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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…
Running coupling constant and correlation length from Wilson loops
Massimo Campostrini, Paolo Rossi, Ettore Vicari
We consider a definition of the QCD running coupling constant related to Wilson loops of size with arbitrary fixed . The schemes defined by these couplings…
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…
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…
Strong-coupling expansion of chiral models
Massimo Campostrini, Paolo Rossi, Ettore Vicari
The strong-coupling character expansion of lattice models is reanalyzed in the perspective of its complete algorithmization. The geometric problem of identifying, counting, and gro…