Weakly-Coupled Trace Anomaly Action for Gravity
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913842458525696 |
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| author | Gabadadze, Gregory Tukhashvili, Giorgi |
| author_facet | Gabadadze, Gregory Tukhashvili, Giorgi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11397 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weakly-Coupled Trace Anomaly Action for Gravity Gabadadze, Gregory Tukhashvili, Giorgi High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology 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. |
| title | Weakly-Coupled Trace Anomaly Action for Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2505.11397 |