2025/05/16 by Gregory Gabadadze, Gabadadze, Gregory, Giorgi Tukhashvili +1 · 1 voice · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.2505.11397
openalex publication_date 2025/05/16 · arxiv published 2025/05/16 · arxiv updated 2025/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss a local, diff-invariant quantum effective action for gravity that captures the trace anomaly via a counter-term. We discuss why this counter-term is the most significant among infinitely many possible ones, and show how the counter-term leads to a scattering amplitude that is strongly coupled at arbitrarily low energies. We show how the introduction of a new sector with spontaneously broken scale invariance removes the strong coupling problem, and discuss some physical consequences due to the new sector. Three Appendices summarize quantum effective actions -- highlighting connections between their local, and seemingly non-local formulations -- for the scale anomaly in 4D QED, for the axial anomaly in 2D QED, and for the scale anomaly in a 2D sigma model.