caa a22 4500 467892954 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10955-006-9186-8 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9186-8 Cardy John Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, OX1 3NP, Oxford, UK aut The O( n ) Model on the Annulus [Elektronische Daten] [John Cardy] We use Coulomb gas methods to derive an explicit form for the scaling limit of the partition function of the critical O(n) model on an annulus, with free boundary conditions, as a function of its modulus. This correctly takes into account the magnetic charge asymmetry and the decoupling of the null states. It agrees with an earlier conjecture based on Bethe ansatz and quantum group symmetry, and with all known results for special values of n. It gives new formulae for percolation (the probability that a cluster connects the two opposite boundaries) and for self-avoiding loops (the partition function for a single loop wrapping non-trivially around the annulus.) The limit n→0 also gives explicit examples of partition functions in logarithmic conformal field theory. Springer Science+Business Media, Inc., 2006 2d critical behavior nationallicence conformal field theory nationallicence percolation nationallicence self-avoiding walks nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/1(2006-10-01), 1-21 0022-4715 125:1<1 2006 125 10955 https://doi.org/10.1007/s10955-006-9186-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9186-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cardy John Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, OX1 3NP, Oxford, UK aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/1(2006-10-01), 1-21 0022-4715 125:1<1 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer