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

DOI10.1007/S10955-019-02411-3zbMath1459.81098arXiv1907.09981OpenAlexW3098518635WikidataQ126868410 ScholiaQ126868410MaRDI QIDQ2283164

Gonzalo De Polsi, M. Tissier, Nicolás Wschebor

Publication date: 30 December 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09981

zbMATH Keywords

critical phenomenaconformal symmetry\(O(N)\) model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (4)

A structural test for the conformal invariance of the critical 3d Ising model ⋮ The critical \(O(N)\) CFT: methods and conformal data ⋮ The nonperturbative functional renormalization group and its applications ⋮ Scale without conformal invariance in membrane theory

Uses Software

• SDPB

Cites Work

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• Conformal invariance in the long-range Ising model
• Bootstrapping the \(O\)(\(N\) ) vector models
• The \(a\)-theorem and the asymptotics of 4D quantum field theory
• A new method to solve the non-perturbative renormalization group equations
• Bounding scalar operator dimensions in 4D CFT
• Derivative expansion of the exact renormalization group.
• Infinite conformal symmetry in two-dimensional quantum field theory
• Quantum field theory in the large \(N\) limit: a review
• Non-perturbative renormalization flow in quantum field theory and statistical physics
• Scale invariance, conformality, and generalized free fields
• Precision islands in the Ising and \(O(N)\) models
• Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
• Scale and Möbius covariance in two-dimensional Haag-Kastler net
• A structural test for the conformal invariance of the critical 3d Ising model
• The Jost-Schroer theorem for zero-mass fields
• On scale and conformal invariance in four dimensions
• Bootstrapping the \(O\)(\(N\)) archipelago
• THE EXACT RENORMALIZATION GROUP AND APPROXIMATE SOLUTIONS
• An Introduction to the Nonperturbative Renormalization Group
• Scale-invariant breaking of conformal symmetry
• A conformal fixed-point equation for the effective average action

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