De Sitter space as BRST invariant coherent state of gravitons

Berezhiani, Lasha; Dvali, Gia; Sakhelashvili, Otari

doi:10.48550/arxiv.2111.12022

Cited by 3 publications

(6 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is interesting to recall that a similar bound was also found for stable configurations of boson stars[54,65] 6. An alternative viewpoint is considered in Refs [33,31],.…”

mentioning

confidence: 54%

“…which can be viewed as the probability that the dust ball is a black hole (when the mass M is treated as a fixed parameter 6 ). For the ground state and values of M m p , the probability density P = P N M (R) narrowly peaks around a value of R = R M below R H and one thus finds…”

Section: General Relativistic Discrete Spectrummentioning

confidence: 99%

“…We shall therefore assume that the relevant quantum states of gravity for static and spherically symmetric black holes effectively reproduce the Schwarzschild geometry (69). With this in mind, what is proposed next can be seen as quantising the longitudinal mode of the gravitational field using coherent states (which have the property of minimising the quantum uncertainty) in a suitable Fock space that is built starting from the Minkowski background vacuum [15,59,8,6].…”

Section: Coherent State For the "Hairy" Geometrymentioning

confidence: 99%

See 2 more Smart Citations

Horizon quantum mechanics and the inner side of black holes

Casadio

Giusti

Giugno

et al. 2022

The Fifteenth Marcel Grossmann Meeting

View full text Add to dashboard Cite

The idea that gravity can act as a regulator of ultraviolet divergences is almost a century old and has inspired several approaches to quantum gravity. In fact, a minimum Planckian length can be shown to emerge from the nonlinear dynamics of gravity in the effective field theory approach to gravitational scatterings at Planckian energies. A simple quantum description of the gravitational collapse of a ball of dust supports the conclusion that such a length scale is indeed dynamical and matter inside black holes forms extended cores of macroscopic size. The geometry of these quantum black holes can be described by coherent states which cannot contain modes of arbitrarily short wavelength, compatibly with a matter core of finite size. Therefore, the classical central singularity is not realised, yet the expected general relativistic behaviour can be recovered in the weak-field region outside the horizon with good approximation. Deviations from classical general relativistic solutions are still present and form quantum hair which modify the thermodynamical description of black holes. These quantum black holes also avoid the presence of inner (Cauchy) horizons, since the effective energy density and pressures are integrable, as required by quantum physics, and not as regular as in classical physics.

show abstract

“…It is interesting to recall that a similar bound was also found for stable configurations of boson stars[54,65] 6. An alternative viewpoint is considered in Refs [33,31],.…”

mentioning

confidence: 54%

Section: General Relativistic Discrete Spectrummentioning

confidence: 99%

Section: Coherent State For the "Hairy" Geometrymentioning

confidence: 99%

See 1 more Smart Citation

Horizon quantum mechanics and the inner side of black holes

Casadio

Giusti

Giugno

et al. 2022

The Fifteenth Marcel Grossmann Meeting

View full text Add to dashboard Cite

show abstract

“…Classical configurations usually emerge in the quantum theory as coherent states. The use of coherent states in quantum field theory to describe static configurations is supported, for instance, by calculations in electrodynamics [12], in Newtonian physics [13] and for the de Sitter spacetime [14,15]. A general coherent state can be written in terms of Fock states as…”

Section: Quantum Schwarzschild Geometrymentioning

confidence: 99%

Quantum black holes and resolution of the singularity

Casadio

2022

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

show abstract

“…As we will see, this analogy is fruitful as it provides a bridge to the BRST symmetry of pure R 2 gravity. Recent work on the BRST invariance of other gravitational theories can be found in [13,14,16].…”

Section: Introductionmentioning

confidence: 99%

Enlarging the symmetry of pure $R^2$ gravity, BRST invariance and its spontaneous breaking

Edery¹

2023

Preprint

View full text Add to dashboard Cite

Pure R 2 gravity was considered originally to possess only global scale symmetry. It was later shown to have the larger restricted Weyl symmetry where it is invariant under the Weyl transformation g µν → Ω 2 (x) g µν when the conformal factor Ω(x) obeys the harmonic condition Ω(x) = 0. Restricted Weyl symmetry has an analog in gauge theory. Under a gauge transformation A µ → A µ + 1 e ∂ µ f (x), the gauge-fixing term (∂ µ A µ ) 2 has a residual gauge symmetry when f = 0. In this paper, we consider scenarios where the symmetry of pure R 2 gravity can be enlarged even further. In one scenario, we add a massless scalar field to the pure R 2 gravity action and show that the action becomes on-shell Weyl invariant when the equations of motion are obeyed. We then enlarge the symmetry to a BRST symmetry where no on-shell or restricted Weyl condition is required. The BRST transformations here are not associated with gauge transformations (such as diffeomorphisms) but with Weyl (local scale) transformations where the conformal factor consists of a product of Grassmann variables. BRST invariance in this context is a generalization of Weyl invariance that is valid in the presence of the Weyl-breaking R 2 term. In contrast to the BRST invariance of gauge theories like QCD, it is not preserved after quantization since renormalization introduces a scale (leading to the well-known Weyl (conformal) anomaly). We show that the spontaneous breaking of the BRST symmetry yields an Einstein action; this still has a symmetry which is also anomalous. This is in accord with previous work that shows that there is conformal anomaly matching between the unbroken and broken phases when conformal symmetry is spontaneously broken.

show abstract

De Sitter space as BRST invariant coherent state of gravitons

Cited by 3 publications

References 30 publications

Horizon quantum mechanics and the inner side of black holes

Horizon quantum mechanics and the inner side of black holes

Quantum black holes and resolution of the singularity

Enlarging the symmetry of pure $R^2$ gravity, BRST invariance and its spontaneous breaking

Contact Info

Product

Resources

About