J. Iliopoulos

Spontaneously Broken Supergauge Symmetries and Goldstone Spinors

Abstract We present a model with a spontaneously broken supergauge symmetry which results in the appearance of a massless Goldstone spinor. The model combines supergauge invariance with ordinary gauge invariance. After the breaking the gauge boson acquires a mass as a result of the Higgs mechanism.

Broken supergauge symmetry and renormalization

A field theory model invariant under supergauge transformations is shown to be renormalizable to all orders in perturbation theory. Renormalization is shown to be consistent with supergauge invariance. It is further shown that only one renormalization constant is needed, a common wave function renormalization for all fields. A symmetry breaking term iis introduced which breaks the symmetry explicitly but so smoothly that the renormalization procedure of the symmetric case can still be applied. Relations among masses and coupling constants emerge. Among other topics discussed, the possibility that the supergauge symmetry is spontaneously broken and that a Goldstone spinor appears is examined.

An anomaly-free version of Weinberg's model

Abstract We discuss the difficulties of carrying the renormalization program in a theory containing Adler anomalies. We present some models of weak and electromagnetic interactions, involving both lepton and quark fields, in which the troublesome anomalies cancel.

A note on the classical symmetries of the closed bosonic membranes

Abstract We determine the infinite-dimensional Lie algebras of the classical symmetries for the closed bosonic membranes. In the case of the torus membrane, T 2 =S 1 ×S 1 , we find a particular Virasoro subalgebra of these symmetries and we discuss possible implications for the spectrum of the quantum torus membrane.

A note on SU(∞) classical Yang-Mills theories

Abstract We find that the classical SU(N) Yang-Mills theories, in the large N limit, can be described by a new type of gauge principle. The gauge potentials become c-number functions of two additional coordinates, which parametrize the surface of an internal sphere at every spacetime point. The new gauge transformations are the area preserving coordinate transformations of the sphere.

Equivalence of Stochastic and Canonical Quantization in Perturbation Theory

Abstract It is shown that the stochastic quantization method introduced by Parisi and Wu reproduces, order by order, the ordinary perturbation expansion. The proof is valid for any field theory, including gauge theories, provided one considers gauge-invariant quantities.

One-loop effective action around De Sitter space

Abstract The non-local one-loop contribution to the gravitational effective action around De Sitter space is computed using the background field method with pure trace external gravitational fields and it is shown to vanish. The calculation is performed in a generic covariant gauge and the result is verified to be gauge invariant.

New realizations of the Virasoro algebra as membrane symmetries

Abstract We construct new realizations of the Virasoro algebra as subalgebras of area preserving diffeomorphisms of surfaces, which are the membrane symmetries. For the membrane torus, the SDiff(T 2 ) algebra has a central extension of unique form and the corresponding Virasoro subalgebras are in general realized as non-trivial central extensions. These central extensions should be relevant to the question whether quantum string excitations may be contained in the membrane spectrum.

Infrared stability or anti-grandunification

Abstract We attempt to exploit the idea that the observed symmetries in particle physics may be infrared attractive fixed points of general classes of theories which do not obey the particular symmetries. Westudy some global as well as abelian gauge symmetries. For the latter we find that spinor QED is an infrared attractor while scalar QED is not.

A covariant ghost-free perturbation expansion for Yang-Mills theories☆

Abstract Starting from the equilibrium Fokker-Planck equation, we develop a perturbation expansion for Yang-Mills theories, in a covariant gauge, which is power-counting renormalizable and free from Faddeev-Popov ghosts.