JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 11/2019, Volume 52, Issue 47, p. 474002

Making use of known facts about 'tensor models', it is possible to construct a quantum system without quenched disorder that has the same large n limit for its...

1/N expansion | COLORED TENSOR-MODELS | PHYSICS, MULTIDISCIPLINARY | Feynman diagrams | PHYSICS, MATHEMATICAL | tensor models | GRAVITY

1/N expansion | COLORED TENSOR-MODELS | PHYSICS, MULTIDISCIPLINARY | Feynman diagrams | PHYSICS, MATHEMATICAL | tensor models | GRAVITY

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 05/2017, Volume 318, pp. 803 - 825

The hydrodynamic Q-tensor model has been used for studying flows of liquid crystals and liquid crystal polymers. It can be derived from a variational approach...

Energy quadratization | Unconditional energy stability | Second order | Hydrodynamics | [formula omitted]-tensor model | Linear | Q-tensor model | APPROXIMATIONS | STABILITY | EQUATIONS | TIME | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | NAVIER-STOKES | FLOWS | IRREVERSIBLE-PROCESSES | RECIPROCAL RELATIONS | PHASE-FIELD MODEL | Polymer liquid crystals | Models | Analysis | Questions and answers

Energy quadratization | Unconditional energy stability | Second order | Hydrodynamics | [formula omitted]-tensor model | Linear | Q-tensor model | APPROXIMATIONS | STABILITY | EQUATIONS | TIME | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | NAVIER-STOKES | FLOWS | IRREVERSIBLE-PROCESSES | RECIPROCAL RELATIONS | PHASE-FIELD MODEL | Polymer liquid crystals | Models | Analysis | Questions and answers

Journal Article

New Journal of Physics, ISSN 1367-2630, 02/2015, Volume 17, Issue 2, pp. 23042 - 46

Group field theories represent a second quantized reformulation of the loop quantum gravity state space and a completion of the spin foam formalism. States of...

group field theory | quantum gravity | tensor model techniques | COLORED TENSOR-MODELS | PHYSICS, MULTIDISCIPLINARY | VERTEX | BUBBLE DIVERGENCES | RENORMALIZATION | Graphs | Tensors | Field theory | Formalism | Combinatorial analysis | Quantum gravity | Foams | Mathematical analysis | Mathematical models

group field theory | quantum gravity | tensor model techniques | COLORED TENSOR-MODELS | PHYSICS, MULTIDISCIPLINARY | VERTEX | BUBBLE DIVERGENCES | RENORMALIZATION | Graphs | Tensors | Field theory | Formalism | Combinatorial analysis | Quantum gravity | Foams | Mathematical analysis | Mathematical models

Journal Article

Optical Engineering, ISSN 0091-3286, 10/2019, Volume 58, Issue 10, pp. 106108 - 106108

For channel estimation in the relay-assisted multiple-input multiple-output and orthogonal frequency division multiplexing indoor visible light communication...

indoor visible light communication system | pilot design | DECOMPOSITIONS | PARATUCK2-PARAFAC tensor model | relay assisted | OPTICS | noise compensation

indoor visible light communication system | pilot design | DECOMPOSITIONS | PARATUCK2-PARAFAC tensor model | relay assisted | OPTICS | noise compensation

Journal Article

Physics Letters B, ISSN 0370-2693, 05/2012, Volume 711, Issue 1, pp. 88 - 96

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large...

Random tensor models | [formula omitted] expansion | Critical behavior | 1/N expansion | COLORED TENSOR-MODELS | FIELD-THEORIES | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PLANAR | 2D GRAVITY | PHYSICS, PARTICLES & FIELDS | Tensors | Mathematical analysis | Particle spin | Lattices | Continuums | Elementary particles | Ising model | Mathematical models | High Energy Physics - Theory | Physics

Random tensor models | [formula omitted] expansion | Critical behavior | 1/N expansion | COLORED TENSOR-MODELS | FIELD-THEORIES | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PLANAR | 2D GRAVITY | PHYSICS, PARTICLES & FIELDS | Tensors | Mathematical analysis | Particle spin | Lattices | Continuums | Elementary particles | Ising model | Mathematical models | High Energy Physics - Theory | Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2017, Volume 2017, Issue 10, p. 1

We study correlation functions in the one-dimensional N = 2 supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing...

