Emergence of gravity from quantum field theory in triangulated spacetime and the QFT vector model

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1. Verfasser: Raasakka, Matti
Format: Preprint
Veröffentlicht: 2025
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author Raasakka, Matti
author_facet Raasakka, Matti
contents We formulate quantum field theory in triangulated spacetime using compositional quantum field theory and tensor network methods. We show that gravitational interactions emerge as a low-energy effective phenomenon in this framework. For concrete calculations we use free massive scalar field theory in two-dimensional Lorentzian spacetime, but the results generalize to other models and higher dimensions. Finally, our results lead us to propose a new approach to the unification of quantum field theory with gravity, the QFT vector model, which combines insights and techniques from various current approaches to quantum gravity such as causal dynamical triangulations, random tensor models, group field theory, emergent gravity and holography.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07102
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Emergence of gravity from quantum field theory in triangulated spacetime and the QFT vector model
Raasakka, Matti
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
We formulate quantum field theory in triangulated spacetime using compositional quantum field theory and tensor network methods. We show that gravitational interactions emerge as a low-energy effective phenomenon in this framework. For concrete calculations we use free massive scalar field theory in two-dimensional Lorentzian spacetime, but the results generalize to other models and higher dimensions. Finally, our results lead us to propose a new approach to the unification of quantum field theory with gravity, the QFT vector model, which combines insights and techniques from various current approaches to quantum gravity such as causal dynamical triangulations, random tensor models, group field theory, emergent gravity and holography.
title Emergence of gravity from quantum field theory in triangulated spacetime and the QFT vector model
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2505.07102