Euclidean scalar and spinor Green's functions in Rindler space

Details Euclidean scalar and spinor Green's functions in Rindler space Euclidean scalar and spinor Green's functions in Rindler space

1995-05-19

arxiv.org/abs/gr-qc/9505033v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, latex, no figures

Scientific paper

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 $G_{\2\pi}$, 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 $S_{\2\pi}$ 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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