Y Meurice and G Ordaz 1996 J. Phys. A: Math. Gen. 29 L635 doi:10.1088/0305-4470/29/24/005
A two-parameter recursion formula for scalar field theory
Y Meurice and G Ordaz
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We present a two-parameter family of recursion formulae for scalar field theory. The first parameter is the dimension (D). The second parameter 
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 
depends continuously on 
. We suggest the use of the -independence as a guide to construct improved recursion formulae.
- PACS
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11.10.Hi Renormalization group evolution of parameters
64.60.A- Specific approaches applied to studies of phase transitions
- MSC
- Subjects
- Dates
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Issue 24 (21 December 1996)
Received 30 July 1996
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A two-parameter recursion formula for scalar field theory
Y Meurice and G Ordaz 1996 J. Phys. A: Math. Gen. 29 L635
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