Journal of High Energy Physics, ISSN 1126-6708, 3/2019, Volume 2019, Issue 3, pp. 1 - 47

We clarify and further explore the CFT dual of shockwave geometries in Anti-de Sitter. The shockwave is dual to a CFT state produced by a heavy local operator...

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | SITTER SPACETIMES | ENERGY | ADS/CFT | 4-POINT FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Couplings | Shock waves | Operators | Galling

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | SITTER SPACETIMES | ENERGY | ADS/CFT | 4-POINT FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Couplings | Shock waves | Operators | Galling

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2018, Volume 2018, Issue 1, pp. 1 - 47

We study the operator product expansion (OPE) for scalar conformal defects of any codimension in CFT. The OPE for defects is decomposed into “defect OPE...

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INVARIANCE | DERIVATION | VACUUM | BOUNDARY | LARGE N LIMIT | ENTANGLEMENT ENTROPY | SURFACES | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Mathematical analysis | Radon | Representations | Equations of motion | Formulas (mathematics) | Quantum theory | Defects | Physics - High Energy Physics - Theory | Phenomenology | High Energy Physics | Theory | Nuclear Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INVARIANCE | DERIVATION | VACUUM | BOUNDARY | LARGE N LIMIT | ENTANGLEMENT ENTROPY | SURFACES | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Mathematical analysis | Radon | Representations | Equations of motion | Formulas (mathematics) | Quantum theory | Defects | Physics - High Energy Physics - Theory | Phenomenology | High Energy Physics | Theory | Nuclear Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

3.
Full Text
Exact relations for a strongly interacting fermi gas from the operator product expansion

Physical Review Letters, ISSN 0031-9007, 05/2008, Volume 100, Issue 20, p. 205301

The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like 1/k(4) at large momentum k, as...

PHYSICS, MULTIDISCIPLINARY | INTEGRALS | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | SCATTERING LENGTHS | FERMI GAS | OPERATOR PRODUCT EXPANSION | EXPECTATION VALUE | Subatomär fysik | Atom and Molecular Physics and Optics | Subatomic Physics | Atom- och molekylfysik och optik

PHYSICS, MULTIDISCIPLINARY | INTEGRALS | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | SCATTERING LENGTHS | FERMI GAS | OPERATOR PRODUCT EXPANSION | EXPECTATION VALUE | Subatomär fysik | Atom and Molecular Physics and Optics | Subatomic Physics | Atom- och molekylfysik och optik

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 04/2015, Volume 91, Issue 7

We propose a new locally smeared operator product expansion to decompose nonlocal operators in terms of a basis of smeared operators. The smeared operator...

PERTURBATION-THEORY | LATTICE QCD | PARTON DISTRIBUTIONS | ASTRONOMY & ASTROPHYSICS | CONSTRAINTS | QCD ANALYSIS | PHYSICS, PARTICLES & FIELDS | operator product expansion (OPE) | NUCLEAR PHYSICS AND RADIATION PHYSICS | quantum chromodynamics (QCD) | euclidean lattices | scalar field theory

PERTURBATION-THEORY | LATTICE QCD | PARTON DISTRIBUTIONS | ASTRONOMY & ASTROPHYSICS | CONSTRAINTS | QCD ANALYSIS | PHYSICS, PARTICLES & FIELDS | operator product expansion (OPE) | NUCLEAR PHYSICS AND RADIATION PHYSICS | quantum chromodynamics (QCD) | euclidean lattices | scalar field theory

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 07/2013, Volume 54, Issue 7, p. 72302

We establish conceptually important properties of the operator product expansion (OPE) in the context of perturbative, Euclidean φ4-quantum field theory....

