Abstract
The quantum complex scalar field which obeys the authomorphic condition in the two-dimensional spacetime with closed timelike curves and the chronology horizon is considered. The renormalized stress--energy tensor is obtained. It is shown that the value of the stress--energy tensor is regular at the chronology horizon for specific authomorphic parameters. Thus the particular example of a field configuration is given for which the Hawking's chronology protection conjecture is violated.
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