Abstract

AbstractUsing the Coleman (‐Fröhlich‐Seiler) theorem we have mapped chargeless sectors of some (generalized) Yukawa‐Thirring‐(Schwinger) two‐dimensional models onto pure Bose theories. Discussion of certain correlation inequalities in this framework is made. In particular, we proved that the first and second Griffiths‐Kelly‐Shermann correlation inequalities hold.Correlation inequalities suggest that there is on phase transition of the first order in scalar versions of these models. Some results on the D‐L‐R equations for these models are established, confirming previous suggestion.

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