EFFECTIVE LAGRANGIANS | PERTURBATIVE RENORMALIZATION | PHYSICS, MATHEMATICAL | FLOW EQUATIONS | COMPOSITE-OPERATORS | Operators | Flow equations | Algebra | Asymptotic properties | Mathematical analysis | Proving | Field theory | Coefficients | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | ANALYTIC FUNCTIONS | FACTORIZATION | SPACE-TIME | ALGEBRA | PERTURBATION THEORY | OPERATOR PRODUCT EXPANSION | EUCLIDEAN SPACE | PHI4-FIELD THEORY | ASYMPTOTIC SOLUTIONS | RENORMALIZATION

EFFECTIVE LAGRANGIANS | PERTURBATIVE RENORMALIZATION | PHYSICS, MATHEMATICAL | FLOW EQUATIONS | COMPOSITE-OPERATORS | Operators | Flow equations | Algebra | Asymptotic properties | Mathematical analysis | Proving | Field theory | Coefficients | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | ANALYTIC FUNCTIONS | FACTORIZATION | SPACE-TIME | ALGEBRA | PERTURBATION THEORY | OPERATOR PRODUCT EXPANSION | EUCLIDEAN SPACE | PHI4-FIELD THEORY | ASYMPTOTIC SOLUTIONS | RENORMALIZATION

Journal Article

6.
Full Text
Operator product expansion of inflationary correlators and conformal symmetry of de Sitter

Nuclear Physics, Section B, ISSN 0550-3213, 11/2012, Volume 864, Issue 3, pp. 492 - 529

We study the multifield inflationary models where the cosmological perturbation is sourced by light scalar fields other than the inflaton. The corresponding...

Conformal field theory | Inflation | Operator product expansion | Suyama–Yamaguchi inequality | Curvaton | Non-Gaussianities | Suyama-Yamaguchi inequality | RENORMALIZATION-GROUP | FIELD-THEORY | DENSITY PERTURBATIONS | MODELS | FLUCTUATIONS | LOGARITHMIC OPERATORS | UNIVERSE | PHYSICS, PARTICLES & FIELDS | Inflation (Finance) | Universities and colleges

Conformal field theory | Inflation | Operator product expansion | Suyama–Yamaguchi inequality | Curvaton | Non-Gaussianities | Suyama-Yamaguchi inequality | RENORMALIZATION-GROUP | FIELD-THEORY | DENSITY PERTURBATIONS | MODELS | FLUCTUATIONS | LOGARITHMIC OPERATORS | UNIVERSE | PHYSICS, PARTICLES & FIELDS | Inflation (Finance) | Universities and colleges

Journal Article

Physical Review Letters, ISSN 0031-9007, 06/2010, Volume 104, Issue 22, p. 223004

Universal relations that hold for any state provide powerful constraints on systems consisting of fermions with two spin states interacting with a large...

PHYSICS, MULTIDISCIPLINARY | ANNIHILATION | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SERIES EXPANSION | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MANY-BODY PROBLEM | BASIC INTERACTIONS | LENGTH | FERMIONS | INTERACTIONS | PARTICLE PROPERTIES | RADIOWAVE RADIATION | DENSITY | FIELD THEORIES | ANGULAR MOMENTUM | DIMENSIONS | SPECTROSCOPY | SCATTERING LENGTHS | FERMI GAS | PHYSICAL PROPERTIES | ELECTROMAGNETIC RADIATION | RADIATIONS | OPERATOR PRODUCT EXPANSION | QUANTUM FIELD THEORY | STRONG INTERACTIONS | Atom and Molecular Physics and Optics | algebra | Atom- och molekylfysik och optik | annihilation

PHYSICS, MULTIDISCIPLINARY | ANNIHILATION | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SERIES EXPANSION | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MANY-BODY PROBLEM | BASIC INTERACTIONS | LENGTH | FERMIONS | INTERACTIONS | PARTICLE PROPERTIES | RADIOWAVE RADIATION | DENSITY | FIELD THEORIES | ANGULAR MOMENTUM | DIMENSIONS | SPECTROSCOPY | SCATTERING LENGTHS | FERMI GAS | PHYSICAL PROPERTIES | ELECTROMAGNETIC RADIATION | RADIATIONS | OPERATOR PRODUCT EXPANSION | QUANTUM FIELD THEORY | STRONG INTERACTIONS | Atom and Molecular Physics and Optics | algebra | Atom- och molekylfysik och optik | annihilation

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2004, Volume 678, Issue 1, pp. 491 - 507

By solving the two variable differential equations which arise from finding the eigenfunctions for the Casimir operator for O( d,2) succinct expressions are...

