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Coupling the Sorkin-Johnston State to Gravity

arXiv:1408.3446 · doi:10.1103/PhysRevD.90.084036

Abstract

We consider the dynamics of the Sorkin-Johnston (SJ) state for a massless scalar field in two dimensions. We conduct a study of the renormalized stress-tensor by a subtraction procedure, and compare the results with those of the conformal vacuum, with an important contribution from correction term. We find a large trace anomaly and compute backreaction effects to two dimensional (Liouville) gravity. We find a natural interpretation for the mirror behavior of the SJ state described in previous works.

8 pages, 1 figure. RevTeX 4.1