SPECIAL ISSUE: Proceedings of the Second Conference on the Exact Renormalization Group; Editors: Stefano Arnone, Yuri A. Kubyshin, Tim R. Morris and Kensuke YoshidaNo Access
CONVERGENCE OF DERIVATIVE EXPANSIONS IN SCALAR FIELD THEORY
https://doi.org/10.1142/S0217751X01004761Cited by:9 (Source: Crossref)
Abstract
The convergence of the derivative expansion of the exact renormalisation group is investigated via the computation of the β function of massless scalar λφ4 theory. The derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. Convergence of the derivative expansion of the Legendre flow equation is trivial at one loop, but also can occur at two loops and in particular converges for an exponential cutoff.
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