Conformal field theory | Four-point function | Operator product expansion | POLYNOMIALS | operator product expansion | four-point function | conformal field theory | PHYSICS, NUCLEAR | FORMULAS | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Conformal field theory | Four-point function | Operator product expansion | POLYNOMIALS | operator product expansion | four-point function | conformal field theory | PHYSICS, NUCLEAR | FORMULAS | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2015, Volume 336, Issue 3, pp. 1555 - 1606

We derive a novel formula for the derivative of operator product expansion (OPE) coefficients with respect to a coupling constant. The formula involves just...

SHORT-DISTANCE EXPANSION | PERTURBATIVE RENORMALIZATION | THEOREM | FLOW EQUATIONS | BEHAVIOR | COMPOSITE-OPERATORS | CURRENT-ALGEBRA | PHYSICS, MATHEMATICAL | LAGRANGIAN FIELD THEORY | Algorithms

SHORT-DISTANCE EXPANSION | PERTURBATIVE RENORMALIZATION | THEOREM | FLOW EQUATIONS | BEHAVIOR | COMPOSITE-OPERATORS | CURRENT-ALGEBRA | PHYSICS, MATHEMATICAL | LAGRANGIAN FIELD THEORY | Algorithms

Journal Article

03/2017

Phys. Rev. Lett. 118, 242001 (2017) Deep-inelastic scattering, in the laboratory and on the lattice, is most instructive for understanding how the nucleon is...

Journal Article

11.
Full Text
Generalized Wilson-Fisher Critical Points from the Conformal Operator Product Expansion

Physical Review Letters, ISSN 0031-9007, 02/2017, Volume 118, Issue 6, p. 061601

We study possible smooth deformations of the generalized free conformal field theory in arbitrary dimensions by exploiting the singularity structure of the...

PHYSICS, MULTIDISCIPLINARY | Operators | Deformation | Singularities | Computation | Scalars | Field theory | Critical point | Equations of motion

PHYSICS, MULTIDISCIPLINARY | Operators | Deformation | Singularities | Computation | Scalars | Field theory | Critical point | Equations of motion

Journal Article

Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 07/2017, Volume 58, Issue 3, pp. 333 - 348

We consider a class of linear integral operators with impulse responses varying regularly in time or space. These operators appear in a large number of...

Wavelet | Integral operators | Numerical complexity | Structured low-rank decomposition | Fast Fourier transform | Spline | Approximation rate | MATHEMATICS, APPLIED | BASES | COMPACTLY SUPPORTED WAVELETS | RESTORATION | ALGORITHMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | SPACE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | DECONVOLUTION | IMAGES | VARIANT BLUR | Information storage and retrieval | Algorithms | Signal and Image Processing | Mathematics | Numerical Analysis | Image Processing | Computer Science

Wavelet | Integral operators | Numerical complexity | Structured low-rank decomposition | Fast Fourier transform | Spline | Approximation rate | MATHEMATICS, APPLIED | BASES | COMPACTLY SUPPORTED WAVELETS | RESTORATION | ALGORITHMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | SPACE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | DECONVOLUTION | IMAGES | VARIANT BLUR | Information storage and retrieval | Algorithms | Signal and Image Processing | Mathematics | Numerical Analysis | Image Processing | Computer Science

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 12/2015, Volume 56, Issue 12, p. 122303

We consider a recursive scheme for defining the coefficients in the operator product expansion (OPE) of an arbitrary number of composite operators in the...

PHYSICS, MATHEMATICAL | SHORT-DISTANCE EXPANSION | ALGEBRAS | Perturbation theory | Operators (mathematics) | Thermal expansion | Flow equations | Euclidean geometry | Mathematical analysis | Field theory | Feynman diagrams | Quantum field theory | Quantum theory

PHYSICS, MATHEMATICAL | SHORT-DISTANCE EXPANSION | ALGEBRAS | Perturbation theory | Operators (mathematics) | Thermal expansion | Flow equations | Euclidean geometry | Mathematical analysis | Field theory | Feynman diagrams | Quantum field theory | Quantum theory

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 2015, Volume 56, Issue 10, p. 102302

The emergence of a critical dimension is one of the most striking features of string theory. One way to obtain it is by demanding closure of the Lorentz...

