FAST TRACK COMMUNICATION: Percolation crossing formulae and conformal field theory
dc.contributor.author | Simmons, Jacob J. H. | en_US |
dc.contributor.author | Kleban, Peter | en_US |
dc.contributor.author | Ziff, Robert M. | en_US |
dc.date.accessioned | 2008-04-02T14:52:14Z | |
dc.date.available | 2008-04-02T14:52:14Z | |
dc.date.issued | 2007-08-03 | en_US |
dc.identifier.citation | Simmons, Jacob J H; Kleban, Peter; Ziff, Robert M (2007). "FAST TRACK COMMUNICATION: Percolation crossing formulae and conformal field theory." JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL. 40(31): F771-F784. <http://hdl.handle.net/2027.42/58183> | en_US |
dc.identifier.issn | 1751-8121 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/58183 | |
dc.description.abstract | Using conformal field theory, we derive several new crossing formulae at the two-dimensional percolation point. High-precision simulation confirms these results. Integrating them gives a unified derivation of Cardy's formula for the horizontal crossing probability Πh(r), Watts' formula for the horizontal–vertical crossing probability Πhv(r) and Cardy's formula for the expected number of clusters crossing horizontally . The main step in our approach implies the identification of the derivative of one primary operator with another. We present operator identities that support this idea and suggest the presence of additional symmetry in c = 0 conformal field theories. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 506839 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | FAST TRACK COMMUNICATION: Percolation crossing formulae and conformal field theory | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Michigan Center for Theoretical Physics and Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109-2136, USA | en_US |
dc.contributor.affiliationother | LASST and Department of Physics & Astronomy, University of Maine, Orono, ME 04469, USA | en_US |
dc.contributor.affiliationother | LASST and Department of Physics & Astronomy, University of Maine, Orono, ME 04469, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/58183/2/a7_31_f03.pdf | |
dc.identifier.doi | http://dx.doi.org/10.1088/1751-8113/40/31/F03 | en_US |
dc.identifier.source | JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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