Fetching the paper…

Reading the bibliography…

Confinement and deconfinement for any gauge group from dyons viewpoint · Around

2010

Confinement and deconfinement for any gauge group from dyons viewpoint

Diakonov, Dmitri, Petrov, Victor

Original
PDF
Post on X

Understand

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.

Built on

N. Bourbaki, Groupes et algèbres de Lie
1968
Earlier work this paper cites.
E.B. Bogomolny, Sov. J. Nucl. Phys. 24
1975
Earlier work this paper cites.
D.J. Gross, R.D. Pisarski and L.G. Yaffe, Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
N. Weiss, Phys. Rev. D 24
1982
Earlier work this paper cites.
T.C. Kraan and P. van Baal, Phys. Lett. B 428
1998
Earlier work this paper cites.
K. Lee and P. Yi, Phys. Rev. D 56
1998
Earlier work this paper cites.

Similar

T.C. Kraan, Commun. Math. Phys. 212
2000
Cited alongside, same era.
N.M. Davies, T.J. Hollowood and V.V. Khoze, J. Math. Phys. 44
2003
Cited alongside, same era.
D. Diakonov and M. Oswald, Phys. Rev. D 70
2004
Cited alongside, same era.
K. Holland, M. Pepe and U.J. Wiese, Nucl. Phys. B 694
Original
2004
Cited alongside, same era.
D. Diakonov and N. Gromov, Phys. Rev. D72
2005
Cited alongside, same era.

Then

D. Diakonov and V. Petrov, Phys. Rev. D 76
2007
Later among the works it cites.
D. Diakonov, N. Gromov, V. Petrov and S. Slizovskiy, Phys. Rev. D 70
2007
Later among the works it cites.
D. Diakonov and V. Petrov, AIP Conf. Proc. 1134
2009
Later among the works it cites.
D. Diakonov, Nucl. Phys. Proc. Suppl. 195
2009
Later among the works it cites.
J. Greensite, K. Langfeld, S. Olejnik, H. Reinhardt and T. Tok, Phys. Rev. D 75
2009
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…