- #736
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New paper by Ambjorn, Goerlich, Jurkiewicz, and Loll
http://arxiv.org/abs/0807.4481
The Nonperturbative Quantum de Sitter Universe
J. Ambjorn, A. Goerlich, J. Jurkiewicz, R. Loll
37 pages, many figures
(Submitted on 28 Jul 2008)
"The dynamical generation of a four-dimensional classical universe from nothing but fundamental quantum excitations at the Planck scale is a long-standing challenge to theoretical physicists. A candidate theory of quantum gravity which achieves this goal without invoking exotic ingredients or excessive fine-tuning is based on the nonperturbative and background-independent technique of Causal Dynamical Triangulations. We demonstrate in detail how in this approach a macroscopic de Sitter universe, accompanied by small quantum fluctuations, emerges from the full gravitational path integral, and how the effective action determining its dynamics can be reconstructed uniquely from Monte Carlo data. We also provide evidence that it may be possible to penetrate to the sub-Planckian regime, where the Planck length is large compared to the lattice spacing of the underlying regularization of geometry." http://arxiv.org/abs/0807.4192
Black Hole Entropy and the Problem of Universality
Steven Carlip
14 pages, Springer macros; to appear in 'Quantum Mechanics of Fundamental Systems: the Quest for Beauty and Simplicity' (Claudio Bunster Festschrift)
(Submitted on 25 Jul 2008)
"To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such 'horizon constraints' allows the use of conformal field theory methods to compute the density of states, reproducing the correct Bekenstein-Hawking entropy in a nearly model-independent manner. This approach may explain the 'universality' of black hole entropy, the fact that many inequivalent descriptions of quantum states all seem to give the same thermodynamic predictions. It also suggests an elegant picture of the relevant degrees of freedom, as Goldstone-boson-like excitations arising from symmetry breaking by a conformal anomaly induced by the horizon constraints.
Claudio Bunster, who is being celebrated by this collection of papers, used to be Claudio Teitelboim---a safer name to have in Chile during the Pinochet years. The name Bunster which he has now adopted was associated with opposition to military dictatorship. To find Bunster's research writings, search under his previous name.
http://arxiv.org/abs/0807.4152
The Constraint Algebra of Topologically Massive AdS Gravity
Steven Carlip
17 pages
(Submitted on 25 Jul 2008)
"Three-dimensional topologically massive AdS gravity has a complicated constraint algebra, making it difficult to count nonperturbative degrees of freedom. I show that a new choice of variables greatly simplifies this algebra, and confirm that the theory contains a single propagating mode for all values of the mass parameter and the cosmological constant. As an added benefit, I rederive the central charges and conformal weights of the boundary conformal field theory from an explicit analysis of the asymptotic algebra of constraints."
http://arxiv.org/abs/0807.4520
Black Hole Thermodynamics and Statistical Mechanics
Steven Carlip
35 pages, Springer macros; for the Proceedings of the 4th Aegean Summer School on Black Holes
(Submitted on 28 Jul 2008)
"We have known for more than thirty years that black holes behave as thermodynamic systems, radiating as black bodies with characteristic temperatures and entropies. This behavior is not only interesting in its own right; it could also, through a statistical mechanical description, cast light on some of the deep problems of quantizing gravity. In these lectures, I review what we currently know about black hole thermodynamics and statistical mechanics, suggest a rather speculative 'universal' characterization of the underlying states, and describe some key open questions."
http://arxiv.org/abs/0807.4468
The cosmological BCS mechanism and the Big Bang Singularity
Stephon Alexander, Tirthabir Biswas
11 pages, 1 figure
(Submitted on 28 Jul 2008)
"We provide a novel mechanism that resolves the Big Bang Singularity present in FRW space-times without the need for ghost fields. Building on the fact that a four-fermion interaction arises in General Relativity when fermions are covariantly coupled, we show that at early times the decrease in scale factor enhances the correlation between pairs of fermions. This enhancement leads to a BCS-like condensation of the fermions and opens a gap dynamically driving the Hubble parameter to zero and results in a non-singular bounce. We derive the four fermion interaction and the effective potential for the gap, demonstrating a consistency condition necessary for the non-singular bounce."
