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The Sorkin-Johnston State in a Patch of the Trousers Spacetime

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arxiv 1609.03573 v2 pith:PGQTOPSB submitted 2016-09-12 gr-qc hep-th

Michel Buck , Fay Dowker , Ian Jubb , Rafael Sorkin This is my paper · ORCID
classification gr-qchep-th
keywords grouppatchsorkin-johnstonconeenergypreviousresultsspacetime
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abstract

A quantum scalar field in a patch of a fixed, topology-changing, $1+1$ dimensional "trousers" spacetime is studied using the Sorkin-Johnston formalism. The isometry group of the patch is the dihedral group, the symmetry group of the square. The theory is shown to be pathological in a way that can be interpreted as the topology change giving rise to a divergent energy, in agreement with previous results. In contrast to previous results, it is shown that the infinite energy is localised not only on the future light cone of the topology changing singularity, but also on the past cone, due to the time reversal symmetry of the Sorkin-Johnston state.

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Cited by 1 Pith paper

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  1. Lorentzian angles and trigonometry including lightlike vectors

    gr-qc 2019-08 conditional novelty 7.0 of 10

    The paper constructs additive Lorentzian angles for null vectors and proves a simplicial Lorentzian Gauss-Bonnet theorem.

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