# From configuration to dynamics -- Emergence of Lorentz signature in classical field theory

@article{Mukohyama2013FromCT, title={From configuration to dynamics -- Emergence of Lorentz signature in classical field theory}, author={Shinji Mukohyama and Jean-Philippe Uzan}, journal={Physical Review D}, year={2013}, volume={87}, pages={065020} }

The Lorentzian metric structure used in any field theory allows one to implement the relativistic notion of causality and to define a notion of time dimension. This article investigates the possibility that at the microscopic level the metric is Riemannian, i.e. locally Euclidean, and that the Lorentzian structure, that we usually consider as fundamental, is in fact an effective property that emerges in some regions of a 4-dimensional space with a positive definite metric. In such a model…

## 23 Citations

### EMERGENCE OF THE LORENTZIAN STRUCTURE IN CLASSICAL FIELD THEORY

- Physics
- 2013

The Lorentzian metric structure allows one to implement the relativistic notion of causality in any field theory and to define a notion of time dimension. We propose that at the microscopic level the…

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We consider generic derivative corrections to the Einstein gravity and find new classes of theories without ghost around the Minkowski background by means of an extension of the spacetime geometry.…

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- 2015

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- PhilosophyClassical and Quantum Gravity
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We compute the one-loop divergences in a higher-derivative theory of gravity including Ricci tensor squared and Ricci scalar squared terms, in addition to the Hilbert and cosmological terms, on an…

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