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Euclidean scalar and spinor Green's functions in Rindler space

B. Linet
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Abstract

In Rindler space, we consider the Feynman Green's functions associated with either the Fulling-Rindler vacuum or the Minkowski vacuum. In Euclidean field theory, they becomes respectively the Euclidean Green's functions $G_{\infty}$ and $G_{\2π}$, whose we give different suitable forms. In the case of the massive spin-$\frac{1}{2}$ field, we determine also the Euclidean spinor Green's function $S_{\infty}$ and $S_{\2π}$ in different suitable forms. In both cases for massless fields in four dimensions, we compute the vacuum expectation value of the energy-momentum tensor relative to the Rindler observer.

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B. Linet. 1995-05-19. Euclidean scalar and spinor Green's functions in Rindler space. https://arxiv.org/abs/gr-qc/9505033

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