Flory exponents from a self-consistent renormalization group

Flory exponents from a self-consistent renormalization group

The wandering exponent u for an isotropic polymer is predicted remarkably well by a simple argument due to Flory. By considering oriented polymers living in a oneparameter farniy of background tangent fields, we are able to relate the wandering exponent to the exponent in the background field through an e-expansion. We then choose the background field to have the same correlations as the indivi...

Ising exponents from the functional renormalization group

We study the 3d Ising universality class using the functional renormalization group. With the help of background fields and a derivative expansion up to fourth order we compute the leading index, the subleading symmetric and antisymmetric corrections to scaling, the anomalous dimension, the scaling solution, and the eigenperturbations at criticality. We also study the cross correlations of scal...

Effective Critical Exponents from Finite Temperature Renormalization Group

Effective critical exponents for the λφ4 scalar field theory are calculated as a function of the renormalization group block size k−1 o and inverse critical temperature βc. Exact renormalization group equations are presented up to first order in the derivative expansion and numerical solutions are obtained with and without polynomial expansion of the blocked potential. For a finite temperature ...

Flory exponents for generalized polymer problems

Gauge Consistent Wilson Renormalization Group: Abelian Case

A version of the Wilson Renormalization Group Equation consistent with gauge symmetry is presented. A perturbative renormalizability proof is established. A wilsonian derivation of the Callan-Symanzik equation is given. PACS: 11.10.Hi, 11.15.-q, 11.15.Tk.