Absence of Asymptotic Freedom in Non-Abelian Models
Patrascioiu, A. ; Seiler, E.
arXiv, 0002153 / Harvested from arXiv
Text on arXiv
The percolation properties of equatorial strips of the two dimensional O(3) nonlinear $\sigma$ model are investigated numerically. Convincing evidence is found that a sufficently narrow strip does not percolate at arbitrarily low temperatures. Rigorous arguments are used to show that this result implies both the presence of a massless phase at low temperature and lack of asymptotic freedom in the massive continuum limit. A heuristic estimate of the transition temperature is given which is consistent with the numerical data.
Publié le : 2000-02-18
Classification:  High Energy Physics - Theory,  High Energy Physics - Lattice,  Mathematical Physics 
@article{0002153,
     author = {Patrascioiu, A. and Seiler, E.},
     title = {Absence of Asymptotic Freedom in Non-Abelian Models},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002153}
}

Patrascioiu, A.; Seiler, E. Absence of Asymptotic Freedom in Non-Abelian Models. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002153/