Journal of High Energy Physics, ISSN 1029-8479, 10/2019, Volume 2019, Issue 10, pp. 1 - 21

The modern version of conformal matrix model (CMM) describes conformal blocks in the Dijkgraaf-Vafa phase. Therefore it possesses a determinant representation...

Integrable Hierarchies | Conformal Field Theory | Quantum Physics | Supersymmetric Gauge Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | INTEGRABILITY | LOOP EQUATIONS | FIELD-THEORIES | CALOGERO-SUTHERLAND MODEL | COEFFICIENTS | LESS | VIRASORO CONSTRAINTS | CONFORMAL BLOCKS | Supersym-metric Gauge Theory | PHYSICS, PARTICLES & FIELDS | Hypergeometric functions | Couplings | Fourier transforms | Difference equations | Differential equations | Mathematical models | Internal dimensions | Strings | Finite difference method

Integrable Hierarchies | Conformal Field Theory | Quantum Physics | Supersymmetric Gauge Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | INTEGRABILITY | LOOP EQUATIONS | FIELD-THEORIES | CALOGERO-SUTHERLAND MODEL | COEFFICIENTS | LESS | VIRASORO CONSTRAINTS | CONFORMAL BLOCKS | Supersym-metric Gauge Theory | PHYSICS, PARTICLES & FIELDS | Hypergeometric functions | Couplings | Fourier transforms | Difference equations | Differential equations | Mathematical models | Internal dimensions | Strings | Finite difference method

Journal Article

Progress in Particle and Nuclear Physics, ISSN 0146-6410, 03/2019, Volume 105, pp. 1 - 60

We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite...

Columbia plot | QCD phase diagram | Quark–gluon plasma | Critical end-point | Dyson–Schwinger equations | FREEZE-OUT CONDITIONS | LANDAU GAUGE | HIGH-DENSITY | OF-STATE | QUANTUM-FIELD THEORY | PHYSICS, NUCLEAR | INFRARED BEHAVIOR | Quark-gluon plasma | Dyson-Schwinger equations | CHIRAL-SYMMETRY-BREAKING | POLYAKOV LOOP | QUARK-MESON MODEL | PHASE-DIAGRAM | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Quarks

Columbia plot | QCD phase diagram | Quark–gluon plasma | Critical end-point | Dyson–Schwinger equations | FREEZE-OUT CONDITIONS | LANDAU GAUGE | HIGH-DENSITY | OF-STATE | QUANTUM-FIELD THEORY | PHYSICS, NUCLEAR | INFRARED BEHAVIOR | Quark-gluon plasma | Dyson-Schwinger equations | CHIRAL-SYMMETRY-BREAKING | POLYAKOV LOOP | QUARK-MESON MODEL | PHASE-DIAGRAM | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Quarks

Journal Article

3.
Full Text
POD-Galerkin method for finite volume approximation of Navier–Stokes and RANS equations

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 11/2016, Volume 311, pp. 151 - 179

Numerical simulation of fluid flows requires important computational efforts but it is essential in engineering applications. Reduced Order Model (ROM) can be...

Parametrized Navier–Stokes Equation | Proper orthogonal decomposition | Reduced order modelling | RANS | Galerkin projection | REPRESENTATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | EDDY-VISCOSITY | EVOLUTION | ENGINEERING, MULTIDISCIPLINARY | MODELS | CLOSED-LOOP CONTROL | DYNAMICS | Parametrized Navier-Stokes Equation | TURBULENCE | FLOWS | COHERENT STRUCTURES | Numerical analysis | Fluid dynamics | Analysis | Methods | Force and energy

Parametrized Navier–Stokes Equation | Proper orthogonal decomposition | Reduced order modelling | RANS | Galerkin projection | REPRESENTATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | EDDY-VISCOSITY | EVOLUTION | ENGINEERING, MULTIDISCIPLINARY | MODELS | CLOSED-LOOP CONTROL | DYNAMICS | Parametrized Navier-Stokes Equation | TURBULENCE | FLOWS | COHERENT STRUCTURES | Numerical analysis | Fluid dynamics | Analysis | Methods | Force and energy

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 8/2019, Volume 370, Issue 1, pp. 49 - 116

Makeenko and Migdal (Phys Lett B 88(1):135–137, 1979) gave heuristic identities involving the expectation of the product of two Wilson loop functionals...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | YANG-MILLS THEORY | LOOP AVERAGE

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | YANG-MILLS THEORY | LOOP AVERAGE

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2017, Volume 2017, Issue 6, pp. 1 - 23

We reformulate differential equations (DEs) for Feynman integrals to avoid doubled propagators in intermediate steps. External momentum derivatives are dressed...

Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIAGRAMS | FEYNMAN-INTEGRALS | EXPLICIT SOLUTIONS | FIELD-THEORY | PARTS | ONE-LOOP AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Differential equations | Reconstruction | Fences | Computation | Mathematical analysis | Integrals | Derivatives | Compatibility | Formulas (mathematics) | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Phenomenology | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIAGRAMS | FEYNMAN-INTEGRALS | EXPLICIT SOLUTIONS | FIELD-THEORY | PARTS | ONE-LOOP AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Differential equations | Reconstruction | Fences | Computation | Mathematical analysis | Integrals | Derivatives | Compatibility | Formulas (mathematics) | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Phenomenology | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Physical Review Letters, ISSN 0031-9007, 11/2015, Volume 115, Issue 19, p. 192301

We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory...

HYDROGEN | ENERGY | PI(-)D SCATTERING | ONE-LOOP | PHYSICS, MULTIDISCIPLINARY | LAGRANGIANS | LENGTHS | FORCES | N-SCATTERING | PRECISION CALCULATION | Low energy | Perturbation theory | Mathematical analysis | Scattering | Constants | Field theory | Counting | Convergence

HYDROGEN | ENERGY | PI(-)D SCATTERING | ONE-LOOP | PHYSICS, MULTIDISCIPLINARY | LAGRANGIANS | LENGTHS | FORCES | N-SCATTERING | PRECISION CALCULATION | Low energy | Perturbation theory | Mathematical analysis | Scattering | Constants | Field theory | Counting | Convergence

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2014, Volume 2014, Issue 7, pp. 1 - 27

A simplified differential equations approach for Master Integrals is presented. It allows to express them, straightforwardly, in terms of Goncharov...

NLO Computations | QCD Phenomenology | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | FEYNMAN-INTEGRALS | REDUCTION | BEHAVIOR | LOOP | NUMERICAL EVALUATION | AMPLITUDES | SECDEC | PHYSICS, PARTICLES & FIELDS | Differential equations | Physics - High Energy Physics - Phenomenology

NLO Computations | QCD Phenomenology | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | FEYNMAN-INTEGRALS | REDUCTION | BEHAVIOR | LOOP | NUMERICAL EVALUATION | AMPLITUDES | SECDEC | PHYSICS, PARTICLES & FIELDS | Differential equations | Physics - High Energy Physics - Phenomenology

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2018, Volume 2018, Issue 12, pp. 1 - 28

By considering a Gaussian truncation of N $$ \mathcal{N} $$ = 4 super Yang-Mills, we derive a set of Dyson equations that account for the ladder diagram...

Wilson, ’t Hooft and Polyakov loops | Supersymmetric Gauge Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | t Hooft and Polyakov loops | YANG-MILLS THEORY | Wilson | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Ladder diagrams | Correlators | Eigenvectors | Physics - High Energy Physics - Theory | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Wilson, ’t Hooft and Polyakov loops | Supersymmetric Gauge Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | t Hooft and Polyakov loops | YANG-MILLS THEORY | Wilson | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Ladder diagrams | Correlators | Eigenvectors | Physics - High Energy Physics - Theory | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2019, Volume 2019, Issue 1, pp. 1 - 32

We compute ϵ-factorized differential equations for all dimensionally-regularized integrals of the nonplanar hexa-box topology, which contribute for instance to...

Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EXPLICIT SOLUTIONS | PARTS | CANONICAL BASIS | ONE-LOOP AMPLITUDES | FEYNMAN | MASTER INTEGRALS | EPSILON | TOOL | PHYSICS, PARTICLES & FIELDS | Integrals | Differential equations | Topology

Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EXPLICIT SOLUTIONS | PARTS | CANONICAL BASIS | ONE-LOOP AMPLITUDES | FEYNMAN | MASTER INTEGRALS | EPSILON | TOOL | PHYSICS, PARTICLES & FIELDS | Integrals | Differential equations | Topology

Journal Article

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 01/2020, Volume 53, Issue 1, p. 15202

We use the quantum group approach for the investigation of correlation func- tions of integrable vertex models and spin chains. For the inhomogeneous reduced...

HIDDEN GRASSMANN STRUCTURE | CONFORMAL FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | QUANTUM AFFINE ALGEBRAS | XXZ MODEL | quantum Knizhnik?Zamolodchikov equation | density operator | UNIVERSAL R-MATRIX | PHYSICS, MATHEMATICAL | quantum loop algebras | INTEGRABLE STRUCTURE

HIDDEN GRASSMANN STRUCTURE | CONFORMAL FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | QUANTUM AFFINE ALGEBRAS | XXZ MODEL | quantum Knizhnik?Zamolodchikov equation | density operator | UNIVERSAL R-MATRIX | PHYSICS, MATHEMATICAL | quantum loop algebras | INTEGRABLE STRUCTURE

Journal Article

IEEE Transactions on Automatic Control, ISSN 0018-9286, 01/2015, Volume 60, Issue 1, pp. 143 - 157

In this paper, we consider boundary stabilization for a multi-dimensional wave equation with boundary control matched disturbance that depends on both time and...

