Quantum Complex Scalar Field in the Two-Dimensional Spacetime with Closed Timelike Curves and a Time-Machine Problem

Abstract

It is considered the quantum complex scalar field which obeys the authomorphic condition in the two-dimensional spacetime with closed timelike curves and the chronology horizon. 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 field configuration is given for which the Hawking's chronology protection conjecture is violated.

21(Latex)Postscript file of the figure may be received from author, CQG-94-1006

References in corpus (2)

• Cosmic Strings and Chronology Protection
• Quantum Field Theory in Spaces with Closed Time-Like Curves

Cited by in corpus (9)

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• A Self-Consistent Vacuum for Misner Space and the Chronology Protection Conjecture
• Chronology Protection and Quantized Fields: Complex Automorphic Scalar Field in Misner Space
• The reliability horizon for semi-classical quantum gravity: Metric fluctuations are often more important than back-reaction
• Topological censorship and chronology protection
• The thermal and two-particle stress-energy must be ill-defined on the 2-d Misner space chronology horizon
• Chronology Protection in Generalized Godel Spacetime
• Particle Creation Near the Chronology Horizon
• The CWKB Method of Particle Production Near Chronology Horizon