Critical exponents from field theory
Data up to Jan 2025
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Abstract
References (71)
The renormalization group and the ε expansion
1974 • 4,825 citations
The theory of equilibrium critical phenomena
1967 • 2,331 citations
Phase transitions and critical phenomena
1975 • 1,798 citations
Critical Exponents in 3.99 Dimensions
1972 • 1,547 citations
Critical Exponents for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-Vector Model in Three Dimensions from Field Theory
1977 • 1,177 citations
Critical indices from perturbation analysis of the Callan-Symanzik equation
1978 • 423 citations
Perturbation theory at large order. I. The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>interaction
1977 • 399 citations
Ising-Model Critical Indices in Three Dimensions from the Callan-Symanzik Equation
1976 • 305 citations
Crossover scaling functions for exchange anisotropy
1974 • 257 citations
Dynamics of polymers in dilute solutions : an explanation of anomalous indices by cross-over effects
1979 • 236 citations
Summation of divergent series by order dependent mappings: Application to the anharmonic oscillator and critical exponents in field theory
1979 • 218 citations
Polymers and scaling
1976 • 204 citations
Coexistence curves at liquid-liquid critical points: Ising exponents and extended scaling
1976 • 198 citations
Decay properties and borel summability for the Schwinger functions inP(Φ)2 theories
1975 • 193 citations
Theory of Critical-Point Scattering and Correlations. II. Heisenberg Models
1972 • 193 citations
Second-Sound Velocity and Superfluid Density in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>under Pressure near<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow…
1973 • 178 citations
The Wightman axioms and the mass gap for weakly coupled (ϕ4)3 quantum field theories
1976 • 157 citations
Ising Critical Exponents in Real Fluids: An Experiment
1976 • 146 citations
High-temperature series for the susceptibility of the spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>Ising model: Analysis of confluent singularities
1975 • 143 citations
Higher order contributions to critical exponents
1973 • 136 citations
Critical Indices and Amplitudes of Classical Planar Models in Finite Field for Temperatures Greater than<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
1973 • 128 citations
Spin-Spin Correlation Function of the Three-Dimensional Ising Ferromagnet Above the Curie Temperature
1969 • 128 citations
Critical exponents and large-order behavior of perturbation theory
1978 • 123 citations
Phase space cell expansion and borel summability for the Euclidean φ 3 4 theory
1977 • 118 citations
Some Thermodynamic Properties of Polymer-Solvent Systems. Comparison between Deuterated and Undeuterated Systems
1975 • 117 citations
Methods of Series Analysis. II. Generalized and Extended Methods with Application to the Ising Model
1973 • 112 citations
Probability of Initial Ring Closure for Self-Avoiding Walks on the Face-Centered Cubic and Triangular Lattices
1967 • 110 citations
Specific heat of a three dimensional Ising ferromagnet above the Curie temperature. II
1972 • 109 citations
Confluent singularities and the correction-to-scaling exponent for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mn /></mml:math>fcc Ising model
1975 • 107 citations
Analysis of hyperscaling in the Ising model by the high-temperature series method
1977 • 104 citations
Strong interactions dynamics with padéapproximants
1971 • 95 citations
Series analysis of corrections to scaling for the spin-pair correlations of the spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>Ising model: Confluent singularities, universality, and hyperscaling
1976 • 90 citations
Some Critical Properties of the Nearest-Neighbor, Classical Heisenberg Model for the fcc Lattice in Finite Field for Temperatures Greater than<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
1971 • 90 citations
Continuous-Spin Ising Model and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mo>:</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>:</mml:mo></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Field Theory
1979 • 89 citations
Specific heat of a three-dimensional Ising ferromagnet above the Curie temperature
1967 • 85 citations
The asymptotic behaviour of selfavoiding walks and returns on a lattice
1972 • 84 citations
Analysis of ising model critical exponents from high temperature series expansion
1979 • 84 citations
Thermal-Expansion Coefficient and Universality near the Superfluid Transition of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>under Pressure
1975 • 74 citations
Application of the method of Pade approximants to the excluded volume problem
1975 • 65 citations
Accurate determination of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi></mml:math>exponents in critical binary fluids by refractive-index measurements
1979 • 62 citations
Light scattering by dilute solution of polystyrene in a good solvent
1976 • 59 citations
Experimental Determinations of the Excluded-Volume Exponent in Different Environments
1974 • 58 citations
Estimation of critical indices for the three-dimensional Ising model
1973 • 48 citations
Experimental Determination of the Critical Correlation Function for a Binary Liquid Mixture: Evidence for Universality
1976 • 47 citations
Some Critical Properties of the Heisenberg Model
1969 • 47 citations
Critical Opalescence
1972 • 41 citations
On hyperscaling in the Ising model in three dimensions
1979 • 38 citations
Critical Indices for a System of Spins of Arbitrary Dimensionality Situated on a Lattice of Arbitrary Dimensionality
1969 • 34 citations
The end-point distribution of self-avoiding walks on a crystal lattice
1971 • 34 citations
Perturbed Angular Correlation Measurement on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Rh</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>100</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>in a Ni Host: Critical Exponent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>for Ni
1970 • 34 citations
The critical exponent γ for the three-dimensional Ising model
1979 • 33 citations
The end-point distribution of self-avoiding walks on a crystal lattice. II. Loose-packed lattices
1974 • 32 citations
Spin-½ Heisenberg Ferromagnet on Cubic Lattices: Analysis of Critical Properties by a Transformation Method
1971 • 31 citations
New Mössbauer-Effect Measurements on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Fe</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>57</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>in a Ni Host: The Critical Exponent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>for Ni
1972 • 29 citations
An Interferometric Method for Determining the Coexistence Curve and Diffusion Coefficient of a Binary Fluid
1974 • 28 citations
High-temperature reduced susceptibility of the Ising model
1975 • 25 citations
On the spontaneous magnetization of the classical Heisenberg ferromagnet
1970 • 25 citations
Confluent-singularity analysis of high-temperature series for thermodynamic functions of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>model, the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="…
1979 • 23 citations
Confluent singularities and hyperscaling in the spin-1/2Ising model
1979 • 23 citations
Confluent corrections to scaling in the isotropic Heisenberg model
1976 • 23 citations
Critical exponent β for nickel and nickel-copper alloys
1971 • 23 citations
Self-avoiding walks on the face-centred cubic lattice
1979 • 22 citations
The exponent-γ for the spin-1/2Ising model on the face-centred cubic lattice
1979 • 21 citations
Diffusion and relaxation time of polymers in dilute solutions
1978 • 21 citations
Critical Magnetic Scattering from RbMnF3
1969 • 20 citations
New measurement of the critical exponent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>for nickel by microwave transmission
1977 • 19 citations
Specific heat of europium sulphide: a comparison between theory and experiment
1969 • 17 citations
The spin model. II. Analysis of high temperature series expansions of some thermodynamic quantities in three dimensions
1978 • 14 citations
Spin-Spin Correlations of the Classical Heisenberg Ferromagnet on the fcc Lattice, for Temperatures above<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
1971 • 12 citations
Spontaneous magnetization from NMR measurements and critical exponents in nickel
1970 • 10 citations
The critical exponent gamma for the three-dimensional Ising model
1979 • 8 citations