On homogenization and scaling limit of some gradient perturbations of a massless free field
199730 pages
Published in:
- Commun.Math.Phys. 183 (1997) 55-84
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Abstract: (Springer)
We study the continuum scaling limit of some statistical mechanical models defined by convex Hamiltonians which are gradient perturbations of a massless free field. By proving a central limit theorem for these models, we show that their long distance behavior is identical to a new (homogenized) continuum massless free field. We shall also obtain some new bounds on the 2-point correlation functions of these models.- statistical mechanics
- continuum limit
- lattice field theory
- field theory: massless
- massless: field theory
- measure
- functional analysis
- Hilbert space
- differential equations
- correlation function
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