New Dual Relations Between Quantum Field Theory and String Regimes In Curved Backgrounds

Abstract

A R “dual” transform is introduced which relates Quantum Field Theory and String regimesm, both in a curved background with D-non compact dimensions. This operation maps the characteristic length of one regime into the other (and, as a consequence, mass domains as well). The R-transform is not an assumed or a priori imposed symmetry but is revealed by the QFT and String dynamics in curved backgrounds. The Hawking-Gibbons temperature and the string maximal or critical temperature are R-mapped one into the other. If hack reaction of quantum matter is included, Quantum Field Theory and String phases appear, and R-relations between them manifest as well. T hese R-transformations are explicitly shown in two relevant examples: Black Hole and de Sit ter space times.