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arXiv · hep-th/9406145

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

Sergei D. Odintsov·August Romeo·Robin W. Tucker
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Abstract

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 $Λ^{1/2}$ (where $Λ$ 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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Sergei D. Odintsov, August Romeo, Robin W. Tucker. 1994-06-22. Dynamical Generation of Spacetime Signature by Massive Quantum Fields on a Topologically Non-Trivial Background. https://doi.org/10.1088/0264-9381%2F11%2F12%2F010

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