On the renormalization of the Gibbons-Hawking boundary term

Jacobson, Ted; Satz, Alejandro

doi:10.1103/physrevd.89.064034

Cited by 22 publications

(38 citation statements)

References 40 publications

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“…To our knowledge, no literature has mentioned this kind of treatment regarding a gauge field action in curved spacetime with boundary. (See, for example, [29], [30] for different approaches. )…”

Section: Gauge Fields In Curved Spacetime With Boundary Revisitedmentioning

confidence: 99%

Central charge and entangled gauge fields

Huang

2015

Phys. Rev. D

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Entanglement entropy of gauge fields is calculated using the partition function in curved spacetime with boundary. Deriving a Gibbons-Hawking like term from a BRST action produces a Wald entropy like codimension-2 surface term. It is further suggested that boundary degrees of freedom localized on the entanglement surface generated from the gauge redundancy could be used to resolve a subtle mismatch in a universal conformal anomaly-entanglement entropy relation. Introduction:In spite of being perhaps the weirdest consequence from quantum mechanics [1], the concept of entanglement plays an important role in many areas of physics: A key ingredient in quantum information, an order parameter in the phase transition in many-body systems [2], a measure of renormalization group flow in quantum field theories [3]. The entanglement entropy is also suggested as the origin of the black hole entropy [4], [5]. Decomposing the full Hilbert space into pieces A and its complement B,

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Section: Gauge Fields In Curved Spacetime With Boundary Revisitedmentioning

confidence: 99%

Central charge and entangled gauge fields

Huang

2015

Phys. Rev. D

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“…We would have to add matter fields to the truncation ansatz [82][83][84][85] and include for all types of fields the corresponding (Gibbons-Hawking, etc.) surface terms that are needed on spacetimes with a non-empty boundary [50,86].…”

Section: Jhep03(2015)065mentioning

confidence: 99%

Towards a C-function in 4D quantum gravity

Becker

Reuter

2015

J. High Energ. Phys.

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We develop a generally applicable method for constructing functions, C , which have properties similar to Zamolodchikov's C-function, and are geometrically natural objects related to the theory space explored by non-perturbative functional renormalization group (RG) equations. Employing the Euclidean framework of the Effective Average Action (EAA), we propose a C -function which can be defined for arbitrary systems of gravitational, Yang-Mills, ghost, and bosonic matter fields, and in any number of spacetime dimensions. It becomes stationary both at critical points and in classical regimes, and decreases monotonically along RG trajectories provided the breaking of the split-symmetry which relates background and quantum fields is sufficiently weak. Within the Asymptotic Safety approach we test the proposal for Quantum Einstein Gravity in d > 2 dimensions, performing detailed numerical investigations in d = 4. We find that the bi-metric EinsteinHilbert truncation of theory space introduced recently is general enough to yield perfect monotonicity along the RG trajectories, while its more familiar single-metric analog fails to achieve this behavior which we expect on general grounds. Investigating generalized crossover trajectories connecting a fixed point in the ultraviolet to a classical regime with positive cosmological constant in the infrared, the C -function is shown to depend on the choice of the gravitational instanton which constitutes the background spacetime. For de Sitter space in 4 dimensions, the Bekenstein-Hawking entropy is found to play a role analogous to the central charge in conformal field theory. We also comment on the idea of a 'Λ-N connection' and the 'N -bound' discussed earlier.

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“…The fact that the physical states are associated with the hypersurface in the boundary region brings along the issue of boundary conditions: for quantization and various quantum-level analyses, a systematic analysis of the boundary conditions is highly desirable. Earlier works and reviews can be found, e.g., in [25][26][27][28][29][30][31]. As we will see, non-Dirichlet boundary conditions, in particular Neumann-type boundary conditions, will play an important role in the complete quantum description of the system.…”

Section: Introductionmentioning

confidence: 85%

“…The analysis is not only meaningful in its own right but should also precede certain quantum-level manipulations such as partial integrations performed on the quantum-level action. There exists extensive literature on symmetry-preserving boundary con-ditions, see, e.g, [25][26][27][28][29][30][31] and refs therein. The issue of the gauge invariant boundary terms turns out to be highly nontrivial although it is possible to come up with such boundary terms and carry out more rigorous analysis in certain cases.…”

Section: Boundary Conditions and Dynamicsmentioning

confidence: 99%

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics

Park

2019

Universe

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The recently proposed Holography-inspired approach to quantum gravity is reviewed and expanded. The approach is based on the foliation of the background spacetime and reduction of the offshell states to the physical states. Careful attention is paid to the boundary conditions. It is noted that the outstanding problems such as the cosmological constant problem and black hole information can be tackled from the common thread of the quantized gravity. One-loop renormalization of the coupling constants and the beta function analysis are illustrated. Active galactic nuclei and gravitational waves are discussed as the potential applications of the present quantization scheme to astrophysics. 4 Although the present scheme of the "holographic quantization" may sound similar to the well-known idea of holographic renormalization [42], the two ideas are not directly related. While in the holographic renormalization one usually studies the renormalization of the composite operators of the boundary theory (assisted by the classical bulk theory), the focus of the present holographic quantization is the renormalizability and renormalization of the bulk theory.

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On the renormalization of the Gibbons-Hawking boundary term

Cited by 22 publications

References 40 publications

Central charge and entangled gauge fields

Central charge and entangled gauge fields

Towards a C-function in 4D quantum gravity

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics

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