Abstract
The methods of Polchinski, and Burgess and Morris are used and extended to evaluate Polyakov’s path integral for open, oriented smooth strings on a cylinder. The smooth string action possesses an (on-shell) invariance under normal variations in the direction of the mean curvature vector of the imbedded surface provided the surface is stationary. Fixing this gauge in the path integral allows one to eliminate all negative norm states arising from higher derivative terms. The free energy and the static potential of the smooth strings are computed. We find that the open smooth strings can be made tachyon-free and has the preferred coefficient −π/6 for the 1/R term in the static potential (for d=4) for large R.
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