Coarse Graining Spin Foam Quantum Gravity—A Review

Steinhaus, Sebastian

doi:10.3389/fphy.2020.00295

Cited by 44 publications

(34 citation statements)

References 120 publications

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“…For instance, in group field JHEP12(2020)131 theory [65][66][67][68], promising results regarding asymptotic freedom [69,70] and asymptotic safety [22,71] have been obtained, see [67] for a review. Similarly, RG techniques are being developed and applied in the search for a critical point in spin foams, see [72,73]. In this setting, studies of the phase diagram of quantum gravity have only recently started [74][75][76][77].…”

Section: Jhep12(2020)131mentioning

confidence: 99%

The phase diagram of the multi-matrix model with ABAB interaction from functional renormalization

Eichhorn

Pereira

Pithis

2020

J. High Energ. Phys.

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At criticality, discrete quantum-gravity models are expected to give rise to continuum spacetime. Recent progress has established the functional renormalization group method in the context of such models as a practical tool to study their critical properties and to chart their phase diagrams. Here, we apply these techniques to the multi-matrix model with ABAB interaction potentially relevant for Lorentzian quantum gravity in 3 dimensions. We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality and subjecting the technique to another strong test of its performance in discrete quantum gravity by comparing to known results.

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Section: Jhep12(2020)131mentioning

confidence: 99%

The phase diagram of the multi-matrix model with ABAB interaction from functional renormalization

Eichhorn

Pereira

Pithis

2020

J. High Energ. Phys.

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“…Since R 0 is the spread of the smearing function regulating the Newtonian potential, we can assume that R 0 is small with respect to the distance d. Thus, in the limit of R 0 being small, one finds that η 12 → −2=d 3 and η AE → ∓2=d 3 . Correspondingly, one has η 2 þ η 2 12 → 4=d 6 . By substituting these values, Eq.…”

Section: Linear Limit Of the Td Modelmentioning

confidence: 99%

“…The two theories well perform in their respective realms, yet one still needs to bridge an important gap in order to arrive at a unique theory. While there are several approaches trying to quantize gravity [1][2][3], such as string theory [4], loop quantum gravity [5] or spin foam quantum gravity [6], a clear empirical evidence that gravity should be treated quantum mechanically is still lacking . The other option is to move closer to the realm of general relativity as we know it, modifying quantum mechanics [28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Gravity as a classical channel and its dissipative generalization

2021

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“…In [48], S. Steinhaus provides an updated review on the implementation of coarse-graining techniques in spin foam models. He focuses on modern techniques such as tensor network renormalization.…”

Section: List Of Papers In the Special Issuementioning

confidence: 99%

Editorial: Coarse graining in quantum gravity -- Bridging the gap between microscopic models and spacetime physics

Eichhorn¹,

Bähr²,

Pereira³

2021

Preprint

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The Renormalization Group encodes three concepts that could be key to accelerate progress in quantum gravity. First, it provides a micro-macro connection that could connect microscopic spacetime physics to phenomenology at observationally accessible scales. Second, it enables a search for universality classes that could link diverse quantum-gravity approaches and allow us to discover that distinct approaches could encode the same physics in mathematically distinct structures. Third, it enables the emergence of symmetries at fixed points of the Renormalization Group flow, providing a way for spacetime symmetries to emerge from settings in which these are broken at intermediate steps of the construction. These three concepts make the Renormalization Group an attractive method and conceptual underpinning of quantum gravity. Yet, in its traditional setup as a local coarse-graining, it could appear at odds with concepts like background independence that are expected of quantum gravity. Within the last years, several approaches to quantum gravity have found ways how these seeming contradictions could be reconciled and the power of the Renormalization Group approach unleashed in quantum gravity. This special issue brings together research papers and reviews from a broad range of quantum gravity approaches, providing a partial snapshot of this evolving field.

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Coarse Graining Spin Foam Quantum Gravity—A Review

Cited by 44 publications

References 120 publications

The phase diagram of the multi-matrix model with ABAB interaction from functional renormalization

The phase diagram of the multi-matrix model with ABAB interaction from functional renormalization

Gravity as a classical channel and its dissipative generalization

Editorial: Coarse graining in quantum gravity -- Bridging the gap between microscopic models and spacetime physics

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