Details
| Original language | English |
|---|---|
| Pages (from-to) | 151-165 |
| Number of pages | 15 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Issue number | 12 |
| Publication status | Published - 7 Dec 2005 |
| Externally published | Yes |
Abstract
GMTWatts established that in two-dimensional critical percolation the crossing probability Πhv satisfies a fifth-order differential equation which includes another one of third order whose independent solutions describe the physically relevant quantities 1,Πh, Πhv. We will show that this differential equation can be derived from a level three null vector condition for a rational c = -24 conformal field theory and motivate how this solution may be fitted into known properties of percolation.
Keywords
- Conformal field theory, Percolation problems (theory), Stochastic Loewner evolution
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Decision Sciences(all)
- Statistics, Probability and Uncertainty
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In: Journal of Statistical Mechanics: Theory and Experiment, No. 12, 07.12.2005, p. 151-165.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Proposal for a conformal field theory interpretation of Watts' differential equation for percolation
AU - Flohr, Michael
AU - Müller-Lohmann, Annekathrin
PY - 2005/12/7
Y1 - 2005/12/7
N2 - GMTWatts established that in two-dimensional critical percolation the crossing probability Πhv satisfies a fifth-order differential equation which includes another one of third order whose independent solutions describe the physically relevant quantities 1,Πh, Πhv. We will show that this differential equation can be derived from a level three null vector condition for a rational c = -24 conformal field theory and motivate how this solution may be fitted into known properties of percolation.
AB - GMTWatts established that in two-dimensional critical percolation the crossing probability Πhv satisfies a fifth-order differential equation which includes another one of third order whose independent solutions describe the physically relevant quantities 1,Πh, Πhv. We will show that this differential equation can be derived from a level three null vector condition for a rational c = -24 conformal field theory and motivate how this solution may be fitted into known properties of percolation.
KW - Conformal field theory
KW - Percolation problems (theory)
KW - Stochastic Loewner evolution
UR - http://www.scopus.com/inward/record.url?scp=33645683598&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/0507211
DO - 10.48550/arXiv.hep-th/0507211
M3 - Article
AN - SCOPUS:33645683598
SP - 151
EP - 165
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
IS - 12
ER -