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

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 ${\Lambda }^{1/2}$ (where $\Lambda$ is a proper-time cutoff), a flat metric with Lorentzian signature is preferred on ${\mathbf{R}}^4\times {\mathbf{S}}^1$. 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.

References in corpus (4)

• The Higgs Phenomenon in Quantum Gravity
• Dynamical Origin of the Lorentzian Signature of Spacetime
• Dynamical Determination of the Metric Signature in Spacetime of Nontrivial Topology
• On the Relation between Classical and Quantum Cosmology in a 2-Dimensional Dilaton-Gravity Model

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