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Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

We develop the Hadamard renormalization of the stress-energy tensor for a massive scalar field theory defined on a general spacetime of arbitrary dimension. Our formalism could be helpful in treating some aspects of the quantum physics of extra spatial dimensions. More precisely, for spacetime dimension up to six, we explicitly describe the Hadamard renormalization procedure and for spacetime dimension from seven to eleven, we provide the framework permitting the interested reader to perform this procedure explicitly in a given spacetime. We complete our study (i) by considering the ambiguities of the Hadamard renormalization of the stress-energy tensor and the corresponding ambiguities for the trace anomaly, (ii) by providing the expressions of the gravitational counterterms involved in the renormalization process (iii) by discussing the connections between Hadamard renormalization and renormalization in the effective action. All our results are expanded on standard bases for Riemann polynomials constructed from group theoretical considerations and thus given on irreducible forms.

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background 2

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fields

gr-qc 2

years

2026 1 2025 1

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UNVERDICTED 2

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background 1

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background 1

representative citing papers

Unveiling horizons in quantum critical collapse

gr-qc · 2025-09-03 · unverdicted · novelty 6.0 · 2 refs

Semiclassical one-loop analysis of solvable near-critical collapse solutions shows quantum corrections selecting a Boulware-like state and producing a growing mode that yields a finite mass gap and a transition to Type I behavior, enforcing weak cosmic censorship.

citing papers explorer

Showing 2 of 2 citing papers.

  • Stress-energy tensor of quantized scalar fields in thermal states on a zero-tidal wormhole gr-qc · 2026-06-01 · unverdicted · none · ref 27 · internal anchor

    Stress-energy tensor of quantized massive scalar fields in thermal states on zero-tidal wormholes satisfies Morris-Thorne conditions only for bounded masses and temperatures below a mass-dependent critical value.

  • Unveiling horizons in quantum critical collapse gr-qc · 2025-09-03 · unverdicted · none · ref 245 · 2 links · internal anchor

    Semiclassical one-loop analysis of solvable near-critical collapse solutions shows quantum corrections selecting a Boulware-like state and producing a growing mode that yields a finite mass gap and a transition to Type I behavior, enforcing weak cosmic censorship.