Finite temperature expectation values of local fields in the sinh-Gordon model

Sklyanin's method of separation of variables is employed in a calculation o f finite temperature expectation values. An essential element of the approa ch is Baxter's Q-function. We propose its explicit form corresponding to th e ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exp onential fields to one-loop order of the semi-classical expansion. (C) 2001 Published by Elsevier Science B.V.