Action principle for OPE

DOI10.1016/j.nuclphysb.2017.11.013zbMath1380.81187arXiv1710.05601OpenAlexW2765524615MaRDI QIDQ1695958

Stefan Hollands

Publication date: 14 February 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05601

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Constructive quantum field theory (81T08) Renormalization group methods applied to problems in quantum field theory (81T17) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (11)

Renormalization of Galilean electrodynamics ⋮ Conformal manifolds with boundaries or defects ⋮ Local and covariant flow relations for OPE coefficients in Lorentzian spacetimes ⋮ Holographic 3d \(\mathcal{N} = 1\) conformal manifolds ⋮ Constructing CFTs from AdS flows ⋮ On higher-spin points and infinite distances in conformal manifolds ⋮ Conformal four-point correlation functions from the operator product expansion ⋮ Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems ⋮ Decoding a three-dimensional conformal manifold ⋮ Recursive construction of the operator product expansion in curved space ⋮ New methods for conformal correlation functions

Cites Work

• The operator product expansion converges in massless \(\varphi_4^4\)-theory
• EPFL lectures on conformal field theory in \(D \geq 3\) dimensions
• The operator product expansion converges in perturbative field theory
• The renormalization group according to Balaban. III: Convergence
• Axiomatic quantum field theory in terms of operator product expansions: general framework, and perturbation theory via Hochschild cohomology
• Axiomatic quantum field theory in curved spacetime
• A renormalizable field theory: The massive Gross-Neveu model in two dimensions
• Radial expansion for spinning conformal blocks
• Harmony of spinning conformal blocks
• On non-supersymmetric conformal manifolds: field theory and holography
• Casimir recursion relations for general conformal blocks
• Weight shifting operators and conformal blocks
• Counting conformal correlators
• Conformal manifolds: ODEs from OPEs
• Perturbative renormalization of composite operators via flow equations. II: Short distance expansion
• All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator
• Recursive construction of operator product expansion coefficients
• Spinning conformal blocks
• Full field algebras
• THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS
• All-order bounds for correlation functions of gauge-invariant operators in Yang-Mills theory
• Associativity of the operator product expansion
• Renormalization of SU(2) Yang–Mills theory with flow equations
• Operator product expansion algebra

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