Abstract
The longitudinal-electric oscillations of the hot gluon system are studied beyond the well known leading order term at high temperature T and small coupling g. The coefficient {eta} in {omega}{sup 2} = m{sup 2}(1 + {eta}g{radical}N) is calculated, where {omega} triple bond {omega}( vector q = 0) is the long-wavelength limit of the frequency spectrum, N the number or colours and m{sup 2} = g{sup 2}NT{sup 2}/9. In the course of this, for the real part of the gluon self-energy, the Braaten-Pisarski resummation programme is found to work well in all details. The coeffcient {eta} is explicitly seen to be gauge independent within the class of covariant gauges. Infrared singularities cancel as well as collinear singularities in the two-loop diagrams with both inner momenta hard. However, as it turns out, none of these two-loop contributions reaches the relative order O(g) under study. The minus sign in our numerical result {eta} = -.53 is in accord with the intuitive picture that the studied mode might soften with increasing coupling (lower temperature) until a phase transition is reached at zero-frequency. The minus sign thus exhibits the `glue` effect for the first time in a dynamical quantity of hot QCD. (orig.)
Schulz, H
[1]
- Hannover Univ. (Germany). Inst. fuer Theoretische Physik
Citation Formats
Schulz, H.
Gluon plasma frequency - the next-to-leading order term.
Germany: N. p.,
1993.
Web.
Schulz, H.
Gluon plasma frequency - the next-to-leading order term.
Germany.
Schulz, H.
1993.
"Gluon plasma frequency - the next-to-leading order term."
Germany.
@misc{etde_10139998,
title = {Gluon plasma frequency - the next-to-leading order term}
author = {Schulz, H}
abstractNote = {The longitudinal-electric oscillations of the hot gluon system are studied beyond the well known leading order term at high temperature T and small coupling g. The coefficient {eta} in {omega}{sup 2} = m{sup 2}(1 + {eta}g{radical}N) is calculated, where {omega} triple bond {omega}( vector q = 0) is the long-wavelength limit of the frequency spectrum, N the number or colours and m{sup 2} = g{sup 2}NT{sup 2}/9. In the course of this, for the real part of the gluon self-energy, the Braaten-Pisarski resummation programme is found to work well in all details. The coeffcient {eta} is explicitly seen to be gauge independent within the class of covariant gauges. Infrared singularities cancel as well as collinear singularities in the two-loop diagrams with both inner momenta hard. However, as it turns out, none of these two-loop contributions reaches the relative order O(g) under study. The minus sign in our numerical result {eta} = -.53 is in accord with the intuitive picture that the studied mode might soften with increasing coupling (lower temperature) until a phase transition is reached at zero-frequency. The minus sign thus exhibits the `glue` effect for the first time in a dynamical quantity of hot QCD. (orig.)}
place = {Germany}
year = {1993}
month = {Jun}
}
title = {Gluon plasma frequency - the next-to-leading order term}
author = {Schulz, H}
abstractNote = {The longitudinal-electric oscillations of the hot gluon system are studied beyond the well known leading order term at high temperature T and small coupling g. The coefficient {eta} in {omega}{sup 2} = m{sup 2}(1 + {eta}g{radical}N) is calculated, where {omega} triple bond {omega}( vector q = 0) is the long-wavelength limit of the frequency spectrum, N the number or colours and m{sup 2} = g{sup 2}NT{sup 2}/9. In the course of this, for the real part of the gluon self-energy, the Braaten-Pisarski resummation programme is found to work well in all details. The coeffcient {eta} is explicitly seen to be gauge independent within the class of covariant gauges. Infrared singularities cancel as well as collinear singularities in the two-loop diagrams with both inner momenta hard. However, as it turns out, none of these two-loop contributions reaches the relative order O(g) under study. The minus sign in our numerical result {eta} = -.53 is in accord with the intuitive picture that the studied mode might soften with increasing coupling (lower temperature) until a phase transition is reached at zero-frequency. The minus sign thus exhibits the `glue` effect for the first time in a dynamical quantity of hot QCD. (orig.)}
place = {Germany}
year = {1993}
month = {Jun}
}