The critical \(O(N)\) CFT: methods and conformal data (Q2684362)

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English	The critical \(O(N)\) CFT: methods and conformal data	scientific article

Statements

scholarly article

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The critical \(O(N)\) CFT: methods and conformal data (English)

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Johan Henriksson

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Physics Reports

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publication date

16 February 2023

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full work available at URL

https://arxiv.org/abs/2201.09520

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zbMATH Keywords

conformal field theory

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critical phenomena

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epsilon-expansion

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large \(N\) expansion

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describes a project that uses

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MaRDI profile type

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

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Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior

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Renormalization group theory: Its basis and formulation in statistical physics

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Beitrag zur Theorie des Ferromagnetismus

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice

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Infinite conformal symmetry in two-dimensional quantum field theory

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A complete renormalization group trajectory between two fixed points

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Random currents and continuity of Ising model's spontaneous magnetization

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Critical phenomena and renormalization-group theory

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AdS dual of the critical \(O(N)\) vector model

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Experimental critical-exponent values for fluids

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Precision islands in the Ising and \(O(N)\) models

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There are no Goldstone bosons in two dimensions

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\(c=I\) conformal field theories on Riemann surfaces

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Bounding scalar operator dimensions in 4D CFT

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Conformal symmetry and the spectrum of anomalous dimensions in the \(N\)-vector model in \(4-\epsilon\) dimensions.

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The structure of the spectrum of anomalous dimensions in the \(N\)-vector model in \(4-\epsilon\) dimensions

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The critical \(\text{O}(N)\) \(\sigma\)-model at dimensions \(2<d<4\): A list of quasi-primary fields.

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High-gradient operators in the \(N\)-vector model

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Light-ray operators in conformal field theory

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Implications of conformal invariance in field theories for general dimensions

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EPFL lectures on conformal field theory in \(D \geq 3\) dimensions

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All unitary ray representations of the conformal group SU(2,2) with positive energy

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Restrictions imposed by superconformal invariance on quantum field theories

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Bootstrapping the \(O\)(\(N\)) archipelago

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Carving out OPE space and precise O(2) model critical exponents

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The \(O(n)\) loop model on a three-dimensional lattice

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PyCFTBoot: A Flexible Interface for the Conformal Bootstrap

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Critical Ising model in varying dimension by conformal bootstrap

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On level crossing in conformal field theories

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Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas

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Chromatic polynomials of large triangular lattices

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Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap

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Lectures on the Spin and Loop O(n) Models

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The \(O(n)\) model in the \(n\rightarrow 0\) limit (self-avoiding-walks) and logarithmic conformal field theory

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Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications

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The ABC (in any D) of logarithmic CFT

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Six loop analytical calculation of the field anomalous dimension and the critical exponent \(\eta\) in \(\operatorname{O}(n)\)-symmetric \(\phi^{4}\) model

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Mellin space bootstrap for global symmetry

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Critical O(<i>N</i>) model to order<i>ϵ</i><sup>4</sup>from analytic bootstrap

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Conserved currents, consistency relations, and operator product expansions in the conformally invariant \(O(N)\) vector model

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A method of calculating the critical dimensions of composite operators in the massless nonlinear \(\sigma\) model

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Counting conformal correlators

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The lightcone bootstrap and the spectrum of the 3d Ising CFT

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Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the \((4-\varepsilon)\)-dimensionally regularized \(O(n)\)-symmetric \(\phi^4\) theory

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Perturbation expansions at large order: results for scalar field theories revisited

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Continued functions and perturbation series: simple tools for convergence of diverging series in \(\mathrm{O}(n)\)-symmetric \(\phi^4\) field theory at weak coupling limit

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The Galois coaction on \(\phi^4\) periods

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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

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On ${C}_{J}$ and ${C}_{T}$ in the Gross–Neveu and<i>O</i>(<i>N</i>) models

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Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models

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Two-dimensional \(O(n)\) models and logarithmic CFTs