AdS-CFT Correspondence | Field Theories in Lower Dimensions | 1/N Expansion | Extended Supersymmetry | COMPLETE 1/N EXPANSION | COLORED TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Supersymmetry | Chaos theory | Correlation analysis | Ladder diagrams | Correlators | Mathematical models | Eigenvectors

AdS-CFT Correspondence | Field Theories in Lower Dimensions | 1/N Expansion | Extended Supersymmetry | COMPLETE 1/N EXPANSION | COLORED TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Supersymmetry | Chaos theory | Correlation analysis | Ladder diagrams | Correlators | Mathematical models | Eigenvectors

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 08/2016, Volume 49, Issue 38

In this paper, we use the exact renormalisation in the context of tensor models and group field theories. As a byproduct, we rederive Gaussian universality for...

renormalization group | quantum gravity | tensor models | group field theories | DIMENSIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL

renormalization group | quantum gravity | tensor models | group field theories | DIMENSIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2018, Volume 2018, Issue 12

We study a 2-dimensional SYK-like model with N= supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets with a (q + 1)- field...

Conformal Field Theory | 1/N Expansion | Extended Supersymmetry | Higher Spin Symmetry | COMPLETE 1/N EXPANSION | LIMIT | TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS

Conformal Field Theory | 1/N Expansion | Extended Supersymmetry | Higher Spin Symmetry | COMPLETE 1/N EXPANSION | LIMIT | TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS

Journal Article

IEEE Transactions on Image Processing, ISSN 1057-7149, 10/2018, Volume 27, Issue 10, pp. 4756 - 4770

3D face reconstruction from a single image is a classical and challenging problem with wide applications in many areas. Inspired by recent works in face...

Solid modeling | Three-dimensional displays | shape-from-shading | Shape | Computational modeling | Two dimensional displays | 3D face reconstruction | Tensor model | Face | Image reconstruction | DATABASE | SYMMETRIC SHAPE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer Science - Computer Vision and Pattern Recognition

Solid modeling | Three-dimensional displays | shape-from-shading | Shape | Computational modeling | Two dimensional displays | 3D face reconstruction | Tensor model | Face | Image reconstruction | DATABASE | SYMMETRIC SHAPE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer Science - Computer Vision and Pattern Recognition

Journal Article

Brain, ISSN 0006-8950, 12/2011, Volume 134, Issue 12, pp. 3587 - 3598

Multiple sclerosis is characterized by inflammatory demyelination and irreversible axonal injury leading to permanent neurological disabilities. Diffusion...

diffusion tensor imaging | magnetic resonance imaging | multiple tensor model | inflammation | white matter injury | APPARENT DIFFUSION | MULTIEXPONENTIAL DECAY DATA | NATURAL-HISTORY | NEUROSCIENCES | CLINICAL NEUROLOGY | MULTIPLE-SCLEROSIS | WHITE-MATTER PATHOLOGY | CORPUS-CALLOSUM | DIFFUSION MRI | MAGNETIC-RESONANCE | UNIFORM-PENALTY INVERSION | CUPRIZONE-INDUCED DEMYELINATION | Inflammation - pathology | Myelin Sheath - pathology | Trigeminal Nerve - pathology | Male | Diffusion Tensor Imaging | Magnetic Resonance Imaging | Animals | Cuprizone | Nerve Fibers, Myelinated - pathology | Corpus Callosum - pathology | Demyelinating Diseases - chemically induced | Mice | Demyelinating Diseases - pathology | Original

diffusion tensor imaging | magnetic resonance imaging | multiple tensor model | inflammation | white matter injury | APPARENT DIFFUSION | MULTIEXPONENTIAL DECAY DATA | NATURAL-HISTORY | NEUROSCIENCES | CLINICAL NEUROLOGY | MULTIPLE-SCLEROSIS | WHITE-MATTER PATHOLOGY | CORPUS-CALLOSUM | DIFFUSION MRI | MAGNETIC-RESONANCE | UNIFORM-PENALTY INVERSION | CUPRIZONE-INDUCED DEMYELINATION | Inflammation - pathology | Myelin Sheath - pathology | Trigeminal Nerve - pathology | Male | Diffusion Tensor Imaging | Magnetic Resonance Imaging | Animals | Cuprizone | Nerve Fibers, Myelinated - pathology | Corpus Callosum - pathology | Demyelinating Diseases - chemically induced | Mice | Demyelinating Diseases - pathology | Original

Journal Article

Living Reviews in Relativity, ISSN 2367-3613, 2013, Volume 16, Issue 1, p. 3

This article reviews the present status of the spin-foam approach to the quantization of gravity. Special attention is payed to the pedagogical presentation of...

