Critical O(N) model to orderϵ4from analytic bootstrap

DOI10.1088/1751-8121/aaf1e2zbMath1422.81156arXiv1801.03512OpenAlexW2783630024MaRDI QIDQ5235192

Mark van Loon, Johan Henriksson

Publication date: 7 October 2019

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03512

zbMATH Keywords

conformal field theoryconformal bootstrap\(\epsilon\)-expansion\(\mathrm{O}(N)\) symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on lattices (81T25) Applications of Lie groups to the sciences; explicit representations (22E70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (15)

Thermal CFTs in momentum space ⋮ Closed-form expression for cross-channel conformal blocks near the lightcone ⋮ An alternative to diagrams for the critical O\((N)\) model: dimensions and structure constants to order \(1/N^2\) ⋮ A dispersion relation for defect CFT ⋮ Holographic cameras: an eye for the bulk ⋮ Analytic bootstrap for the localized magnetic field ⋮ Analytic bootstrap of mixed correlators in the \(O(n)\) CFT ⋮ The critical \(O(N)\) CFT: methods and conformal data ⋮ Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs ⋮ A Lorentzian inversion formula for defect CFT ⋮ Critical Ising model in varying dimension by conformal bootstrap ⋮ Bounds on multiscalar CFTs in the \(\epsilon\) expansion ⋮ Lightcone expansions of conformal blocks in closed form ⋮ Lightcone bootstrap at higher points ⋮ Bootstrapping monodromy defects in the Wess-Zumino model

Cites Work

• Bootstrapping the \(O\)(\(N\) ) vector models
• Comments on operators with large spin
• The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points
• The analytic bootstrap and AdS superhorizon locality
• Bounding scalar operator dimensions in 4D CFT
• Conformal partial waves and the operator product expansion
• Critical phenomena and renormalization-group theory
• An algebraic approach to the analytic bootstrap
• Mellin space bootstrap for global symmetry
• Higher spin currents in the critical \(O(N)\) vector model at \(1/N^2\)
• Analyticity in spin in conformal theories
• Solving CFTs with weakly broken higher spin symmetry
• The analytic bootstrap in fermionic CFTs
• Simplifying large spin bootstrap in Mellin space
• Perturbative four-point functions from the analytic conformal bootstrap
• Unitarity and the holographic S-matrix
• Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
• Revisiting the dilatation operator of the Wilson-Fisher fixed point
• Anomalous dimensions of high-spin operators beyond the leading order
• A spacetime derivation of the Lorentzian OPE inversion formula
• Taming the \(\epsilon\)-expansion with large spin perturbation theory
• Large spin systematics in CFT
• Bootstrapping the \(O\)(\(N\)) archipelago
• On ${C}_{J}$ and ${C}_{T}$ in the Gross–Neveu andO(N) models
• HARMONIC POLYLOGARITHMS
• The $\epsilon $-expansion from conformal field theory
• Conformal four point functions and the operator product expansion

This page was built for publication: Critical O(N) model to orderϵ⁴from analytic bootstrap