BRST-invariant boundary conditions and strong ellipticity

Moss, Ian G.

doi:10.1103/physrevd.88.104039

Cited by 8 publications

(17 citation statements)

References 36 publications

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“…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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Section: Boundary Conditions and Dynamicsmentioning

confidence: 99%

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics

Park

2019

Universe

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“…(23) Here S should be set to zero for Dirichlet boundary conditions and to ξ/α for Robin boundary conditions of the form (22). It is then clear that the balance between the bulk and the boundary terms of the gravitational effective action can be preserved only if the boundary condition is Robin with the value S = −ξ, corresponding to the special value α = −1…”

Section: Scalar Fieldmentioning

confidence: 99%

“…in Refs. [16,20,21,22]. The boundary conditions must be gauge invariant in the same sense as discussed above for the Maxwell field.…”

Section: Graviton Fieldmentioning

confidence: 99%

On the renormalization of the Gibbons-Hawking boundary term

Jacobson

Satz

2014

Phys. Rev. D

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The bulk (Einstein-Hilbert) and boundary (Gibbons-Hawking) terms in the gravitational action are generally renormalized differently when integrating out quantum fluctuations. The former is affected by nonminimal couplings, while the latter is affected by boundary conditions. We use the heat kernel method to analyze this behavior for a nonminimally coupled scalar field, the Maxwell field, and the graviton field. Allowing for Robin boundary conditions, we examine in which cases the renormalization preserves the ratio of boundary and bulk terms required for the effective action to possess a stationary point. The implications for field theory and black hole entropy computations are discussed.Comment: 23 pages; v2: some references to previous work added, minor typos correcte

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“…We have to be more careful and impose appropriate boundary conditions on all the fields on which the action depends. These conditions have to reflect the BRST invariance of the theory [20][21] [22]. The choice of the right boundary conditions is of great importance both from the classical and the quantum point of view.…”

Section: Brst and Boundary Conditionsmentioning

confidence: 99%

The Gribov phenomenon in flat and curved spaces

Cesare¹

2014

Int. J. Geom. Methods Mod. Phys.

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The quantization of Yang-Mills theories relies on the gauge-fixing procedure. However, in the non-Abelian case this procedure leads to the well known Gribov ambiguity. In order to solve the ambiguity a modification of the functional integral formula must be introduced. As a consequence of this, the Green functions get deep modifications in the infrared. We consider in particular the SU (N ) case and show that in the pure gauge case the ghost propagator is enhanced, while the gluon propagator is suppressed in this limit, therefore the study of the Gribov ambiguity may shed some light on the mass gap problem and on colour confinement. We discuss some recent developments on the subject in the case of a curved background. We argue that the concurrent presence of a spacetime curvature and the Gribov ambiguity may introduce further modifications to the Green functions in the infrared. Conclusions 82A Elliptic operators 83

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BRST-invariant boundary conditions and strong ellipticity

Cited by 8 publications

References 36 publications

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics

On the renormalization of the Gibbons-Hawking boundary term

The Gribov phenomenon in flat and curved spaces

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