J. Phys. France
Volume 51, Numéro 15, août 1990
|Page(s)||1595 - 1606|
On the replica approach to random directed polymers in two dimensionsGiorgio Parisi
Dipartimento di Fisica, INFN sezione Tor Vergata, Università di Roma Tor Vergata, Prolungamento di Via del Fontanile di Carcaricola, Roma 00173, Italy
In this note we study directed polymers in a two dimensional random medium with short range noise using the replica approach. We find the predictions of the replica symmetric theory and we compare them with exact results. We consider the possibility of spontaneous symmetry breaking and we suggest that replica symmetry is weakly broken also in this two dimensional model.
0550 - Lattice theory and statistics (Ising, Potts, etc.).
0540 - Fluctuation phenomena, random processes, noise, and Brownian motion.
lattice theory and statistics -- polymers -- random processes -- spontaneous symmetry breaking