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Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher
classification
🧮 math.PR
math-phmath.MP
keywords
criticalgrouprenormalisationself-avoidingwalkweaklyanalysiscontinuous-time
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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.
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