A PDE Construction of the Euclidean Φ34 Quantum Field Theory

We present a new construction of the Euclidean Φ 4 quantum field theory on R 3 based on PDE arguments. More precisely, we consider an approximation of the stochastic quantization equation on R 3 defined on a periodic lattice of mesh size ε and side length M . We introduce a new renormalized energy m...

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Bibliographic Details
Published in:Communications in mathematical physics 2021-05, Vol.384 (1), p.1-75
Main Authors: Gubinelli, Massimiliano, Hofmanová, Martina
Format: Article
Language:English
Subjects:
Axioms
Classical and Quantum Gravitation
Clustering
Complex Systems
Energy methods
Euclidean geometry
Field theory
Finite element method
Invariance
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum field theory
Quantum Physics
Quantum theory
Relativity Theory
Theoretical
Tightness
Online Access:Get full text
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