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Fermion fields in spacetime
Phys. Rev. D 45, 697 – Published 15 January, 1992
DOI: https://doi.org/10.1103/PhysRevD.45.697
Abstract
Fermion fields in spacetime are discussed. By the path-integral formulation of quantum field theory, we show that the (zero-temperature) Green's functions for Dirac fields on the Euclidean section in spacetime are equal to the imaginary-time thermal Green's functions in Minkowski spacetime, and that the (zero-temperature) Green's functions on the Lorentzian section in spacetime correspond to the real-time thermal Green's functions in Minkowski spacetime. The antiperiodicity of fermion fields in spacetime originates from Lorentz transformation properties of the fields.
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