The thermal Wightman functions for free, massless particles of spin 0, 1/2,
1, 3/2, and 2 are computed directly in coordinate space by solving the
appropriate differential equation and imposing the Kubo-Martin-Schwinger
condition. The solutions are valid for real, imaginary, or complex time. The
Wightman functions for spin 1 gauge bosons and for spin 2 gravitons are
directly related to the fundamental functions for spin 0. The Wightman
functions for spin 3/2 gravitinos is directly related to that for spin 1/2
fermions. Calculations for spin 1, 3/2, and 2 are done in covariant gauges. In
the deep space-like region the Wightman functions for bosons fall like T/r
whereas those for the fermions fall exponentially. In the deep time-like region
all the Wightman functions fall exponentially.Comment: 8 pages, RevTex twocolum
