Energy and momentum density of thermal gluon oscillations

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, RevTex, no figures

Scientific paper

10.1006/aphy.1998.5886

In the exact propagator for finite temperature gluons the location of the transverse and longitudinal poles in the gluon propagator are unknown functions of wave vector: $\omega_{T}(k)$ and $\omega_{L}(k)$. The residues of the poles, also unknown, fix the normalization of the one gluon vector potential and thus of the field strength. The naive energy density $\pol{E}\cdot\pol{D}+\pol{B}\cdot\pol{H}$ is not correct because of dispersion. By keeping the modulations due to the source currents the energy density is shown to be $\omega_{T}/V$ and $\omega_{L}/V$ regardless of the functional form of $\omega_{T}(k)$ and $\omega_{L}(k)$. The momentum density is $k/V$. The resulting energy-momentum tensor is not symmetric.

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