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Two formalisms, one renormalized stress-energy tensor
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Two formalisms, one renormalized stress-energy tensor
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We explicitly compare the structure of the renormalized stress-energy tensor (RSET) of a massless scalar field in a (1+1) curved spacetime as obtained by two different strategies: normal-mode construction of the field operator and one-loop effective action. We pay special attention to where and how it is encoded the information related to the choice of vacuum state in both formalisms. By establishing a clear translation map between both procedures, we show that these two potentially different RSET are actually equal, when using vacuum-state choices related by this map. One specific aim of the analysis is to facilitate the comparison of results regarding semiclassical effects in gravitational collapse as obtained within these different formalisms.
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Cited by 1 Pith paper
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Semiclassical regularity of compact trapped regions: From dynamical horizons to inner extremality
In finite-lifetime dynamical geometries the in-vacuum RSET stays finite at the inner horizon, growing exponentially for non-extremal cases but only as a power law for inner-extremal ones.
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