Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher
arXiv:1003.4484
Abstract
We outline a proof, by a rigorous renormalisation group method, that the critical two-point function for continuous-time weakly self-avoiding walk on Z^d decays as |x|^{-(d-2)} in the critical dimension d=4, and also for all d>4.
25 pages, 1 diagram, lecture at ICM 2010, Hyderabad, in section on probability and statistics, crosslisted with section on mathematical physics