Thermal Green Functions in Coordinate Space for Massless Particles of any Spin

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

Mobility in a Wyoming Population of Speyeria Atlantis as Determined by Tagging (Lepidoptera: Nymphalidae)

Excerpt: In my study of Speyeria distribution (Moeck, 1957; Grey & Moeck, 1962; Grey, Moeck & Evans, 1963) it was found desirable to determine the degree of mobility of the individuals in a population of Speyeria atlantis (Edwards). For this study I selected an isolated population of atlantis along a tributary of Horse Creek on the eastern slope of the South Laramie Range, some 17 or 18 miles northwest of Laramie. The specimens along this tributary were dark and well silvered, closely approaching the typical appalachian form in the Black Hills. This colony, furthermore, was the only population of atlantis found in about four parallel tributaries of Horse Creek. By the term appalachian Grey and I refer to the parent stock of the species, ranging in the East from the Maritime Provinces to West Virginia and westward toward the Great Lakes