New dual relations between quantum field theory and string regimes in curved backgrounds

Details New dual relations between quantum field theory and string regimes in curved backgrounds New dual relations between quantum field theory and string regimes in curved backgrounds

1999-06-03

arxiv.org/abs/hep-th/9906025v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures, comments added, title changed

Scientific paper

A {\cal R} "dual" transform is introduced which relates Quantum Field Theory and String regimes, 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 {\cal R}-transform is not an assumed or {\it 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 {\cal R}-mapped one into the other. If back reaction of quantum matter is included, Quantum Field Theory and String phases appear, and {\cal R}-relations between them manifest as well. These {\cal R}-transformations are explicitly shown in two relevant examples: Black Hole and de Sitter space times.

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