A nontrivial saddle-point value of the dynamically generated string tension is found which, near the critical temperature, approaches zero and depends on the zero-temperature string tension linearly, implying that the Hausdorff dimension of the string surface is two. A smooth-rough transition is then found in the Polyakov-Kleinert string with the critical temperature in numerical agreement with the previous result.
- Received 12 May 1989
- Revised 27 December 1989
- Published in the issue dated 15 April 1990
© 1990 The American Physical Society