A 2D disordered O(N) sigma model at large N exhibits a low-temperature spin glass phase with finite Edwards-Anderson parameter and approximate scaling in the dynamical two-point function.
Colored Tensor Models - a Review
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the cutting edge in this rapidly expanding research field. Colored tensor models have been shown to share many of the properties of their direct ancestor, matrix models, which encode a theory of fluctuating two-dimensional surfaces. These features include the possession of Feynman graphs encoding topological spaces, a 1/N expansion of graph amplitudes, embedded matrix models inside the tensor structure, a resumable leading order with critical behavior and a continuum large volume limit, Schwinger-Dyson equations satisfying a Lie algebra (akin to the Virasoro algebra in two dimensions), non-trivial classical solutions and so on. In this review, we give a detailed introduction of colored tensor models and pointers to current and future research directions.
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New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.
Authors introduce simplicial-complex matrices and genetic mutation/crossover operations on them to algorithmically generate pseudomanifolds of varied topologies and compute simplex volumes and circumcenters.
Collective excitations analogous to phonons are derived in quantum gravity condensates within a group field theory model, yielding leading beyond-mean-field corrections to emergent Friedmann dynamics.
Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.
Reexamination of the SO(16)xSO(16)' nonsupersymmetric model for implications on dark energy, vacuum stabilization, dark matter candidates, and gauge-Higgs unification in light of LHC and dark energy data.
Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.
citing papers explorer
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The two-dimensional disordered $O(N)$ sigma model
A 2D disordered O(N) sigma model at large N exhibits a low-temperature spin glass phase with finite Edwards-Anderson parameter and approximate scaling in the dynamical two-point function.
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Additional constraints for the tensor bootstrap
New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.
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Mutation and crossover of simplicial complexes
Authors introduce simplicial-complex matrices and genetic mutation/crossover operations on them to algorithmically generate pseudomanifolds of varied topologies and compute simplex volumes and circumcenters.
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Collective excitations in quantum gravity condensates
Collective excitations analogous to phonons are derived in quantum gravity condensates within a group field theory model, yielding leading beyond-mean-field corrections to emergent Friedmann dynamics.
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Notes on Tensor Models and Tensor Field Theories
Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.
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Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era
Reexamination of the SO(16)xSO(16)' nonsupersymmetric model for implications on dark energy, vacuum stabilization, dark matter candidates, and gauge-Higgs unification in light of LHC and dark energy data.
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Asymptotically safe quantum gravity and its phenomenology -- a review
Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.