Conformal Spectra of Polymers on a Random Surface
Aug 11, 198815 pages
Published in:
- Phys.Rev.Lett. 61 (1988) 1433
Report number:
- SACLAY-PhT/88-119
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Abstract: (APS)
We consider polymers (self-avoiding walks) on a randomly triangulated planar surface. The partition function of L polymer lines tied by their extremities, in a fluctuating metric, is calculated exactly. The exact infinite conformal spectra so derived are in complete agreement with the exponents found recently for 2D quantum gravity by Knizhnik, Polyakov, and Zamolodchikov.- STATISTICAL MECHANICS: RANDOM SURFACE
- STATISTICAL MECHANICS: PARTITION FUNCTION
- STATISTICAL MECHANICS: CRITICAL PHENOMENA
- MODEL: POLYMER
- INVARIANCE: CONFORMAL
- QUANTUM GRAVITY: TWO-DIMENSIONAL
- MODEL: STRING
- LATTICE: RANDOM
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