A comment on Schwinger functions in Euclidean Rindler space

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In this paper, we investigate the generalization to d dimensions and non-massive as well as massive scalar fields of two results in Euclidean field theory for the Wick-rotated Rindler space. Firstly, we generalize an expected result obtained by Christensen and Duff (1978 Nucl. Phys. B 146 11). Secondly, we generalize a result obtained by Lee (1986 Nucl. Phys. B 264 437) which says that the finite-temperature Schwinger function in Euclidean Rindler space is not equal to the T = 0 Schwinger function in Cartesian coordinates for a non-massive scalar field in two dimensions. We show that in the general case, we get the same expected result as in the literature (the equality between these two Schwinger functions). We interpret these extra terms obtained by Lee as caused by the infrared divergences of the two-dimensional non-massive field theory. Finally, we discuss briefly the introduction of interactions to analyze the Feynman rules in field theory described by accelerated observers.

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