Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
Physical review. B, Solid state1971Vol. 4(9), pp. 3174–3183
Citations Over TimeTop 1% of 1971 papers
Abstract
The Kadanoff theory of scaling near the critical point for an Ising ferromagnet is cast in differential form. The resulting differential equations are an example of the differential equations of the renormalization group. It is shown that the Widom-Kadanoff scaling laws arise naturally from these differential equations if the coefficients in the equations are analytic at the critical point. A generalization of the Kadanoff scaling picture involving an "irrelevant" variable is considered; in this case the scaling laws result from the renormalization-group equations only if the solution of the equations goes asymptotically to a fixed point.
Related Papers
- → Quantum gravity on foliated spacetimes: Asymptotically safe and sound(2017)140 cited
- → Lectures on renormalization and asymptotic safety(2014)122 cited
- → Hypercuboidal renormalization in spin foam quantum gravity(2017)61 cited
- → Towards a non-perturbative renormalization of euclidean quantum gravity(1995)16 cited