Results 41 to 50 of about 3,508 (162)
Machine learning in phase transition analysis of lattice quantum gravity
Using numerical data coming from Monte Carlo simulations of four-dimensional Causal Dynamical Triangulations, we study how automated machine learning algorithms can be used to recognize transitions between different phases of quantum geometries observed ...
J. Ambjorn +5 more
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Using the matrix-forest theorem and the Parisi-Sourlas trick we formulate and solve a one-matrix model with non-polynomial potential which provides perturbation theory for massive spinless fermions on dynamical planar graphs. This is a lattice version of
Alexander Gorsky +3 more
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Isolated zeros destroy Fermi surface in holographic models with a lattice
We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the ...
Floris Balm +4 more
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Analog gravity and continuum effective theory of the graphene tight-binding lattice model
We consider the tight-binding model of graphene with slowly spatially varying hopping functions. We develop a low energy approximation as a derivative expansion in a Dirac spinor that is perturbative in the hopping function deformation. The leading description is the Dirac equation in flat 2+1-d spacetime with (strain-)gauge field.
Roberts, Matthew M., Wiseman, Toby
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TheU(1) lattice gauge theory universally connects all classical models with continuous variables, including background gravity [PDF]
Published version, 31 pages, 12 figures; references ...
Xu, Ying +4 more
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Coarse Graining Spin Foam Quantum Gravity—A Review
In quantum gravity, we envision renormalization as the key tool for bridging the gap between microscopic models and observable scales. For spin foam quantum gravity, which is defined on a discretization akin to lattice gauge theories, the goal is to ...
Sebastian Steinhaus
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Hausdorff dimension of fermions on a random lattice
Geometric properties of lattice quantum gravity in two dimensions are studied numerically via Monte Carlo on Euclidean Dynamical Triangulations. A new computational method is proposed to simulate gravity coupled with fermions, which allows the study of ...
Mattia Varrone, William E.V. Barker
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Fluid flow in the Earth's crust can be accurately described by a diffusion equation, with highly anisotropic, heterogeneous and time dependent diffusivities. The so‐called Bhatnagar‐Gross‐Krook (BGK) models provide a simple and efficient way to solve the scalar diffusion equation with complex boundary conditions.
B. Maillot, I. G. Main
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Zero modes and entanglement entropy
Ultraviolet divergences are widely discussed in studies of entanglement entropy. Also present, but much less understood, are infrared divergences due to zero modes in the field theory.
Yasaman K. Yazdi
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Holographic description of boundary gravitons in (3+1) dimensions
Gravity is uniquely situated in between classical topological field theories and standard local field theories. This can be seen in the quasi-local nature of gravitational observables, but is nowhere more apparent than in gravity’s holographic ...
Seth K. Asante +2 more
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