On the sensitivity of n-d scattering states to the nucleon-nucleon interaction

Canonical charge algebras for integrable fermionic theories

We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular, we show that a theory of massless fermions is dual, within a quadratic approximation in the fields, to three different but equivalent bosonic theories: a nonlocal Maxwell--Chern-Simons--type theory, a nonlocal self-dual--type vector theory, and a local free massless bosonic theory. The equivalence is proven at the level of current correlation functions and current algebra analysis.

Dualities and bosonization of massless fermions in three-dimensional space-time

Schwinger and Seagull Terms in Spinor Electrodynamics and the Dimensional Regularization Method

We study composite operators with the aid of dimensional regularization. Using Zimmermann ’’normal product algorithm,’’ we obtain a simple formula for any normal product in renormalized field theory and discuss some of its properties.

Multiplicative renormalization of composite operators

We present a set of rank-one separable potentials for the nucleon-nucleon system corresponding to all partial waves up toL=2. The form factors of these interactions were obtained by using the solution of the inverse problem and by fitting their parameters to represent the Arndt-MacGregor-Wright nucleon-nucleon phase shifts. We have also studied the resulting potentials in computing two- and three-nucleon parameters.

Rank-one separable potentials from nucleo-nucleon phase shifts

An analysis of the Schwinger term is carried out through the extensive application of the nu -dimensional regularization scheme and a systematic use of distribution theory. It is shown that the extension of some aspects of quantum field theory to a space of continuous dimensionality gives rise to a rather formal but operative machinery from which the Schwinger term comes out naturally. As a by-product, it is also shown that the result obtained for this term depends, for arbitrary nu , upon the particular definition of the equal-time commutator between two field operators chosen as the starting point. (LBS)

H. J. de Vega

Papers

Schwinger and Seagull Terms in Spinor Electrodynamics and the Dimensional Regularization Method

Rank-one separable potentials from nucleo-nucleon phase shifts

A v -dimensional analysis of the Schwinger term

Nuclear-matter calculation with a rank-one separable potential