Gluon plasma frequency: The Next-to-leading order term
Jun, 199341 pages
Published in:
- Nucl.Phys.B 413 (1994) 353-395
e-Print:
- hep-ph/9306298 [hep-ph]
Report number:
- ITP-UH-8-93,
- DESY-93-080
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Abstract:
The longitudinal-electric oscillations of the hot gluon system are studied beyond the well known leading order term at high temperature and small coupling . The coefficient in is calculated, where is the long-wavelength limit of the frequency spectrum, the number of colours and . 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 coefficient 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 under study. The minus sign in our numerical result 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.- gluon: plasma
- plasma: oscillation
- finite temperature
- Feynman graph: higher-order
- gluon: propagator
- bibliography
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