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We study inflationary cosmology and the late-time accelerated expansion ofthe universe in non-minimal Yang-Mills (YM) theory, in which the YM fieldcouples to a function of the scalar curvature. It is shown that power-lawinflation can be realized due to the non-minimal YM field-gravitationalcoupling which maybe caused by quantum corrections. Moreover, it isdemonstrated that both inflation and the late-time accelerated expansion of theuniverse can be realized in a modified YM-$F(R)$ gravity which is consistentwith solar system tests. Furthermore, it is shown that this result can berealized also in a non-minimal vector-$F(R)$ gravity. In addition, we considerthe duality of the non-minimal electromagnetic theory and that of thenon-minimal YM theory, and also discuss the cosmological reconstruction of theYM theory.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Inflationary cosmology and the late-time accelerated expansion of the  universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal  vector-$F(R)$ gravity