Geodesic
Nonlinear Renormalization Group Flow and Approximate Solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 444-456

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We propose a self-consistent renormalization group prescription for the scalar field theory. The formalism coincides with the local potential approximation in the sharp-cutoff limit but differs from the smooth cutoff. We explore the dependence of the critical exponent $\nu$ on the smoothness parameter and the field of expansion. We use an optimization scheme based on the minimum sensitivity principle to ensure the most rapid convergence of $\nu$ with the polynomial truncation level. 
@article{TMF_2001_127_3_a10,
     author = {Sen-Ben Liao},
     title = {Nonlinear {Renormalization} {Group} {Flow} and {Approximate} {Solutions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {444--456},
     publisher = {mathdoc},
     volume = {127},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_127_3_a10/}
}
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Sen-Ben Liao. Nonlinear Renormalization Group Flow and Approximate Solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 444-456. http://geodesic.mathdoc.fr/item/TMF_2001_127_3_a10/