Unitarity in the presence of closed timelike curves

✍ Scribed by M.S. Costa

• Book ID: 105357532
• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 197 KB
• Volume: 54
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200510281

✦ Synopsis

Abstract

We conjecture that, in certain cases, quantum dynamics is consistent in the presence of closed timelike curves. We consider time dependent orbifolds of three dimensional Minkowski space describing, in the limit of large AdS radius, BTZ black holes inside the horizon. Although perturbative unitarity fails, we show that, for discrete values of the gravitational coupling, particle propagation is consistent with unitarity. This quantization corresponds to the quantization of the black hole angular momentum. We perform the computation at very low energies, where string effects are irrelevant and interactions are dominated by graviton exchange in the eikonal regime.