Quantum string theory in curved space-times

Details Quantum string theory in curved space-times Quantum string theory in curved space-times

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990an....311..231s&link_type=abstract

Astronomische Nachrichten (ISSN 0004-6337), vol. 311, no. 4, 1990, p. 231-238.

Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Cosmology, Particle Energy, Quantum Theory, Space-Time Functions, String Theory, Bogoliubov Theory, Elastic Scattering, Inelastic Scattering, Particle Mass, Plancks Constant, Schwarzschild Metric

Scientific paper

A general method to quantize strings in curved space-times is exposed. It treats the space-time metric exactly and the string excitations small as compared with the energy scale of the geometry. The method is applied to cosmological (de Sitter) and black-hole (Schwarzschild) geometries. The critical dimension decreases in one for de Sitter and stays unaltered for black-holes as compared with flat space-time values. Bogoliubov transformations in the context of string theory are derived and the Bogoliubov coefficients describing elastic and inelastic scattering and excitation of modes are computed explicitely. The string-black-hole cross section is derived and a pair mode creation phenomena is found. The quantization and scattering of strings in shock-wave geometries (ultrarelativistic boosted black-holes or Aichelburg-Sexl space time) is found to be exactly solvable.

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