Yj. Gao et Yx. Gui, Section rotations in eta-xi spacetime and direct transformation between imaginary- and real-time thermo field theories, ACT PHY C E, 49(3), 2000, pp. 415-420
Some suitable complex-time transformation is combined organically with the
theory of eta-xi spacetime and a so-called eta-xi complex-time transformati
on is constructed. This gives some section rotations in eta-xi spacetime an
d induces a direct transformation between the imaginary- and real-time ther
mo field theories. These reveal some internal relations between the imagina
ry- and real-time thermo field theories based on the view-point of backgrou
nd spacetime.