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Green Functions in Coordinate Space for Gauge Bosons at Finite Temperature

H. Arthur Weldon
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Abstract

The thermal Green function $D^{μν}(x)$ for free, massless gauge bosons is computed exactly in a variety of gauges (Feynman, covariant, Coulomb, and Landshoff-Rebhan). At large temporal separations it falls exponentially. At large spatial separations it falls like $T/r$. In contrast, the zero-temperature propagator falls quadratically in both regimes, being proportional to $1/x^{2}$.

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H. Arthur Weldon. 2000-07-07. Green Functions in Coordinate Space for Gauge Bosons at Finite Temperature. https://doi.org/10.1103/physrevd.62.056003

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