2001/01/29 by R. Medina, Ricardo Medina, Medina, R.
Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometry #High Energy Physics - Theory (hep-th) #Inertial frame of reference #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Observer (physics) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Relativity and Gravitational Theory #Riemann hypothesis #Scalar (mathematics) #Scalar field #Theoretical physics #Thermal #Thermodynamics #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.gr-qc/0101110
12 pages
openalex publication_date 2001/01/29 · arxiv created 2001/02/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Thermal fluctuations of a massive scalar field in the Rindler wedge have been recently obtained. As a by product, the Minkowski vacuum fluctuations seen by a uniformly accelerated observer have been determined and confronted with the corresponding Minkowski thermal fluctuations of the same field, seen by an inertial observer. Since some of the calculations of this previous work have not been detailed on it, and they present some important subtleties, they are explicitly done here. These subtleties have to do with the leading order behaviour of certain parameter dependent integrals. Some of the leading order expansions are derived using the Riemann-Lebesgue lemma.