Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture

From MaRDI portal
Publication:3407384

DOI10.1103/PhysRevB.4.3174zbMath1236.82017WikidataQ21708794 ScholiaQ21708794MaRDI QIDQ3407384

Kenneth G. Wilson

Publication date: 4 March 2010

Published in: Physical Review B (Search for Journal in Brave)




Related Items (only showing first 100 items - show all)

Critical phenomena and renormalization-group theoryDynamical renormalization group for mode-coupling field theories with solenoidal constraintFlavor structures of charged fermions and massive neutrinosExact cumulant Kramers-Moyal-like expansionEpidemiological theory of virus variantsLarge curvature and background scale independence in single-metric approximations to asymptotic safetyRenormalization group in the local potential approximationManifestly diffeomorphism invariant classical exact renormalization groupMore is the same; phase transitions and mean field theoriesGauge contribution to the \(1/N_F\) expansion of the Yukawa coupling beta functionThe renormalized \(\phi^4_4\) trajectory by perturbation theory in the running coupling. I: The discrete renormalization groupThe universal structure of local algebrasAnalytic continuation of functional renormalization group equationsRenormalization group analysis of turbulence. I: Basic theoryThe breakdown of Alfvén's theorem in ideal plasma flows: Necessary conditions and physical conjecturesLeClair-Mussardo series for two-point functions in integrable QFTRenormalization group fixed points in the local potential approximation for \(d\geq 3\)The asymptotic safety scenario in quantum gravityHierarchical neural networks perform both serial and parallel processingFractal and multifractal approaches for the analysis of crack-size dependent scaling laws in fatigueA unified fractal approach for the interpretation of the anomalous scaling laws in fatigue and comparison with existing modelsWilsonian effective action of superstring theoryThe renormalization method based on the Taylor expansion and applications for asymptotic analysisOperator-algebraic construction of gauge theories and Jones' actions of Thompson's groupsStochastic quantization, reflection positivity, and quantum fieldsAsymptotic freedom in the BV formalismField theory description of continuous phase transitionsMetabolic free energy and biological codes: a `data rate theorem' aging modelModeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamicsDynamics of a family of rational maps concerning renormalization transformationDirections for model building from asymptotic safetyCorrelators, Feynman diagrams, and quantum no-hair in deSitter spacetimeThe hierarchical \({\Phi}^4\)-trajectory by pertubation theory in a running coupling and its logarithmCombination laws for scaling exponents and relation to the geometry of renormalization operatorsDecoupling emergence and reduction in physicsWhich fine-tuning arguments are fine?O(\(N\)) and O(\(N\)) and O(\(N\))The operator product expansion converges in perturbative field theoryConvergent perturbation expansions for Euclidean quantum field theoryA gradient-projective basis of compactly supported wavelets in dimension \(n>1\)Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients and marginal perturbationsRenormalization group analysis of a simple hierarchical fermion modelStudying amphiphilic self-assembly with soft coarse-grained modelsEpsilon expansion for multicritical fixed points and exact renormalisation group equationsFrom constructive field theory to fractional stochastic calculus. II: Constructive proof of convergence for the Lévy area of fractional Brownian motion with Hurst index \(\alpha \in \left(\frac{1}{8},\frac{1}{4}\right)\)Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operatorsStatistical mechanics: A perspective on the work of R. J. BaxterScaling limits of lattice quantum fields by waveletsThe nonperturbative functional renormalization group and its applicationsCoherent and dissipative dynamics at quantum phase transitionsExtending Swerdlow's hypothesis: statistical models of mitochondrial deterioration and agingSafe SUSYA study of the character of the phase transition to the superconducting phase by the renormalization group methodIn memory of Kenneth G. WilsonWilson's renormalization group: a paradigmatic shiftScaling limits and critical behaviour of the 4-dimensional \(n\)-component \(|\varphi|^4\) spin modelRenormalization group and divergencesWeyl semimetallic phase in an interacting lattice systemOn the local Borel transform of perturbation theoryConnecting the holographic and Wilsonian renormalization groupsGauge fields, strings, solitons, anomalies, and the speed of lifeRecursive construction of operator product expansion coefficientsOn the dynamics of a family of generated renormalization transformationsRenormalization group and fractional calculus methods in a complex world: a reviewToy models of holographic duality between local HamiltoniansA safe CFT at large chargeGinzberg-Landau-Wilson theory for flat band, Fermi-arc and surface states of strongly correlated systemsRevisiting relativistic magnetohydrodynamics from quantum electrodynamicsA quantitative criterion to describe the deformation process of rock sample subjected to uniaxial compression: from criticality to final failureThe scaling limit of the KPZ equation in space dimension 3 and higherCover-encodings of fitness landscapesThe hierarchy problem and the cosmological constant problem revisitedPhase space of collective variables and the Zubarev transition functionMarginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) modelsThe cosmology of a fundamental scalarNon-Gibbsian limit for large-block majority-spin transformationsThe development of renormalization group methods for particle physics: formal analogies between classical statistical mechanics and quantum field theoryRenormalization group transformation for the wave functionA brief introduction to observational entropyNonlinear excitations in the critical regionSpecial issue: Applications of fractals in material science and engineeringMultifractal scaling laws in the breaking behaviour of disordered materialsAttractor properties of physical branches of the solution to the renormalization group equationOptimization of renormalization group flowFractal space signatures in quantum physics and cosmology. I: Space, time, matter, fields and gravitationStochastic quantization of massive fermionsConvergent scattering series solution of the inhomogeneous Helmholtz equation via renormalization group and homotopy continuation approachesGreen's function approach to infrared factorization and finite eikonal correctionsStrongly nonlinear perturbation theory for solitary waves and bionsIntermediate asymptotics and renormalization group theoryHigh-energy scattering in extra dimensionsSelf-similar random fieldsUnitarity bounds on effective field theories at the LHCWriting the history of dynamical systems and chaos: `Longue durée' and revolution, disciplines and culturesIntermediate asymptotics, scaling laws and renormalization group in continuum mechanicsRenormalization group flow of a hierarchical sine-Gordon model by partial differential equationsOn the sliding instabilities at rough surfacesCritical behavior of isotropic systems with strong dipole-dipole interaction: three-loop studySome basic aspects of quantum phase transitionsThe operator product expansion converges in massless \(\varphi_4^4\)-theory



Cites Work


This page was built for publication: Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture