Energy in Yang-Mills on a Riemann Surface
Fine, Dana Stanley
arXiv, 0002072 / Harvested from arXiv
Sengupta's lower bound for the Yang-Mills action on smooth connections on a bundle over a Riemann surface generalizes to the space of connections whose action is finite. In this larger space the inequality can always be saturated. The Yang-Mills critical sets correspond to critical sets of the energy action on a space of paths. This may shed light on Atiyah and Bott's conjecture concerning Morse theory for the space of connections modulo gauge transformations.
Publié le : 2000-02-10
Classification:  Mathematics - Differential Geometry,  High Energy Physics - Theory,  Mathematical Physics,  81T13
@article{0002072,
     author = {Fine, Dana Stanley},
     title = {Energy in Yang-Mills on a Riemann Surface},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002072}
}
Fine, Dana Stanley. Energy in Yang-Mills on a Riemann Surface. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002072/