The Higgs phase of QCD

doi:10.1016/0370-2693(90)90430-E

Physics Letters B

Volume 240, Issues 1–2, 19 April 1990, Pages 183-187

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Abstract

The local potential for the temporal component of the gauge field is computed in finite temperature SU(2) Yang-Mills theory in one-loop order. The renormalized potential has minima at nonzero values of the gauge field indicating that the three dimensional effective theory for the static modes is in the Higgs phase at high temperature.

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Cited by (15)

Towards a theory of the semi-Quark Gluon Plasma
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I give a general overview of the theory of the Quark-Gluon Plasma (QGP) about the temperature for deconfinement, where the theory is only partially deconfined. I review three topics relevant to study of such a “semi”-QGP. The first is the semi-classical computation of the spatial 't Hooft loop. This is equivalent to computing the interface tension between two $Z (N)$ domains, and indicates how the confined phase is approached from high temperature. The second topic is effective matrix models of Polyakov loops. The last topic is the computation of hard thermal loops in the presence of a spatial 't Hooft loop, as a way of probing the real time properties of the semi-QGP.
Screening masses of hot SU(2) gauge theory from the 3d adjoint Higgs model
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We study the Landau gauge propagators of the lattice SU(2) 3d adjoint Higgs model, considered as an effective theory of high temperature 4d SU(2) gauge theory. From the long distance behaviour of the propagators we extract the screening masses. The propagators are studied both in the symmetric and the broken phases of the 3d Higgs model. It is shown that the pole masses extracted from the propagators in the symmetric phase agree well with the screening masses obtained recently in finite temperature SU(2) theory, while propagators measured in the broken phase show quite a different behaviour. This suggest that the symmetric phase of the 3d model corresponds to the deconfined phase of the 4d SU(2) gauge theory. The relation of the propagator masses to the masses extracted from gauge invariant correlators and the mass gap of pure 3d SU(2) gauge theory is also discussed.
3d SU(N) + adjoint Higgs theory and finite-temperature QCD
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We investigate the relationship between the high-temperature deconfined phase of the SU(2) gauge theory to the phases of the corresponding three-dimensional adjoint Higgs model. For various temperatures we simulate the effective theory in a neighbourhood of the physical states, that is of those values of the coupling constants that describe the infrared behaviour of the four-dimensional theory and which have been calculated by applying dimensional reduction techniques. We show that the physical points belong to the confined phase of the SU(2) adjoint Higgs model.
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^☆: This work is supported in part by funds provided by the US Department of Energy (DOE) under contract #DE-AC02-76ER03069.

¹: Supported in part by the Alfred P. Sloan Foundation NAd the NSF-PYI grant PHY-8958079.

²: On leave of absence from Central Research Institute For Physics, H-1525 Budapest, Hungary.

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The Higgs phase of QCD☆

Abstract

Phys. Lett. B

Phys. Lett. B

Phys. Lett. B

Phys. Lett. B

Z. Phys. C

Nucl. Phys. A

Brookhaven report BNL-40440

Phys. Lett. B

Phys. Rev. Lett.