String Propagators in Time-Dependent and Time-Independent Homogeneous Plane Waves

Details String Propagators in Time-Dependent and Time-Independent Homogeneous Plane Waves String Propagators in Time-Dependent and Time-Independent Homogeneous Plane Waves

2003-10-06

arxiv.org/abs/hep-th/0310044v2

JHEP 0311 (2003) 007

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, no figures, minor corrections added

Scientific paper

10.1088/1126-6708/2003/11/007

For a special time-dependent homogeneous plane wave background that includes a null singularity we construct the closed string propagators. We carry out the summation over the oscillator modes and extract the worldsheet spacetime structures of string propagators specially near the singularity. We construct the closed string propagators in a time-independent smooth homogeneous plane wave background characterized by the constant dilaton, the constant null NS-NS field strength and the constant magnetic field. By expressing them in terms of the hypergeometric function we reveal the background field dependences and the worldsheet spacetime structures of string propagators. The conformal invariance condition for the constant dilaton plays a role to simplify the expressions of string propagators.

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