Scaling dimensions in \(\mathrm{QED}_{3}\) from the \(\epsilon\)-expansion

DOI10.1007/JHEP12(2017)054zbMath1383.81203arXiv1708.03740OpenAlexW2952509707MaRDI QIDQ1707718

Lorenzo Di Pietro, Emmanuel Stamou

Publication date: 3 April 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03740

zbMATH Keywords

conformal field theoryrenormalization groupfield theories in lower dimensions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Electromagnetic interaction; quantum electrodynamics (81V10) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items

Phases of \( \mathcal{N}=1 \) theories in 2 + 1 dimensions, Emergent supersymmetry at large \(N\), Simplifying large spin bootstrap in Mellin space, Towards a bootstrap approach to higher orders of epsilon expansion, Conformal field theory and the hot phase of three-dimensional U(1) gauge theory, 3d abelian gauge theories at the boundary

Uses Software

• FORM

Cites Work

• Unnamed Item
• Entanglement entropy of 3-d conformal gauge theories with many flavors
• FORM version 4.0
• RG flows and bifurcations
• The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points
• A Mellin space approach to the conformal bootstrap
• Notes on spinning operators in fermionic CFT
• Particle-vortex duality in topological insulators and superconductors
• Beta functions and anomalous dimensions up to three loops
• The Chiral Limit of Non-compact QED\(_3\)
• Level/rank duality and Chern-Simons-matter theories
• \(\epsilon\)-expansion in the Gross-Neveu
• Anomalous dimensions in CFT with weakly broken higher spin symmetry
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Classical equation of motion and anomalous dimensions at leading order
• Towards bootstrapping \(QED_{3}\)
• Anomalous dimensions of scalar operators in \(\mathrm{QED}_{3}\)
• On \(C_J\) and \(C_T\) in conformal QED
• More abelian dualities in 2 + 1 dimensions
• Leading CFT constraints on multi-critical models in \(d > 2\)
• Comments on global symmetries, anomalies, and duality in \((2+1)d\)
• A duality web in \(2+1\) dimensions and condensed matter physics
• Mellin space bootstrap for global symmetry
• Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT
• Solving CFTs with weakly broken higher spin symmetry
• A symmetry breaking scenario for \({\mathrm{QCD}}_{3}\)
• Automatic Feynman graph generation
• Revisiting the dilatation operator of the Wilson-Fisher fixed point
• \(\epsilon\)-expansions near three dimensions from conformal field theory
• On critical exponents without Feynman diagrams
• On (Un)Broken Higher-Spin Symmetry in Vector Models
• 𝜖-expansion in critical ϕ3-theory on real projective space from conformal field theory
• Conformal QED_d,F-theorem and theϵexpansion
• CONFORMALITY LOST
• The ϵ-expansion of the codimension two twist defect from conformal field theory
• A scaling theory for the long-range to short-range crossover and an infrared duality
• The $\epsilon $-expansion from conformal field theory