PONZANO-REGGE MODEL | LOOP SPACE REPRESENTATION | COLORED TENSOR-MODELS | LATTICE GAUGE-THEORY | DIFFEOMORPHISM SYMMETRY | GENERAL-RELATIVITY | FIELD-THEORY | BUBBLE DIVERGENCES | HAMILTONIAN CONSTRAINT | COHERENT STATES GCS | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | High Energy Physics - Theory | Physics | Review | Quantum gravity

PONZANO-REGGE MODEL | LOOP SPACE REPRESENTATION | COLORED TENSOR-MODELS | LATTICE GAUGE-THEORY | DIFFEOMORPHISM SYMMETRY | GENERAL-RELATIVITY | FIELD-THEORY | BUBBLE DIVERGENCES | HAMILTONIAN CONSTRAINT | COHERENT STATES GCS | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | High Energy Physics - Theory | Physics | Review | Quantum gravity

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2011, Volume 853, Issue 1, pp. 174 - 195

Colored tensor models have been recently shown to admit a large N expansion, whose leading order encodes a sum over a class of colored triangulations of the...

Random tensor models | [formula omitted] expansion | 1/N expansion | FIELD-THEORY | GRAVITY | PHYSICS, PARTICLES & FIELDS | Animal behavior | Analysis | Models | General Relativity and Quantum Cosmology | Condensed Matter | Statistical Mechanics | High Energy Physics - Theory | Physics

Random tensor models | [formula omitted] expansion | 1/N expansion | FIELD-THEORY | GRAVITY | PHYSICS, PARTICLES & FIELDS | Animal behavior | Analysis | Models | General Relativity and Quantum Cosmology | Condensed Matter | Statistical Mechanics | High Energy Physics - Theory | Physics

Journal Article

Physics Letters B, ISSN 0370-2693, 09/2018, Volume 784, pp. 342 - 344

The recently discovered general formulas for perturbative correlators in basic matrix models can be interpreted as the Schur-preservation property of Gaussian...

POLYNOMIALS | SYMMETRY | ASTRONOMY & ASTROPHYSICS | REPRESENTATION | PHYSICS, NUCLEAR | TENSOR-MODELS | GRAVITY | PHYSICS, PARTICLES & FIELDS | Analysis | Information management | Subatomic Physics | Mathematical Physics | SubatomÃ¤r fysik | Mathematics | High Energy Physics - Theory | Physics | Representation Theory | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

POLYNOMIALS | SYMMETRY | ASTRONOMY & ASTROPHYSICS | REPRESENTATION | PHYSICS, NUCLEAR | TENSOR-MODELS | GRAVITY | PHYSICS, PARTICLES & FIELDS | Analysis | Information management | Subatomic Physics | Mathematical Physics | SubatomÃ¤r fysik | Mathematics | High Energy Physics - Theory | Physics | Representation Theory | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2012, Volume 8, p. 020

Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry...

1/N expansion | Colored tensor models | colored tensor models | BETA-FUNCTION | FIELD-THEORY | FEYNMAN DIAGRAMS | PHASE-TRANSITION | SIMPLICIAL QUANTUM-GRAVITY | ISING-MODEL | MATRIX MODELS | PHYSICS, MATHEMATICAL | 2D GRAVITY | RENORMALIZATION

1/N expansion | Colored tensor models | colored tensor models | BETA-FUNCTION | FIELD-THEORY | FEYNMAN DIAGRAMS | PHASE-TRANSITION | SIMPLICIAL QUANTUM-GRAVITY | ISING-MODEL | MATRIX MODELS | PHYSICS, MATHEMATICAL | 2D GRAVITY | RENORMALIZATION

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2017, Volume 2017, Issue 5, pp. 1 - 33

We consider the relation between SYK-like models and vector models by studying a toy model where a tensor field is coupled with a vector field. By integrating...

Field Theories in Lower Dimensions | 1/N Expansion | Higher Spin Symmetry | COMPLETE 1/N EXPANSION | COLORED TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS | Perturbation methods | Automobiles | Lasers | Phase transitions | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Condensed Matter - Strongly Correlated Electrons | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Field Theories in Lower Dimensions | 1/N Expansion | Higher Spin Symmetry | COMPLETE 1/N EXPANSION | COLORED TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS | Perturbation methods | Automobiles | Lasers | Phase transitions | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Condensed Matter - Strongly Correlated Electrons | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2018, Volume 2018, Issue 1, pp. 1 - 40

We contrast some aspects of various SYK-like models with large-N melonic behavior. First, we note that ungauged tensor models can exhibit symmetry breaking,...

Random Systems | Anomalies in Field and String Theories | Field Theories in Lower Dimensions | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COLORED TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS | Broken symmetry | Quantum gravity | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Random Systems | Anomalies in Field and String Theories | Field Theories in Lower Dimensions | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COLORED TENSOR-MODELS | PHYSICS, PARTICLES & FIELDS | Broken symmetry | Quantum gravity | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Journal Article