A convergent lattice approximation for nonlinear electromagnetic fields in four dimensions

DOI10.1063/1.530079zbMath0780.60105OpenAlexW1997566071MaRDI QIDQ3141338

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Publication date: 26 January 1994

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

Full work available at URL: https://doi.org/10.1063/1.530079

zbMATH Keywords

electromagnetic Euclidean potential fieldelectromagnetic quantum fieldsquaternionic Cauchy-Riemann equation

Mathematics Subject Classification ID

Model quantum field theories (81T10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other physical applications of random processes (60K40)

Related Items

CONVOLUTED GENERALIZED WHITE NOISE, SCHWINGER FUNCTIONS AND THEIR ANALYTIC CONTINUATION TO WIGHTMAN FUNCTIONS ⋮ Euclidean random fields obtained by convolution from generalized white noise ⋮ Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field ⋮ 4D LOCAL QUANTUM FIELD THEORY MODELS FROM COVARIANT STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS I: GENERALITIES

Cites Work

• Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds
• Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation
• Convergence of \(\text{U}(1)_ 3\) lattice gauge theory to its continuum limit
• Convergence of the \(U(1)_ 4\) lattice gauge theory to its continuum limit
• Construction of quantum fields from Markoff fields
• On the possibility of confinement caused by nonlinear electromagnetic interaction
• Foundations of the new field theory