- #2,346
- 24,775
- 792
http://arxiv.org/abs/1509.05297
Ising Spin Network States for Loop Quantum Gravity: a Toy Model for Phase Transitions
Alexandre Feller, Etera R. Livine
(Submitted on 17 Sep 2015)
Non-perturbative approaches to quantum gravity call for a deep understanding of the emergence of geometry and locality from the quantum state of the gravitational field. Without background geometry, the notion of distance should entirely emerge from the correlations between the gravity fluctuations. In the context of loop quantum gravity, quantum states of geometry are defined as spin networks. These are graphs decorated with spin and intertwiners, which represent quantized excitations of areas and volumes of the space geometry. Here, we develop the condensed matter point of view on extracting the physical and geometrical information out of spin network states: we introduce new Ising spin network states, both in 2d on a square lattice and in 3d on a hexagonal lattice, whose correlations map onto the usual Ising model in statistical physics. We construct these states from the basic holonomy operators of loop gravity and derive a set of local Hamiltonian constraints which entirely characterize our states. We discuss their phase diagram and show how the distance can be reconstructed from the correlations in the various phases. Finally, we propose generalizations of these Ising states, which open the perspective to study the coarse graining and dynamics of spin network states using well-known condensed matter techniques and results.
17 pages
possibly of wider interest:
http://arxiv.org/abs/1509.04645
Non-Thermal Corrections to Hawking Radiation Versus the Information Paradox
Gia Dvali
(Submitted on 15 Sep 2015)
We provide a model-independent argument indicating that for a black hole of entropy N the non-thermal deviations from Hawking radiation, per each emission time, are of order 1/N, as opposed to exp(-N). This fact abolishes the standard a priori basis for the information paradox.
5 pages
http://arxiv.org/abs/1509.04282
Scalar Dark Matter: Direct vs. Indirect Detection
Michael Duerr, Pavel Fileviez Perez, Juri Smirnov
(Submitted on 14 Sep 2015)
We revisit the simplest model for dark matter. In this context the dark matter candidate is a real scalar field which interacts with the Standard Model particles through the Higgs portal. We discuss the relic density constraints as well as the predictions for direct and indirect detection. The final state radiation processes are investigated in order to understand the visibility of the gamma lines from dark matter annihilation. We find two regions where one could observe the gamma lines at gamma-ray telescopes. We point out that the region where the dark matter mass is between 100 and 300 GeV can be tested in the near future at direct and indirect detection experiments.
Comments: 27 pages, 13 figures
http://arxiv.org/abs/1509.04325
Anomalies of the Entanglement Entropy in Chiral Theories
Nabil Iqbal, Aron C. Wall
(Submitted on 14 Sep 2015)
We study entanglement entropy in theories with gravitational or mixed U(1) gauge-gravitational anomalies in two, four and six dimensions. In such theories there is an anomaly in the entanglement entropy: it depends on the choice of reference frame in which the theory is regulated. We discuss subtleties regarding regulators and entanglement entropies in anomalous theories. We then study the entanglement entropy of free chiral fermions and self-dual bosons and show that in sufficiently symmetric situations this entanglement anomaly comes from an imbalance in the flux of modes flowing through the boundary, controlled by familiar index theorems. In two and four dimensions we use anomalous Ward identities to find general expressions for the transformation of the entanglement entropy under a diffeomorphism. (In the case of a mixed anomaly there is an alternative presentation of the theory in which the entanglement entropy is not invariant under a U(1) gauge transformation. The free-field manifestation of this phenomenon involves a novel kind of fermion zero mode on a gravitational background with a twist in the normal bundle to the entangling surface.) We also study d-dimensional anomalous systems as the boundaries of d + 1 dimensional gapped Hall phases. Here the full system is non-anomalous, but the boundary anomaly manifests itself in a change in the entanglement entropy when the boundary metric is sheared relative to the bulk.
