Emptiness Formation Probability of the Six-Vertex Model and the Sixth Painlevé Equation

Emptiness Formation Probability of the Six-Vertex Model and the Sixth Painlevé Equation

We show that the emptiness formation probability of the six-vertex model with domain wall boundary conditions at its free-fermion point is a τ -function of the sixth Painlevé equation. Using this fact we derive asymptotics of the emptiness formation probability in the thermodynamic limit.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in mathematical physics 2016-07, Vol.345 (1), p.305-354
Hauptverfasser: Kitaev, A. V., Pronko, A. G.
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We show that the emptiness formation probability of the six-vertex model with domain wall boundary conditions at its free-fermion point is a τ -function of the sixth Painlevé equation. Using this fact we derive asymptotics of the emptiness formation probability in the thermodynamic limit.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-016-2636-5