Munteanu, Gheorghe; Iordăchiescu, Bianca Gauge complex field theory. (English) Zbl 1111.53022 Balkan J. Geom. Appl. 10, No. 2, 67-75 (2005). Summary: On the total space of a computer \(G\)-vector bundle we study the gauge transformations. A gauge complex nonlinear connection determined by a gauge invariant Lagrangian plays a special role in our approach. The associated Chern-Lagrange and complex Bott connections are gauge invariant too. The complex field equations are studied with respect to a gauge invariant vertical connection, particularly with respect to the complex Bott connection. Cited in 1 Document MSC: 53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) 53C05 Connections (general theory) 53C56 Other complex differential geometry 81T99 Quantum field theory; related classical field theories Keywords:gauge transformation; complex Lagrangian PDFBibTeX XMLCite \textit{G. Munteanu} and \textit{B. Iordăchiescu}, Balkan J. Geom. Appl. 10, No. 2, 67--75 (2005; Zbl 1111.53022) Full Text: EuDML