45 pages + appendices, 5 figures
http://arxiv.org/abs/1509.04497
General relativity and cosmology
Martin Bucher (APC, U. Paris 7/CNRS, Paris, France & University of KwaZulu-Natal, Durban, South Africa), Wei-Tou Ni (National Tsing Hua University, Hsinchu, Taiwan)
(Submitted on 15 Sep 2015)
15 pages, 4 figures, to appear as introductory chapter in "One Hundred Years of General Relativity: From Genesis and Empirical Foundations to Gravitational Waves, Cosmology and Quantum Gravity"
Ising Spin Network States for Loop Quantum Gravity: a Toy Model for Phase Transitions
Alexandre Feller, Etera R. Livine
(Submitted on 17 Sep 2015)
Non-perturbative approaches to quantum gravity call for a deep understanding of the emergence of geometry and locality from the quantum state of the gravitational field. Without background geometry, the notion of distance should entirely emerge from the correlations between the gravity fluctuations. In the context of loop quantum gravity, quantum states of geometry are defined as spin networks. These are graphs decorated with spin and intertwiners, which represent quantized excitations of areas and volumes of the space geometry. Here, we develop the condensed matter point of view on extracting the physical and geometrical information out of spin network states: we introduce new Ising spin network states, both in 2d on a square lattice and in 3d on a hexagonal lattice, whose correlations map onto the usual Ising model in statistical physics. We construct these states from the basic holonomy operators of loop gravity and derive a set of local Hamiltonian constraints which entirely characterize our states. We discuss their phase diagram and show how the distance can be reconstructed from the correlations in the various phases. Finally, we propose generalizations of these Ising states, which open the perspective to study the coarse graining and dynamics of spin network states using well-known condensed matter techniques and results.
17 pages
possibly of wider interest:
http://arxiv.org/abs/1509.04645
Non-Thermal Corrections to Hawking Radiation Versus the Information Paradox
Gia Dvali
(Submitted on 15 Sep 2015)
We provide a model-independent argument indicating that for a black hole of entropy N the non-thermal deviations from Hawking radiation, per each emission time, are of order 1/N, as opposed to exp(-N). This fact abolishes the standard a priori basis for the information paradox.
5 pages
http://arxiv.org/abs/1509.04282
Scalar Dark Matter: Direct vs. Indirect Detection
Michael Duerr, Pavel Fileviez Perez, Juri Smirnov
(Submitted on 14 Sep 2015)
We revisit the simplest model for dark matter. In this context the dark matter candidate is a real scalar field which interacts with the Standard Model particles through the Higgs portal. We discuss the relic density constraints as well as the predictions for direct and indirect detection. The final state radiation processes are investigated in order to understand the visibility of the gamma lines from dark matter annihilation. We find two regions where one could observe the gamma lines at gamma-ray telescopes. We point out that the region where the dark matter mass is between 100 and 300 GeV can be tested in the near future at direct and indirect detection experiments.
Comments: 27 pages, 13 figures
http://arxiv.org/abs/1509.04325
Anomalies of the Entanglement Entropy in Chiral Theories
Nabil Iqbal, Aron C. Wall
(Submitted on 14 Sep 2015)
We study entanglement entropy in theories with gravitational or mixed U(1) gauge-gravitational anomalies in two, four and six dimensions. In such theories there is an anomaly in the entanglement entropy: it depends on the choice of reference frame in which the theory is regulated. We discuss subtleties regarding regulators and entanglement entropies in anomalous theories. We then study the entanglement entropy of free chiral fermions and self-dual bosons and show that in sufficiently symmetric situations this entanglement anomaly comes from an imbalance in the flux of modes flowing through the boundary, controlled by familiar index theorems. In two and four dimensions we use anomalous Ward identities to find general expressions for the transformation of the entanglement entropy under a diffeomorphism. (In the case of a mixed anomaly there is an alternative presentation of the theory in which the entanglement entropy is not invariant under a U(1) gauge transformation. The free-field manifestation of this phenomenon involves a novel kind of fermion zero mode on a gravitational background with a twist in the normal bundle to the entangling surface.) We also study d-dimensional anomalous systems as the boundaries of d + 1 dimensional gapped Hall phases. Here the full system is non-anomalous, but the boundary anomaly manifests itself in a change in the entanglement entropy when the boundary metric is sheared relative to the bulk.
45 pages + appendices, 5 figures
http://arxiv.org/abs/1509.04497
General relativity and cosmology
Martin Bucher (APC, U. Paris 7/CNRS, Paris, France & University of KwaZulu-Natal, Durban, South Africa), Wei-Tou Ni (National Tsing Hua University, Hsinchu, Taiwan)
(Submitted on 15 Sep 2015)
15 pages, 4 figures, to appear as introductory chapter in "One Hundred Years of General Relativity: From Genesis and Empirical Foundations to Gravitational Waves, Cosmology and Quantum Gravity"
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