2018/03/31 by Damiano Anselmi, Marco Piva · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Electron #Gravitation #Graviton #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Propagator #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Renormalization #Self-energy #Unitarity #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep05(2018)027
published as J. High Energ. Phys. 05 (2018) 27 · 20 pages, 1 figure; v2: minor changes, JHEP
openalex publication_date 2018/05/01 · arxiv created 2018/05/08 · arxiv updated 2018/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract A theory of quantum gravity has been recently proposed by means of a novel quantization prescription, which is able to turn the poles of the free propagators that are due to the higher derivatives into fakeons. The classical Lagrangian contains the cosmological term, the Hilbert term, √(-g)Rμ ν Rμ ν <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msqrt><mml:mrow><mml:mo>−</mml:mo><mml:mi>g</mml:mi></mml:mrow></mml:msqrt><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>μ</mml:mi><mml:mi>ν</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mi>R</mml:mi><mml:mrow><mml:mi>μ</mml:mi><mml:mi>ν</mml:mi></mml:mrow></mml:msup></mml:math> and √(-g)R2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msqrt><mml:mrow><mml:mo>−</mml:mo><mml:mi>g</mml:mi></mml:mrow></mml:msqrt><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> . In this paper, we compute the one-loop renormalization of the theory and the absorptive part of the graviton self energy. The results illustrate the mechanism that makes renormalizability compatible with unitarity. The fakeons disentangle the real part of the self energy from the imaginary part. The former obeys a renormalizable power counting, while the latter obeys the nonrenormalizable power counting of the low energy expansion and is consistent with unitarity in the limit of vanishing cosmological constant. The value of the absorptive part is related to the central charge c of the matter fields coupled to gravity.