Multiple phases and vicious walkers in a wedge

Autor: Gesualdo Delfino, Alessio Squarcini
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Nuclear Physics B, Vol 901, Iss C, Pp 430-443 (2015)
Druh dokumentu: article
ISSN: 0550-3213
1873-1562
DOI: 10.1016/j.nuclphysb.2015.10.019
Popis: We consider a statistical system in a planar wedge, for values of the bulk parameters corresponding to a first order phase transition and with boundary conditions inducing phase separation. Our previous exact field theoretical solution for the case of a single interface is extended to a class of systems, including the Blume–Capel model as the simplest representative, allowing for the appearance of an intermediate layer of a third phase. We show that the interfaces separating the different phases behave as trajectories of vicious walkers, and determine their passage probabilities. We also show how the theory leads to a remarkable form of wedge covariance, i.e. a relation between properties in the wedge and in the half plane, which involves the appearance of self-Fourier functions.
Databáze: Directory of Open Access Journals
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