http://arxiv.org/abs/0807.4481
The Nonperturbative Quantum de Sitter Universe
J. Ambjorn, A. Goerlich, J. Jurkiewicz, R. Loll
37 pages, many figures
(Submitted on 28 Jul 2008)
"The dynamical generation of a four-dimensional classical universe from nothing but fundamental quantum excitations at the Planck scale is a long-standing challenge to theoretical physicists. A candidate theory of quantum gravity which achieves this goal without invoking exotic ingredients or excessive fine-tuning is based on the nonperturbative and background-independent technique of Causal Dynamical Triangulations. We demonstrate in detail how in this approach a macroscopic de Sitter universe, accompanied by small quantum fluctuations, emerges from the full gravitational path integral, and how the effective action determining its dynamics can be reconstructed uniquely from Monte Carlo data. We also provide evidence that it may be possible to penetrate to the sub-Planckian regime, where the Planck length is large compared to the lattice spacing of the underlying regularization of geometry." http://arxiv.org/abs/0807.4192
Black Hole Entropy and the Problem of Universality
Steven Carlip
14 pages, Springer macros; to appear in 'Quantum Mechanics of Fundamental Systems: the Quest for Beauty and Simplicity' (Claudio Bunster Festschrift)
(Submitted on 25 Jul 2008)
"To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such 'horizon constraints' allows the use of conformal field theory methods to compute the density of states, reproducing the correct Bekenstein-Hawking entropy in a nearly model-independent manner. This approach may explain the 'universality' of black hole entropy, the fact that many inequivalent descriptions of quantum states all seem to give the same thermodynamic predictions. It also suggests an elegant picture of the relevant degrees of freedom, as Goldstone-boson-like excitations arising from symmetry breaking by a conformal anomaly induced by the horizon constraints.
Claudio Bunster, who is being celebrated by this collection of papers, used to be Claudio Teitelboim---a safer name to have in Chile during the Pinochet years. The name Bunster which he has now adopted was associated with opposition to military dictatorship. To find Bunster's research writings, search under his previous name.
http://arxiv.org/abs/0807.4152
The Constraint Algebra of Topologically Massive AdS Gravity
Steven Carlip
17 pages
(Submitted on 25 Jul 2008)
"Three-dimensional topologically massive AdS gravity has a complicated constraint algebra, making it difficult to count nonperturbative degrees of freedom. I show that a new choice of variables greatly simplifies this algebra, and confirm that the theory contains a single propagating mode for all values of the mass parameter and the cosmological constant. As an added benefit, I rederive the central charges and conformal weights of the boundary conformal field theory from an explicit analysis of the asymptotic algebra of constraints."
http://arxiv.org/abs/0807.4520
Black Hole Thermodynamics and Statistical Mechanics
Steven Carlip
35 pages, Springer macros; for the Proceedings of the 4th Aegean Summer School on Black Holes
(Submitted on 28 Jul 2008)
"We have known for more than thirty years that black holes behave as thermodynamic systems, radiating as black bodies with characteristic temperatures and entropies. This behavior is not only interesting in its own right; it could also, through a statistical mechanical description, cast light on some of the deep problems of quantizing gravity. In these lectures, I review what we currently know about black hole thermodynamics and statistical mechanics, suggest a rather speculative 'universal' characterization of the underlying states, and describe some key open questions."
http://arxiv.org/abs/0807.4468
The cosmological BCS mechanism and the Big Bang Singularity
Stephon Alexander, Tirthabir Biswas
11 pages, 1 figure
(Submitted on 28 Jul 2008)
"We provide a novel mechanism that resolves the Big Bang Singularity present in FRW space-times without the need for ghost fields. Building on the fact that a four-fermion interaction arises in General Relativity when fermions are covariantly coupled, we show that at early times the decrease in scale factor enhances the correlation between pairs of fermions. This enhancement leads to a BCS-like condensation of the fermions and opens a gap dynamically driving the Hubble parameter to zero and results in a non-singular bounce. We derive the four fermion interaction and the effective potential for the gap, demonstrating a consistency condition necessary for the non-singular bounce."
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