arXiv subjects
Publications and source records attributed to A. G. Pronko.
We consider the one-dimensional Hubbard model with the infinitely strong repulsion. The two-point dynamical temperature correlation functions are calculated. They are represented as Fredholm determinants of linear integrable integral operators.
The quantum nonrelativistic two-component Bose and Fermi gases with the infinitely strong point-like coupling between particles in one space dimension are considered. Time and temperature dependent correlation functions are represented in the thermodynamic limit as Fredholm determinants of integrable linear integral operators.
We consider bosonisation of the low-energy QCD based on integrating the anomaly of the extended chiral (E$χ$) transformation which depends both on pseudoscalar meson and scalar diquark fields as parameters. The relationship between extended chiral and usual chiral anomalies and related anomalous actions is studied. The effective action for the extended chiral field $\U$ depending on complete set of anomalous generators of the E$χ$-transformation is given. The terms of this effective action relevant to interaction of pions and $\bar 3_c$ scalar diquarks are written down explicitly.