1997/06/26 by Valter Moretti, V. Moretti, Moretti, V.
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9706191
22 pages, latex, no figures
arxiv created 1997/06/26 · openalex publication_date 1997/06/26 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
A previously introduced method to renormalize the one-loop stress tensor and the one-loop vacuum fluctuations in a curved background by a direct local ζ-function approach is checked in some thermal and nonthermal cases. First the method is checked in the case of a conformally coupled massless field in the static Einstein universe where all hypotheses initially requested by the method hold true. Secondly, dropping the hypothesis of a closed manifold, the method is checked in the open static Einstein universe. Finally, the method is checked for a massless scalar field in the presence of a conical singularity in the Euclidean manifold (i.e. Rindler spacetimes/ large mass black hole manifold/cosmic string manifold). In all cases, a complete agreement with other approaches is found. Concerning the last case in particular, the method is proved to give rise to the stress tensor already got by the point-splitting approach for every coupling with the curvature regardless of the presence of the singular curvature. In the last case, comments on the measure employed in the path integral, the use of the optical manifold and the different approaches to renormalize the Hamiltonian are made.