Gauge-invariant observables, gravitational dressings, and holography in AdS

Giddings, Steven B.; Kinsella, Alex

doi:10.1007/jhep11(2018)074

Cited by 39 publications

(68 citation statements)

References 41 publications

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“…This seems to imply that the algebra of operators outside U , and in particular the boundary algebra, does not contain observables that can distinguish these different states, and hence that the boundary algebra must not be complete. This conclusion is in tension with BU, and with what is known about bulk reconstruction in AdS/CFT, but there is is no contradiction: the splitting analysis was perturbative on one time slice, whereas the boundary time evolution that plays a role in BU and bulk reconstruction, or translation of bulk operators to the boundary [24], is nonperturbative.…”

Section: B Perturbative Nebulon?mentioning

confidence: 57%

“…We speak of dynamical correlation, and avoid the concept of "entanglement," because the latter refers to a state in a Hilbert space composed of two or more factors. In the setting of quantum gravity, however, a tensor factorization according to spatial localization is not available [22][23][24][25]. Moreover, the particles or field quanta referred to in the previous paragraph are not gauge invariant with respect to diffeomorphisms; and, if they are gravitationally dressed in order to become so, then they are no longer spatially localized.…”

Section: Boundary Information Paradoxmentioning

confidence: 99%

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Diffeomorphism invariance and the black hole information paradox

Jacobson

Nguyen

2019

Phys. Rev. D

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We argue that the resolution to the black hole information paradox lies in a proper accounting of the implications of diffeomorphism invariance for the Hilbert space and observables of quantum gravity. The setting of asymptotically Anti-de Sitter spacetime is adopted for most of the paper, but in the framework of canonical quantum gravity, without invoking AdS/CFT duality. We present Marolf's argument that boundary unitarity is a consequence of diffeomorphism invariance, and show that its failure to apply in the classical limit results from a lack of analyticity that has no quantum counterpart. We argue that boundary unitarity leads to a boundary information paradox, which generalizes the black hole information paradox and arises in virtually any scattering process. We propose a resolution that involves operators of the boundary algebra that redundantly encode information about physics in the bulk, and explain why such redundancy need not violate the algebraic no cloning theorem. We also argue that the infaller paradox, which has motivated the firewall hypothesis for black hole horizons, is ill-posed in quantum gravity, because it ignores essential aspects of the nature of the Hilbert space and observables in quantum gravity.

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Section: B Perturbative Nebulon?mentioning

confidence: 57%

Section: Boundary Information Paradoxmentioning

confidence: 99%

Diffeomorphism invariance and the black hole information paradox

Jacobson

Nguyen

2019

Phys. Rev. D

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“…To the extent that poles are particles, we appear to have generated a new light particle from ultraviolet dynamics. 6 The interpretation of the new pole can be sharpened by considering more carefully the criteria for renormalizability in Wilsonian EFT. In a Wilsonian picture, we upgrade our Lagrangian parameters to running parameters, and define our theory at the scale Λ as…”

Section: −γmentioning

confidence: 99%

“…As was noted in Section 2 and is now on prime display, the physics of the theory with nonperturbative θ-dependence is starkly different from that of any truncation. 6 Although there is no pole at finite Λ, a scale is still induced in the form of an infrared cutoff ∼ Λ 2 θ /Λ.…”

Section: −γmentioning

confidence: 99%

IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem

Craig

Koren

2020

J. High Energ. Phys.

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The persistence of the hierarchy problem points to a violation of effective field theory expectations. A compelling possibility is that this results from a physical breakdown of EFT, which may arise from correlations between ultraviolet (UV) and infrared (IR) physics. To this end, we study noncommutative field theory (NCFT) as a toy model of UV/IR mixing which generates an emergent infrared scale from ultraviolet dynamics. We explore the range of such theories where ultraviolet divergences are transmogrified into infrared scales, focusing particularly on the properties of Yukawa theory, where we identify a new infrared pole accessible in the s-channel of the Lorentzian theory. We further investigate the interplay between UV-finiteness and UV/IR mixing by studying properties of the softly-broken noncommutative Wess-Zumino model as soft terms are varied relative to the cutoff. While the Lorentz violation inherent to noncommutative theories may limit their direct application to the hierarchy problem, these toy models provide general lessons to guide the realization of UV/IR mixing in more realistic theories.

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“…And in fact, construction of dressed operators, corresponding to gauge invariant observables, either in EM [9] or in gravity [10] 2 strongly suggest that antipodal symmetry is not a general feature of field configurations. For example, a simple example of an operator dressed by a gravitational line arises from considering diffeomorphism-invariant operators associated to Fefferman-Graham gauge in AdS [13]. These operators create a gravitational field with field lines narrowly concentrated in a particular direction, and clearly violate antipodal symmetry.…”

Section: Introductionmentioning

confidence: 99%

Generalized asymptotics for gauge fields

Giddings

2019

J. High Energ. Phys.

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An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry has typically been assumed. However, the existence of electric and gravitational line operators, arising from gauge-invariant dressed observables, for example associated to axial or Fefferman-Graham like gauges, indicates the existence of non-antipodally symmetric initial data. This note studies aspects of the solutions corresponding to such non-symmetric initial data. The explicit evolution can be found, via a Green function, and bounds can be given on the asymptotic behavior of such solutions, evading arguments for singular behavior. Likewise, objections to such solutions based on infinite symplectic form are also avoided, although these solutions may be superselected. Soft charge conservation laws, and their modification, are briefly examined for such solutions. This discussion strengthens (though is not necessary for) arguments that soft charges characterize gauge field degrees of freedom, but not necessarily the degrees of freedom associated to the matter sourcing the field.

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Gauge-invariant observables, gravitational dressings, and holography in AdS

Cited by 39 publications

References 41 publications

Diffeomorphism invariance and the black hole information paradox

Diffeomorphism invariance and the black hole information paradox

IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem

Generalized asymptotics for gauge fields

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