Auxiliary field loop expansion of the effective action for a class of stochastic partial differential equations

DOI10.1016/j.aop.2015.12.007zbMath1342.35460arXiv1410.8086OpenAlexW2542539144MaRDI QIDQ530881

Fred Cooper, John F. Dawson

Publication date: 1 August 2016

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

Full work available at URL: https://arxiv.org/abs/1410.8086

zbMATH Keywords

path integraleffective actionstochastic PDEs (SPDEs)auxiliary field loop expansion

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Path integrals in quantum mechanics (81S40) Symmetry breaking in quantum theory (81R40) Renormalization group methods applied to problems in quantum field theory (81T17) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (2)

Path integral methods for the dynamics of stochastic and disordered systems ⋮ The Kardar–Parisi–Zhang model of a random kinetic growth: effects of a randomly moving medium

Cites Work

• Unnamed Item
• The Kardar-Parisi-Zhang equation and its matrix generalization
• Quantum field theory techniques in graphical enumeration
• Quantum field theory in the large \(N\) limit: a review
• Effective action for stochastic partial differential equations
• Field Theory of Non-Equilibrium Systems
• Theory of the weakly interacting Bose gas
• The structure of isotropic turbulence at very high Reynolds numbers
• Dynamic Scaling of Growing Interfaces
• Nonequilibrium Quantum Field Theory
• Generalizations of the Kardar-Parisi-Zhang equation
• Applications of field-theoretic renormalization group methods to reaction–diffusion problems
• Fluctuations and Irreversible Processes

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