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Quantum field theory with classical sources—linearized quantum gravity

2018/06/19 by Bo-Sture Skagerstam, Bo-Sture K. Skagerstam, Karl-Erik Eriksson +3 · 1 citation
Physics and Astronomy · #Canonical quantum gravity #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #General relativity #Gravitation #Graviton #Introduction to gauge theory #Linearized gravity #Loop quantum gravity #Minkowski space #Physics #Pulsars and Gravitational Waves Research #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1088/1361-6382/aaf113

arxiv created 2018/06/19 · openalex publication_date 2018/11/15 · arxiv updated 2018/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract In a previous work (Skagerstam 2018 arXiv: 1801.09947v1 [quant-ph] ) and in terms of an exact quantum-mechanical framework, -independent causal and retarded expectation values of the second-quantized electro-magnetic fields in the Coulomb gauge were derived in the presence of a conserved classical electric current. The classical -independent Maxwell’s equations then naturally emerged. In the present work, we extend these considerations to linear gravitational quantum deviations around a flat Minkowski space-time in a Coulomb-like gauge. The emergence of the classical, causal, and properly retarded linearized classical theory of general relativity with a conserved classical energy–momentum tensor is then outlined. The quantum-mechanical framework also provides for a simple approach to classical quadrupole gravitational radiation of Einstein and microscopic spontaneous graviton emission and/or absorption processes.

Citations

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