersymmetric non-abelian gauge theory is presented.
TL;DR: In this article, the transformation laws of chiral superfields with arbitrary Weyl weight w are determined for the U(2) superconformal theory, and a super-conformally invariant density is given for fields with w = 2.
01 Jan 1980
TL;DR: In this article, a comprehensive discussion of the off-shell structure of super symmetric gauge theories is presented, and various methods for finding the auxiliary fields which are necessary to permit a manifest realization of supersymmetry in a field theory are reviewed.
Abstract: A comprehensive discussion of the off-shell structure of super symmetric gauge theories is presented. We review various methods for finding the auxiliary fields which are necessary to permit a manifest realization of supersymmetry in a field theory.
TL;DR: In this article, the dynamics of classical spinning particles are studied from the point of view of gauge supersymmetry, which is accomplished by describing the spin degrees of freedom by means of odd Grassman algebra elements and relying on Dirac's theory of constrained Hamiltonian systems.
Abstract: The dynamics of classical spinning particles is studied from the point of view of gauge supersymmetry. The central idea is that the natural way of introducing intrinsic spin degrees of freedom into a physical system is to take the square root of the Hamiltonian generators of the system without spin, which is equivalent to rendering the system gauge supersymmetric. This is accomplished by describing the spin degrees of freedom by means of ’’anticommuting c‐numbers’’ (odd Grassman algebra elements) and relying on Dirac’s theory of constrained Hamiltonian systems. The requirement of gauge supersymmetry fixes completely the action principle and leaves neither room nor need for a d h o c subsidiary conditions on the relative direction of the spin and the velocity as in the more traditional treatments. Both massive and massless particles free and in interaction with electromagnetic and gravitational fields are discussed. It is found that there exists a supergauge in which the spin tensor of a massive particle in a gravitational field is transported in parallel but the particle does not follow a geodesic. Massless particles on the other hand have the property of possessing a supergauge where their helicity is conserved and in which at the same time the worldline is a geodesic. Special attention is paid to the meaning and properties of the supergauge transformations. The main aspects of that discussion are applicable to more complicated systems such as supergravity. In particular phenomena such as necessity of invoking the equations of motion to close the gauge are analyzed.
TL;DR: In this article, it was shown that in a symmetric background gauge field these conservation laws persist, but in modified form, and a further contribution to the conserved quantity occurs.
TL;DR: The first off-shell formulation of maximally extended N = 4 supersymmetric gauge theories was presented in this paper, where the multiplet has a manifest SP(4) internal symmetry and requires an offshell central charge which vanishes on-shell.