作者: A. Bovier , G. Felder , J. Fröhlich
DOI: 10.1016/0550-3213(84)90355-9
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摘要: Abstract We study the two- and three-dimensional, superrenormalizable Edwards model self-avoiding walk of polymers. Using a Schwinger-Dyson equation upper lower bounds on correlations in terms “skeleton diagrams” [6] we establish existence non-trivial continuum limit model. also prove that perturbation theory is asymptotic for these models. A fairly detailed analysis approach to critical point presented. In particular, show η d ⩾4, discuss rigorous consequences conjecture non-negative: among other implications, derive trivial γ =1, ⩾5 dimensions, corrections mean-field scaling laws are at most logarithmic four dimensions.