On a Yang–Mills Type Functional

Cătălin Gherghe

University of Bucharest, Faculty of Mathematics and Computer Science, Academiei 14, Bucharest, Romania

Abstract: We study a functional that derives from the classical Yang–Mills functional and Born–Infeld theory. We establish its first variation formula and prove the existence of critical points. We also obtain the second variation formula.

Keywords: curvature; vector bundle; Yang–Mills connections; variations.

MSC: 58E15; 81T13; 53C07

Received: November 13, 2018; in final form February 27, 2019; Published online March 21, 2019

Language: English

DOI: 10.3842/SIGMA.2019.022

Bibliographic databases:

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ArXiv: 1811.01517