Feedback loop | Uncertainty | Propagation | Partial differential equations | Observers | Mathematical model | Equations | disturbance rejection | stabilization | wave equation | SLIDING MODE CONTROL | SIGNALS | WELL-POSEDNESS | ENGINEERING, ELECTRICAL & ELECTRONIC | REGULARITY | TRACKING | Boundary control | SUBJECT | CONVERGENCE | EULER-BERNOULLI BEAM | AUTOMATION & CONTROL SYSTEMS | Wave equation | Usage | Stability | Series, Infinite | Analysis | Feedback control systems | Design and construction | Differential equations, Partial | Ordinary differential equations | Rejection | Reduction | Stabilization | Wave equations | Disturbances | High gain | Active control

Feedback loop | Uncertainty | Propagation | Partial differential equations | Observers | Mathematical model | Equations | disturbance rejection | stabilization | wave equation | SLIDING MODE CONTROL | SIGNALS | WELL-POSEDNESS | ENGINEERING, ELECTRICAL & ELECTRONIC | REGULARITY | TRACKING | Boundary control | SUBJECT | CONVERGENCE | EULER-BERNOULLI BEAM | AUTOMATION & CONTROL SYSTEMS | Wave equation | Usage | Stability | Series, Infinite | Analysis | Feedback control systems | Design and construction | Differential equations, Partial | Ordinary differential equations | Rejection | Reduction | Stabilization | Wave equations | Disturbances | High gain | Active control

Journal Article

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Stabilization of the Euler–Bernoulli equation via boundary connection with heat equation

Mathematics of Control, Signals, and Systems, ISSN 0932-4194, 3/2014, Volume 26, Issue 1, pp. 77 - 118

In this paper, we are concerned with the stabilization of a coupled system of Euler–Bernoulli beam or plate with heat equation, where the heat equation (or...

Heat equation | Systems Theory, Control | Control, Robotics, Mechatronics | Stabilization | Communications Engineering, Networks | Boundary control | Mathematics | Euler–Bernoulli beam | Plate | Euler-Bernoulli beam | DECAY | STABILITY | ENGINEERING, ELECTRICAL & ELECTRONIC | BEAM | SHEAR FORCE FEEDBACK | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | REGULARITY | SYSTEMS | SPECTRUM | AUTOMATION & CONTROL SYSTEMS | Control systems | Partial differential equations | Closed loop systems | Boundary conditions | Mathematical analysis | Dissipation | Euler-Bernoulli beams | Boundaries | Joints | Heat equations

Heat equation | Systems Theory, Control | Control, Robotics, Mechatronics | Stabilization | Communications Engineering, Networks | Boundary control | Mathematics | Euler–Bernoulli beam | Plate | Euler-Bernoulli beam | DECAY | STABILITY | ENGINEERING, ELECTRICAL & ELECTRONIC | BEAM | SHEAR FORCE FEEDBACK | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | REGULARITY | SYSTEMS | SPECTRUM | AUTOMATION & CONTROL SYSTEMS | Control systems | Partial differential equations | Closed loop systems | Boundary conditions | Mathematical analysis | Dissipation | Euler-Bernoulli beams | Boundaries | Joints | Heat equations

Journal Article

Physics Letters B, ISSN 0370-2693, 12/2013, Volume 727, Issue 4-5, pp. 541 - 547

We study the two-point correlator of an O(N) scalar field with quartic self-coupling in de Sitter space. For light fields in units of the expansion rate,...

Quantum field theory | De Sitter space | Schwinger–Dyson equations | Schwinger-Dyson equations | INFLATION | FIELD | ASTRONOMY & ASTROPHYSICS | ONE-LOOP CORRECTIONS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Infrared | Asymptotic properties | Mathematical analysis | Elementary particles | Insertion | Scalars | Power law | General Relativity and Quantum Cosmology | High Energy Physics - Phenomenology | Nuclear Theory | High Energy Physics - Theory

Quantum field theory | De Sitter space | Schwinger–Dyson equations | Schwinger-Dyson equations | INFLATION | FIELD | ASTRONOMY & ASTROPHYSICS | ONE-LOOP CORRECTIONS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Infrared | Asymptotic properties | Mathematical analysis | Elementary particles | Insertion | Scalars | Power law | General Relativity and Quantum Cosmology | High Energy Physics - Phenomenology | Nuclear Theory | High Energy Physics - Theory

Journal Article