Abstract
Using an expansion based on the renormalization group philosophy we prove that for a T step weakly self-avoiding random walk in five or more dimensions the variance of the endpoint is of order T and the scaling limit is gaussian, as T→∞.
Work partially supported by N.S.F. Grant DMR 81-00417
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© 1985 Springer-Verlag Berlin, Heidelberg
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Brydges, D., Spencer, T. (1985). Self-Avoiding Walk in 5 or More Dimensions. In: Jaffe, A., Lehmann, H., Mack, G. (eds) Quantum Field Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70307-2_8
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DOI: https://doi.org/10.1007/978-3-642-70307-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15260-6
Online ISBN: 978-3-642-70307-2
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