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Exact results for the universal area distribution of clusters in percolation, Ising, and Potts models

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Rigorous bounds on irrelevant operators in the 3d Ising model CFT

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The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT

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Bootstrapping the \(O\)(\(N\) ) vector models

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Scale-free Monte Carlo method for calculating the critical exponent<i>γ</i>of self-avoiding walks

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Bounds on 4D conformal and superconformal field theories

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Dispersion relation for CFT four-point functions

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Analytic bootstrap of mixed correlators in the \(O(n)\) CFT

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Double-trace deformations of conformal correlations

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Conformal four point functions and the operator product expansion

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An algebraic approach to the analytic bootstrap

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A new spin on causality constraints

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Conserved currents and the energy-momentum tensor in conformally invariant theories for general dimensions

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A proof of the conformal collider bounds

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The 3d stress-tensor bootstrap

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Spinning conformal blocks

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Spinning conformal correlators

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Mixed scalar-current bootstrap in three dimensions

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Precise determination of critical exponents and equation of state by field theory methods

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Conformal Regge theory

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DGLAP and BFKL equations in the \(N=4\) supersymmetric gauge theory

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Analyticity in spin in conformal theories

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Interpolating between \(a\) and \(F\)

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Generalized \(F\)-theorem and the \(\varepsilon\) expansion

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\(F\)-theorem without supersymmetry

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On the CFT operator spectrum at large global charge

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Semiclassics, Goldstone bosons and CFT data

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The epsilon expansion meets semiclassics

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The conformal bootstrap at finite temperature

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Defects in conformal field theory

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Anomalous dimensions in the WF O(\(N\)) model with a monodromy line defect

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Localized magnetic field in the \(O(N)\) model

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Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems

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Non-perturbative renormalization flow in quantum field theory and statistical physics

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An Introduction to the Nonperturbative Renormalization Group

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The nonperturbative functional renormalization group and its applications

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Critical exponents of the<b><i>N</i></b>-vector model

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Fast-convergent resummation algorithm and critical exponents of φ4-theory in three dimensions

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Anomalous dimensions in CFT with weakly broken higher spin symmetry

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Critical exponents from five-loop scalar theory renormalization near six-dimensions

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Bootstrapping mixed correlators in the five dimensional critical \(O(N)\) models

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Revisiting the dilatation operator of the Wilson-Fisher fixed point

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The $\epsilon $-expansion from conformal field theory

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The random-bond Ising model in 2.01 and 3 dimensions

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The critical \(\text{O}(N)\) \(\sigma\)-model at dimensions \(2<d<4\): Fusion coefficients and anomalous dimensions

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Critical dimensions of composite operators in the nonlinear \(\sigma\)-model

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On (Un)Broken Higher-Spin Symmetry in Vector Models

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Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT

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Classical equation of motion and anomalous dimensions at leading order

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Notes on spinning operators in fermionic CFT

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Generic scaling relation in the scalar model

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The analytic bootstrap and AdS superhorizon locality

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A Tauberian theorem for the conformal bootstrap

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Conformal bootstrap with slightly broken higher spin symmetry

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Solving CFTs with weakly broken higher spin symmetry

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Taming the \(\epsilon\)-expansion with large spin perturbation theory

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More analytic bootstrap: nonperturbative effects and fermions

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Gravitational S-matrix from CFT dispersion relations

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Higher spin currents in the critical \(O(N)\) vector model at \(1/N^2\)

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A Mellin space approach to the conformal bootstrap

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Writing CFT correlation functions as AdS scattering amplitudes

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Conformal invariance in the long-range Ising model

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A structural test for the conformal invariance of the critical 3d Ising model

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Conformal invariance and vector operators in the \(O(N)\) model

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The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points

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Leading CFT constraints on multi-critical models in \(d > 2\)

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Character formulas and partition functions in higher dimensional conformal field theory

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSREP.2022.12.002

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Sitelinks

Mathematics(1 entry)

mardi Publication:2684362

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