Constraints on Beta Functions from Duality

Дата и время публикации : 1996-09-25T07:20:12Z

Авторы публикации и институты :
P. H. Damgaard
P. E. Haagensen

Ссылка на журнал-издание: J.Phys.A30:4681-4686,1997
Коментарии к cтатье: LaTeX, 6 pages
Первичная категория: cond-mat

Все категории : cond-mat, hep-lat, hep-th

Краткий обзор статьи: We analyze the way in which duality constrains the exact beta function and correlation length in single-coupling spin systems. A consistency condition we propose shows very concisely the relation between self-dual points and phase transitions, and implies that the correlation length must be duality invariant. These ideas are then tested on the 2-d Ising model, and used towards finding the exact beta function of the $q$-state Potts model. Finally, a generic procedure is given for identifying a duality symmetry in other single-coupling models with a continuous phase transition.

Category: Physics