A Two-Parameter Recursion Formula For Scalar Field Theory

Details A Two-Parameter Recursion Formula For Scalar Field Theory A Two-Parameter Recursion Formula For Scalar Field Theory

1996-08-06

arxiv.org/abs/hep-lat/9608023v1

J.Phys. A29 (1996) L635-L638

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, uses Revtex, one Postcript figure

Scientific paper

10.1088/0305-4470/29/24/005

We present a two-parameter family of recursion formulas for scalar field theory. The first parameter is the dimension $(D)$. The second parameter ($\zeta$) allows one to continuously extrapolate between Wilson's approximate recursion formula and the recursion formula of Dyson's hierarchical model. We show numerically that at fixed $D$, the critical exponent $\gamma $ depends continuously on $\zeta$. We suggest the use of the $\zeta -$independence as a guide to construct improved recursion formulas.

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