Abstract:
The quantum authomorphic scalar field in two-dimensional space-time with closed null geodesics (the Cauchy horizon) is considered. The stress energy tensor
$\langle T_{\mu\nu}\rangle^{\mathrm{ren}}$ is obtained. It is shown that the value of $\langle T_{\mu\nu}\rangle^{\mathrm{ren}}$ is regular at the Cauchy horizon for specific authomorphic parameter.