Gauge theories, the holonomy operator, and the Riemann–Hilbert problem

DOI10.1063/1.527254zbMath0623.35062OpenAlexW2078503557MaRDI QIDQ3760993

Ezra T. Newman

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527254

zbMATH Keywords

Riemann-Hilbert problemMinkowski spaceEinstein equationssine-Gordon equationself-dual Yang-Mills fieldsholonomy operatornonlinear integrable systems

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items

On conformal supergravity and harmonic superspace, The O(3,1) Yang-Mills equations and the Einstein equations, Gauge field geometry from complex and harmonic analyticities. I: Kähler and self-dual Yang-Mills cases, On the density of the Ward Ansätze in the space of anti-self-dual Yang Mills solutions, Quadratures for self-dual GL(2,C) Yang–Mills fields

Cites Work

• Nonlinear gravitons and curved twistor theory
• The metric and curvature properties of H -space
• On self-dual gauge fields