Complex Effective Path: A Semi-Classical Probe of Quantum Effects

Details Complex Effective Path: A Semi-Classical Probe of Quantum Effects Complex Effective Path: A Semi-Classical Probe of Quantum Effects

2011-12-29

arxiv.org/abs/1112.6279v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages; no figures; to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.85.025011

We discuss the notion of an effective, average, quantum mechanical path which is a solution of the dynamical equations obtained by extremizing the quantum effective action. Since the effective action can, in general, be complex, the effective path will also, in general, be complex. The imaginary part of the effective action is known to be related to the probability of particle creation by an external source and hence we expect the imaginary part of the effective path also to contain information about particle creation. We try to identify such features using simple examples including that of effective path through the black hole horizon leading to thermal radiation. Implications of this approach are discussed.

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