On the DLR equation for the \((\lambda:\phi^ 4: +b:\phi^ 2:+\mu\phi\), \(\mu\neq 0)_ 2\) Euclidean quantum field theory: The uniqueness theorem
The Dobrushin-Lanford-Ruelle (DLR) equation is studied in a certain space of measures in the case of 2-dimensional \(\lambda:\phi^ 4:+b:\phi^ 2:+\mu \phi\), \(\mu\neq 0\), Euclidean quantum field theory. The uniqueness theorem stating that for any \(\mu\neq 0\) there exists unique, translationally invariant 8-regular solutions of the corresponding DLR equation is proved. The theorem is proved by combining the Lee-Yang theorem with the general van Hove type theorem for infinite volume free energy densitities.
scientific article; zbMATH DE number 4082694
scientific article