MODEL | PHYSICS, MATHEMATICAL | POMERON | ALGEBRA | String theory | Strings | Physics - High Energy Physics - Theory | OPERATOR PRODUCT EXPANSION | STRING MODELS | QUANTIZATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STRING THEORY | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

MODEL | PHYSICS, MATHEMATICAL | POMERON | ALGEBRA | String theory | Strings | Physics - High Energy Physics - Theory | OPERATOR PRODUCT EXPANSION | STRING MODELS | QUANTIZATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STRING THEORY | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2017, Volume 2017, Issue 5, pp. 1 - 20

We revisit the computation of instanton effects to various correlation functions in N = 4 SYM and clarify a controversy existing in the literature regarding...

Nonperturbative Effects | Solitons Monopoles and Instantons | Supersymmetric Gauge Theory | STATES | YANG-MILLS | CALCULUS | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Correlation | Correlators | Regularization | Symmetry | Physics - High Energy Physics - Theory

Nonperturbative Effects | Solitons Monopoles and Instantons | Supersymmetric Gauge Theory | STATES | YANG-MILLS | CALCULUS | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Correlation | Correlators | Regularization | Symmetry | Physics - High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2001, Volume 599, Issue 1, pp. 459 - 496

Various aspects of the four point function for scalar fields in conformally invariant theories are analysed. This depends on an arbitrary function of two...

Four point function | Conformal field theory | Operator product expansion | 11.25.Hf | operator product expansion | SCALAR EXCHANGE | SUPERGRAVITY | 3-POINT | four point function | O(N) SIGMA-MODEL | conformal field theory | PHYSICS, NUCLEAR | ADS/CFT CORRESPONDENCE | QUANTUM-FIELD-THEORY | GRAPHS | DIMENSIONS | 4-POINT LADDER DIAGRAMS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Four point function | Conformal field theory | Operator product expansion | 11.25.Hf | operator product expansion | SCALAR EXCHANGE | SUPERGRAVITY | 3-POINT | four point function | O(N) SIGMA-MODEL | conformal field theory | PHYSICS, NUCLEAR | ADS/CFT CORRESPONDENCE | QUANTUM-FIELD-THEORY | GRAPHS | DIMENSIONS | 4-POINT LADDER DIAGRAMS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2016, Volume 2016, Issue 11, pp. 1 - 34

We use the numerical conformal bootstrap in two dimensions to search for finite, closed sub-algebras of the operator product expansion (OPE), without assuming...

Conformal Field Theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SYMMETRY | MODELS | ALGEBRA | CONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Algebra | Numerical analysis | Operators (mathematics) | Operators | Coulomb friction | Matrices (mathematics) | Mathematical analysis | Mathematical models | Matrix methods | Formalism | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Conformal Field Theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SYMMETRY | MODELS | ALGEBRA | CONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Algebra | Numerical analysis | Operators (mathematics) | Operators | Coulomb friction | Matrices (mathematics) | Mathematical analysis | Mathematical models | Matrix methods | Formalism | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Physical Review Letters, ISSN 0031-9007, 05/2015, Volume 114, Issue 19, p. 191601

We use the connection between infrared (IR) renormalons and condensates in the operator product expansion for correlation functions to make predictions...

PHYSICS, MULTIDISCIPLINARY | ELECTRIC-MAGNETIC DUALITY | QCD | Supersymmetry | Operators | Correlation | Gauge theory | Infrared | Singularities | Condensates | Factorials

PHYSICS, MULTIDISCIPLINARY | ELECTRIC-MAGNETIC DUALITY | QCD | Supersymmetry | Operators | Correlation | Gauge theory | Infrared | Singularities | Condensates | Factorials

Journal Article