Symmetric configurations highlighted by collective quantum coherence
arXiv:1704.02113 · doi:10.1140/epjc/s10052-017-5355-y
Abstract
Recent developments in quantum gravity have shown the Lorentzian treatment to be a fruitful approach towards the emergence of macroscopic spacetimes. In this paper, we discuss another related aspect of the Lorentzian treatment: we argue that collective quantum coherence may provide a simple mechanism for highlighting symmetric configurations over generic non-symmetric ones. After presenting the general framework of the mechanism, we show the phenomenon in some concrete simple examples in the randomly connected tensor network, which is tightly related to a certain model of quantum gravity, i.e., the canonical tensor model. We find large peaks at configurations invariant under Lie-group symmetries as well as a preference for charge quantization, even in the Abelian case. In future study, this simple mechanism may provide a way to analyze the emergence of macroscopic spacetimes with global symmetries as well as various other symmetries existing in nature, which are usually postulated.
19 pages, 4 figures; Major changes in the summary section. Some other minor changes. Figures replaced. References added
References in corpus (4)
Cited by in corpus (9)
- Canonical tensor model through data analysis -- Dimensions, topologies, and geometries --
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- Numerical and analytical analyses of a matrix model with non-pairwise contracted indices
- Phases of a matrix model with non-pairwise index contractions
- Symmetry enhancement in a two-logarithm matrix model and the canonical tensor model
- Phase profile of the wave function of canonical tensor model and emergence of large spacetimes
- Emergence of Lie group symmetric classical spacetimes in canonical tensor model
- Counting tensor rank decompositions