Dynamical Generation of Spacetime Signature by Massive Quantum Fields on a Topologically Non-Trivial Background

Details Dynamical Generation of Spacetime Signature by Massive Quantum Fields on a Topologically Non-Trivial Background Dynamical Generation of Spacetime Signature by Massive Quantum Fields on a Topologically Non-Trivial Background

1994-06-22

arxiv.org/abs/hep-th/9406145v1

Class.Quant.Grav.11:2951-2960,1994

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0264-9381/11/12/010

The effective potential for a dynamical Wick field (dynamical signature) induced by the quantum effects of massive fields on a topologically non-trivial $D$ dimensional background is considered. It is shown that when the radius of the compactified dimension is very small compared with $\Lambda^{1/2}$ (where $\Lambda$ is a proper-time cutoff), a flat metric with Lorentzian signature is preferred on ${\bf R}^4 \times {\bf S}^1$. When the compactification radius becomes larger a careful analysis of the 1-loop effective potential indicates that a Lorentzian signature is preferred in both $D=6$ and $D=4$ and that these results are relatively stable under metrical perturbations.

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