Evolution of Fixed-End Strings and the Off-Shell Disk Amplitude

Details Evolution of Fixed-End Strings and the Off-Shell Disk Amplitude Evolution of Fixed-End Strings and the Off-Shell Disk Amplitude

2001-01-25

arxiv.org/abs/hep-th/0101173v1

Nucl.Phys. B605 (2001) 64-80

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 19 pages, no figures

Scientific paper

10.1016/S0550-3213(01)00188-2

An exact integral expression is found for the amplitude of a Bosonic string with ends separated by a fixed distance $R$ evolving over a time $T$ between arbitrary initial and final configurations. It is impossible to make a covariant subtraction of a covariant quantity which would render the amplitude non-zero. It is suggested that this fact (and not the tachyon) is responsible for the lack of a continuum limit of regularized random-surface models with target-space dimension greater than one. It appears consistent, however, to remove this quantity by hand. The static potential of Alvarez and Arvis $V(R)$ is recovered from the resulting finite amplitude for $R>R_{c}$. For $R

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