η-ξ时空中费米场的热性质

Thermal properties of fermion fields in η-ξspacetime

指出了η-ξ时空中的费米场对Ｍｉｎｋｏｗｓｋｉ观测者具有热性质，费米场热力学格林函数的虚时反周期边界条件来源于旋量的洛仑兹变换性质。证明了η-ξ时空欧氏截面上的真空格林函数等于Ｍｉｎｋｏｗｓｋｉ时空中的虚时热力学格林函数，而η－ξ时空洛仑兹截面上的真空格林函数对应于Ｍｉｎｋｏｗｓｋｉ时空中的实时间热力学格林函数。

Fermion fields in η-ξ spacetime are discussed. It is shown that the zero-temperature Green's functions for Dirac fields on the Euclidean section in η-ξ spacetime are equal to the imaginary-time thermal Green's functions in Minkowski spacetime, and that the zero-temperature Green's func- tions on the Lorentzian section in η-ξ spacetime correspond to the real-thoe thermal Green's func- tions in Minkowski spacetime. The antiperiodicity of fermion fields in η-ξ spacetime originates from Lorentz transformation properties of spion fields.