3,357 research outputs found
Confinement and deconfinement for any gauge group from dyons viewpoint
Basing on a semiclassical picture of dyons, we present a nonperturbative
model of a pure Yang--Mills theory at any temperatures, for an arbitrary simple
gauge group. We argue that at low temperatures dyons drive the Yang--Mills
system for all groups to a phase where the `eigenphases' of the Polyakov line
are, as a vector, proportional to the Weyl vector being the half sum of
positive roots. For most gauge groups it means confinement, in particular for
`quarks' in any N-ality nonzero representation of the SU(N) gauge group. At a
critical temperature there is a 1st order phase transition for all groups
(except SU(2) where the transition is 2nd order), characterized by a jump of
Polyakov lines, irrespectively of whether the gauge group has a nontrivial
center, or not.Comment: Plenary talk at Quark Confinement and Hadron Spectrum 2010 (Madrid,
Aug. 29 - Sep. 3, 2010), to be published in the Proceedings by the AI
Morava K-theory of twisted flag varieties
In the present article we prove some results about the Morava K-theory. In
particular, we construct an operation from the Morava K-theory to the Chow
theory analogous to the second Chern class for Grothendieck's K0-theory.
Furthermore, we investigate ordinary and equivariant oriented cohomology
theories in the sense of Levine-Morel of projective quadrics, and discuss the
Rost motives.Comment: 15 page
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