Quantum dilaton gravity in two dimensions with fermionic matter

Grumiller, Daniel; Meyer, René

doi:10.1088/0264-9381/23/22/021

Cited by 39 publications

(86 citation statements)

References 78 publications

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“…Though those simplified models do not capture the detailed physics of black hole those models contain the information loss paradox in a significant way [8,10,11]. Scattering of fermion was not studied only in connection with information loss, scattering of boson was also studied in [12,13,14] in the same context. The scattering of chiral fermion off dilaton black hole was not ignored too.…”

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confidence: 99%

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Does Chiral Fermion Coupled to a Background Dilaton Field Preserve Information?

Rahaman

2009

Mod. Phys. Lett. A

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confidence: 99%

“…The scattering of Dirac fermion itself is an interesting problem [6,7,8,9,12,13,14]. If Dirac fermions are replaced by the chiral fermion it makes the analysis more complex because the chiral fermions generate anomaly in the energy momentum sector when they couple to gravity [15].…”

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confidence: 99%

Does Chiral Fermion Coupled to a Background Dilaton Field Preserve Information?

Rahaman

2009

Mod. Phys. Lett. A

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“…If the matter extension yields additional second class constraints, as e.g. in the case of fermions, 48 the Poisson bracket should be replaced by a the Dirac bracket. The three constraints G I form a closed nonlinear algebra 20) with structure functions f K IJ .…”

Section: Exact Path Integral Quantizationmentioning

confidence: 99%

“…Nonetheless, it should be remembered that conformal invariance applies to the complete Lagrangian, here (1.69), including the (asymptotic) matter states. 48 q In these works a stretched horizon was imposed as a boundary, implemented by suitable boundary constraints. It was then found that these constraints break parts of the symmetry, which allowed to deduce the correct entropy by means of the Cardy formula.…”

Section: Two-dimensional Dilaton Gravity With Boundariesmentioning

confidence: 99%

Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity

Bergamin¹,

Meyer²

2009

Fundamental Interactions

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was well known for his passion for axial gauges and for the formulation of gravity in terms of Cartan variables. The combination of the two applied to two-dimensional dilaton gravity is the basis of the "Vienna School", which provided numerous significant results over the last seventeen years. In this review we trace the history of this success with particular emphasis on dilaton supergravity. We also present some previously unpublished results on the structure of non-local vertices in quantum dilaton supergravity with non-minimally coupled matter. Historical Introduction Early Attempts to Non-Einsteinian Gravity in 2DThe earliest works by Wolfgang Kummer connected to gravity in two dimensions 1-4 date back to the year 1991, where he realized together with Dominik Schwarz that the Katanaev-Volovich model,2) * Email: bergamin@tph.tuwien.ac.at † Email: meyer@mppmu.mpg.de a Here R abcd are the components of the curvature two-form written with tangent space indices only, T abc are the components of the torsion form, and µ, γ, λ are constants. In the second line, we expressed everything in terms of the Ricci scalar R = R µν µν and the Hodge dual of the torsion form, T a µν = ǫµν τ a .

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“…1, we work out the extensions of all dilaton models featuring in the up-to-date table of Ref. [20]. The fifth column shows the identifications that must be performed in order to relate the extended theories to their unextended counterparts, for the reference case in which η 0 3 = 1.…”

Section: Extended Modelmentioning

confidence: 99%

Extended 2D generalized dilaton gravity theories

Mello

2008

Class. Quantum Grav.

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Abstract.We show that an anomaly-free description of matter in (1+1) dimensions requires a deformation of the 2d relativity principle, which introduces a non-trivial center in the 2d Poincaré algebra. Then we work out the reduced phase-space of the anomaly-free 2d relativistic particle, in order to show that it lives in a noncommutative 2d Minkowski space. Moreover, we build a Gaussian wave packet to show that a Planck length is well-defined in two dimensions. In order to provide a gravitational interpretation for this noncommutativity, we propose to extend the usual 2d generalized dilaton gravity models by a specific Maxwell component, which gauges the extra symmetry associated with the center of the 2d Poincaré algebra. In addition, we show that this extension is a high energy correction to the unextended dilaton theories that can affect the topology of space-time. Further, we couple a test particle to the general extended dilaton models with the purpose of showing that they predict a noncommutativity in curved space-time, which is locally described by a Moyal star product in the low energy limit. We also conjecture a probable generalization of this result, which provides a strong evidence that the noncommutativity is described by a certain star product which is not of the Moyal type at high energies. Finally, we prove that the extended dilaton theories can be formulated as Poisson-Sigma models based on a nonlinear deformation of the extended Poincaré algebra.

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Quantum dilaton gravity in two dimensions with fermionic matter

Cited by 39 publications

References 78 publications

Does Chiral Fermion Coupled to a Background Dilaton Field Preserve Information?

Does Chiral Fermion Coupled to a Background Dilaton Field Preserve Information?

Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity

Extended 2D generalized dilaton gravity theories

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