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Four-Loop Perturbative Expansion for the Lattice -Vector Model
Sergio Caracciolo, Andrea Pelissetto
We compute the four-loop contributions to the -function and the anomalous dimension of the field for the -invariant -vector model. These results are used to compute the…
Application of the -Hyperspherical Harmonics to the Study of the Continuum Limits of One-Dimensional -Models and to the Generation of High-Temperature Expansions in Higher Dimensions
Massimo Campostrini, Attilio Cucchieri, Tereza Mendes +4
In this talk we present the exact solution of the most general one-dimensional -invariant spin model taking values in the sphere , with nearest-neighbour interaction…
Comparison between Theoretical Four-Loop Predictions and Monte Carlo Calculations in the Two-Dimensional -Vector Model for
Sergio Caracciolo, Robert G. Edwards, Tereza Mendes +2
We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice -vector model. This allows the deter…
Dynamic Critical Behavior of Multi-Grid Monte Carlo for Two-Dimensional Nonlinear -Models
Gustavo Mana, Tereza Mendes, Andrea Pelissetto +1
We introduce a new and very convenient approach to multi-grid Monte Carlo (MGMC) algorithms for general nonlinear -models: it is based on embedding an model into the given…
Strong-coupling expansion of lattice O(N) sigma models
Massimo Campostrini, Andrea Pelissetto, Paolo Rossi +1
We report progress in the computation and analysis of strong-coupling series of two- and three-dimensional models. We show that, through a combination of long stro…
Continuum Limits and Exact Finite-Size-Scaling Functions for One-Dimensional -Invariant Spin Models
Attilio Cucchieri, Tereza Mendes, Andrea Pelissetto +1
We solve exactly the general one-dimensional -invariant spin model taking values in the sphere , with nearest-neighbor interactions, in finite volume with periodic b…
Four-point renormalized coupling constant in O(N) models
M. Campostrini, A. Pelissetto, P. Rossi +1
The renormalized zero-momentum four-point coupling of -invariant scalar field theories in dimensions is studied by applying the expansion and strong coupling…
Four-point renormalized coupling constant in O(N) models
M. Campostrini, A. Pelissetto, P. Rossi +1
The renormalized zero-momentum four-point coupling of O(N)-invariant scalar field theories in dimensions is studied by applying the 1/N expansion and strong coupling anal…