Finite Size Scaling and "perfect" actions: the three dimensional Ising model

Using Finite-Size Scaling techniques, we numerically show that the first irrelevant operator of the lattice λΦ^(4) theory in three dimensions is within errors completely decoupled at λ = 1.0. This interesting result also holds in the Thermodynamical Limit, where the renormalized coupling constant sh...

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Detalles Bibliográficos
Autores: Ballesteros, H.G., Fernández Pérez, Luis Antonio, Martín Mayor, Víctor, Muñoz Sudupe, Antonio
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/60079
Acceso en línea:https://hdl.handle.net/20.500.14352/60079
Access Level:acceso abierto
Palabra clave:53
51-73
Antiferromagnetic RP(2) model
Asymptotically free theories
Monte-Carlo simulations
Critical exponents
Renormalization-group
3 dimensions
Field-theory
Percolation
Dynamics.
Física (Física)
Física-Modelos matemáticos
22 Física
Descripción
Sumario:Using Finite-Size Scaling techniques, we numerically show that the first irrelevant operator of the lattice λΦ^(4) theory in three dimensions is within errors completely decoupled at λ = 1.0. This interesting result also holds in the Thermodynamical Limit, where the renormalized coupling constant shows an extraordinary reduction of the scaling-corrections when compared with the Ising model. It is argued that Finite-Size Scaling analysis can be a competitive method for finding improved actions.