Recent results in Euclidean dynamical triangulations

Laiho, J.; Bäßler, S.; Coumbe, Daniel; Du, Daping; Neelakanta, Jayanth T.

doi:10.48550/arxiv.1701.06829

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…12 shows the variation of these quantities along the transition line. Clearly D S runs to small (D S ∼ 1.5) values in the UV which is consistent with the earlier EDT studies [24], and CDT studies [25]. In the IR regime the spectral dimension D S (∞) is larger with D S (∞) varying from 1.82 − 2.52.…”

Section: Spectral Dimensionsupporting

confidence: 89%

Euclidean Dynamical Triangulations Revisited

Asaduzzaman¹,

Catterall²

2022

Preprint

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We conduct numerical simulations of a model of four dimensional quantum gravity in which the path integral over continuum Euclidean metrics is approximated by a sum over combinatorial triangulations. At fixed volume the model contains a discrete Einstein-Hilbert term with coupling κ and local measure term with coupling β that weights triangulations according to the number of simplices sharing each vertex. We map out the phase diagram in this two dimensional parameter space and compute a variety of observables that yield information on the nature of any continuum limit. Our results are consistent with a line of first order phase transitions with a latent heat that decreases as κ → ∞. We find a Hausdorff dimension along the critical line that approaches DH = 4 for large κ and a spectral dimension that is consistent with Ds = 3 2 at short distances. These results are broadly in agreement with earlier works on Euclidean dynamical triangulation models which utilize degenerate triangulations and/or different measure terms and indicate that such models exhibit a degree of universality.

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Section: Spectral Dimensionsupporting

confidence: 89%

Euclidean Dynamical Triangulations Revisited

Asaduzzaman¹,

Catterall²

2022

Preprint

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“…where a = 4.02, b = 119, and c = 54. A similar analysis within Euclidean Dynamical Triangulations [45] obtained D s (T ) = 3.94±0.16 and D s (T ) = 1.44±0.19 for the large and small distance values when extrapolating to the continuum and infinite volume limits. Generalizing [46], the scale-dependent spectral dimension along a fixed asymptotically safe renormalization group trajectory has been computed in [47], leading to a three plateau structure with D s (T ) = 4, D s (T ) = 4/3, and D s (T ) = 2 at large, intermediate, and short distances, respectively (also see [48] for a review).…”

Section: Introductionsupporting

confidence: 60%

Black Hole Remnants from Dynamical Dimensional Reduction?

Saueressig,

Khosravi

2021

Preprint

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A intriguing feature shared by many quantum gravity programs is the dynamical decrease of the spectral dimension from Ds = 4 at macroscopic to Ds ≈ 2 at microscopic scales. In this note, we study the impact of this transition on the energy loss of static, spherically symmetric black holes due to Hawking radiation. We demonstrate that the decrease in the spectral dimension renders the luminosity of a black hole finite. While this slightly increases the life-time of light black holes, we find that this mechanism is insufficient to generate long-lived black hole remnants. We briefly comment on the relation of our findings to previous work on this topic.

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Recent results in Euclidean dynamical triangulations

Cited by 2 publications

References 9 publications

Euclidean Dynamical Triangulations Revisited

Euclidean Dynamical Triangulations Revisited

Black Hole Remnants from Dynamical Dimensional Reduction?

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