Coupling the Sorkin-Johnston State to Gravity
Nicol\'as Avil\'an, Andr\'es F. Reyes-Lega, Bruno Carneiro da Cunha
TL;DR
This paper investigates the properties of the Sorkin-Johnston state for a massless scalar field in two dimensions, analyzing its stress-tensor, trace anomaly, and backreaction effects within 2D gravity, revealing its mirror behavior.
Contribution
It introduces a detailed analysis of the SJ state's stress-tensor and backreaction effects, providing new insights into its behavior in 2D gravity and its relation to the conformal vacuum.
Findings
Large trace anomaly observed in the SJ state.
Backreaction effects computed within 2D (Liouville) gravity.
Natural interpretation of the mirror behavior of the SJ state.
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.
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