THE OBSERVABLE-STATE MODEL AND NONRENORMALIZABLE THEORIES

Some nonrenormalizable theories are finite

Some nonrenormalizable theories are less singular than all renormalizable theories, and one can use lattice simulations to extract physical information from them. This paper discusses four nonrenormalizable theories that have finite Euclidian and Minkowskian Green’s functions. Two of them have finite energy densities and describe scalar bosons of finite mass. The space of nonsingular nonrenorma...

Are Nonrenormalizable Gauge Theories Renormalizable?

We raise the issue whether gauge theories, that are not renormalizable in the usual power-counting sense, are nevertheless renormalizable in the modern sense that all divergences can be cancelled by renormalization of the infinite number of terms in the bare action. We find that a theory is renormalizable in this sense if the a priori constraints that we impose on the form of the bare action co...

Renormalizable Expansion for Nonrenormalizable Theories: I. Scalar Higher Dimensional Theories

We demonstrate how one can construct renormalizable perturbative expansion in formally nonrenormalizable higher dimensional scalar theories. It is based on 1/N -expansion and results in a logarithmically divergent perturbation theory in arbitrary high odd space-time dimension. The resulting effective coupling is dimensionless and is running in accordance with the usual RG equations. The corresp...

Selection Rules for Nonrenormalizable Couplings in Superstring Theories

We study nonrenormalizable coupling terms in ZN orbifold models. Nontrivial selection rules of couplings are provided and cannot be understood in terms of a simple symmetry of effective field theories. We also discuss phenomenological implications of theses selection rules for the quark mass matrices. Alexander von Humboldt Fellow e-mail: [email protected]

Adler-Bardeen theorem and cancellation of gauge anomalies to all orders in nonrenormalizable theories