The description of solids at a microscopic level is complex, involving the interaction of a
huge number of its constituents, such as ions or electrons. It is impossible to solve the …

We review applications of the sine-Gordon model, the O (3) non-linear sigma model, the U
(1) Thirring model, and the O (N) Gross–Neveu model to quasi one-dimensional quantum …

In this Letter we report exact results on the infrared asymptotics of the one-particle dynamical
correlation function of the gas of impenetrable spin 1/2 fermions at infinitesimal temperature …

In this work we explore an instance of the $\tau $-function of vertex type operators, specified
in terms of a constant phase shift in a free-fermionic basis. From the physical point of view …

We study thermal correlation functions of the one-dimensional impenetrable lattice anyons.
These correlation functions can be presented as a difference of two Fredholm determinants …

We calculate the long time and distance asymptotics of the one-particle correlation functions
in the model of impenetrable spin 1/2 fermions in 1+ 1 dimensions. We consider the spin …

We consider a one-dimensional gas of spin-1/2 fermions interacting through δ-function
repulsive potential of an arbitrary strength. For the case of all fermions but one having spin …

We investigate a free one-dimensional spinless Fermi gas, and the Tonks–Girardeau gas
interacting with a single impurity particle of equal mass. We obtain a Fredholm determinant …

We address the problem of calculating the correlation functions of one-dimensional two-
component gases with strong repulsive contact interactions. The model considered in this …

We address the problem of computing the thermodynamic properties of the repulsive one-
dimensional two-component Fermi gas with contact interaction, also known as the Gaudin …