Baby universes revisited

Ambjørn, J.; Barkley, J.; Budd, Timothy; Loll, R.

doi:10.1016/j.physletb.2011.10.062

Cited by 8 publications

(16 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The best know example is two-dimensional EDT coupled to conformal field theories. In this case a generic triangulation which appear in the path integral has a Hausdorff dimension D H (c) = 2, depending on the central charge c [18,19,20,21]. Nevertheless, the spectral dimension D S = 2 [22].…”

Section: Discussionmentioning

confidence: 99%

The spectral dimension in 2D CDT gravity coupled to scalar fields

et al. 2015

Self Cite

View full text Add to dashboard Cite

Causal Dynamical Triangulations (CDT) provide a non-perturbative formulation of Quantum Gravity assuming the existence of a global time foliation. In our earlier study we analyzed the effect of including d copies of a massless scalar field in the two-dimensional CDT model with imaginary time. For d > 1 we observed the formation of a "blob", somewhat similar to that observed in four-dimensional CDT without matter. In the two-dimensional case the "blob" has a Hausdorff dimension D H = 3. In this paper we study the spectral dimension D S of the two-dimensional CDT-universe, both for d = 0 (pure gravity) and d = 4. We show that in both cases the spectral dimension is consistent with D S = 2.

show abstract

Section: Discussionmentioning

confidence: 99%

The spectral dimension in 2D CDT gravity coupled to scalar fields

et al. 2015

Self Cite

View full text Add to dashboard Cite

show abstract

“…Therefore one expects the geodesic distance to keep decreasing and to approach zero as n → ∞. 3 At least a renormalization of the metric is necessary, e.g., by changing the factor γ 2 /2 in the exponential in (15), to obtain finite distances in the n → ∞ limit. More importantly, there is no reason to believe that a possible limit of the geodesic distances with respect to (15) is independent of the chosen basis…”

Section: Liouville Quantum Gravity On the Torusmentioning

confidence: 99%

Geodesic distances in Liouville quantum gravity

Ambjørn

Budd

2014

Nuclear Physics B

Self Cite

View full text Add to dashboard Cite

In order to study the quantum geometry of random surfaces in Liouville gravity, we propose a definition of geodesic distance associated to a Gaussian free field on a regular lattice. This geodesic distance is used to numerically determine the Hausdorff dimension associated to shortest cycles of 2d quantum gravity on the torus coupled to conformal matter fields, showing agreement with a conjectured formula by Y. Watabiki. Finally, the numerical tools are put to test by quantitatively comparing the distribution of lengths of shortest cycles to the corresponding distribution in large random triangulations.Comment: 21 pages, 8 figure

show abstract

“…The Z 2 symmetry is spontaneously broken in this phase. In the case of fluctuating Ising spins coupled to 2D gravity, the spontaneous creation of "baby universes" takes place, and it is known that the spin direction in the daughter universe is always opposite to the spin directions in the parent one (see [15] for review). In our case we see the formation of clusters with opposite spin signs due to dynamic rearrangement of bonds only (since the spins are quenched).…”

Section: B Stringy Interpretationmentioning

confidence: 99%

“…In terms of 2D gravity, the emergence of the plateau can be linked with a "baby universe" formation. It has been proven in [15,19] that critical phenomena in 2D gravity deal with the formation of a newborn ("daughter") bubble connected by the "neck" to the parent universe. The free energy of the system consists of two competing contributions: the mean value of the total "neck diameter", and the spontaneous curvature of the newborn (baby) universe of a given size.…”

Section: B 2d Gravity/stringy Interpretationmentioning

confidence: 99%

Spontaneous symmetry breaking and phase coexistence in two-color networks

et al. 2016

View full text Add to dashboard Cite

We consider an equilibrium ensemble of large Erdős-Renyi topological random networks with fixed vertex degree and two types of vertices, black and white, prepared randomly with the bond connection probability p. The network energy is a sum of all unicolor triples (either black or white), weighted with chemical potential of triples μ. Minimizing the system energy, we see for some positive μ the formation of two predominantly unicolor clusters, linked by a string of N_{bw} black-white bonds. We have demonstrated that the system exhibits critical behavior manifested in the emergence of a wide plateau on the N_{bw}(μ) curve, which is relevant to a spinodal decomposition in first-order phase transitions. In terms of a string theory, the plateau formation can be interpreted as an entanglement between baby universes in two-dimensional gravity. We conjecture that the observed classical phenomenon can be considered as a toy model for the chiral condensate formation in quantum chromodynamics.

show abstract

Baby universes revisited

Cited by 8 publications

References 23 publications

The spectral dimension in 2D CDT gravity coupled to scalar fields

The spectral dimension in 2D CDT gravity coupled to scalar fields

Geodesic distances in Liouville quantum gravity

Spontaneous symmetry breaking and phase coexistence in two-color networks

Contact Info

Product

Resources

About