Field theory conjecture for loop-erased random walks
| dc.creator | Fedorenko, Andrei A. | |
| dc.creator | Doussal, Pierre Le | |
| dc.creator | Wiese, Kay Joerg | |
| dc.date | 2008-03-16 | |
| dc.date | 2008-11-24 | |
| dc.date.accessioned | 2026-07-07T10:19:56Z | |
| dc.date.available | 2026-07-07T10:19:56Z | |
| dc.description | We give evidence that the functional renormalization group (FRG), developed to study disordered systems, may provide a field theoretic description for the loop-erased random walk (LERW), allowing to compute its fractal dimension in a systematic expansion in epsilon=4-d. Up to two loop, the FRG agrees with rigorous bounds, correctly reproduces the leading logarithmic corrections at the upper critical dimension d=4, and compares well with numerical studies. We obtain the universal subleading logarithmic correction in d=4, which can be used as a further test of the conjecture. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0803.2357 | |
| dc.identifier | http://arxiv.org/abs/0803.2357 | |
| dc.identifier | J. Stat. Phys. 133, 805-812 (2008) | |
| dc.identifier | doi:10.1007/s10955-008-9642-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174691 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Probability | |
| dc.title | Field theory conjecture for loop-erased random walks | |
| dc.type | text |