Steklov Institute of Mathematics at St.Petersburg

PREPRINT 20/2002

Fredholm determinant representations for correlators of the XY model

This preprint was accepted December 3, 2002
Contact: A. G. Pronko

ABSTRACT:
We present results of calculation of the two-point time-dependent
temperature correlators of ``odd'' spin operators in the
one-dimensional anisotropic XY spin chain in the external
field.  In the thermodynamic limit the correlators are represented in
terms of Fredholm determinants of linear integral operators with
matrix kernels.