Quantum fields and probability

DOI10.4171/176-1/4zbMath1402.81184arXiv1611.05240OpenAlexW4246185015MaRDI QIDQ1620842

Antti Kupiainen

Publication date: 14 November 2018

Full work available at URL: https://arxiv.org/abs/1611.05240

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Gravitational interaction in quantum theory (81V17) Axiomatic quantum field theory; operator algebras (81T05) Constructive quantum field theory (81T08)

Cites Work

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• Liouville quantum gravity on the Riemann sphere
• Renormalization group and stochastic PDEs
• Solving the KPZ equation
• Minisuperspace limit of the \(AdS_3\) WZNW model
• A theory of regularity structures
• Renormalization of generalized KPZ equation
• Infinite conformal symmetry in two-dimensional quantum field theory
• Axioms for Euclidean Green's functions. II
• Two- and three-point functions in Liouville theory
• Renormalizability of Liouville quantum field theory at the Seiberg bound
• Paracontrolled distributions and the 3-dimensional stochastic quantization equation
• Conformal bootstrap in Liouville field theory
• Nonlinear fluctuating hydrodynamics for anharmonic chains
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Log-correlated Gaussian Fields: An Overview

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