Nonlocal quantum effective actions in Weyl-Flat spacetimes
Abstract Virtual massless particles in quantum loops lead to nonlocal effects which can have interesting consequences, for example, for primordial magnetogenesis in cosmology or for computing finite N corrections in holography. We describe how the quantum effective actions summarizing these effects...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)055 |
| _version_ | 1811259486318362624 |
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| author | Teresa Bautista André Benevides Atish Dabholkar |
| author_facet | Teresa Bautista André Benevides Atish Dabholkar |
| author_sort | Teresa Bautista |
| collection | DOAJ |
| description | Abstract Virtual massless particles in quantum loops lead to nonlocal effects which can have interesting consequences, for example, for primordial magnetogenesis in cosmology or for computing finite N corrections in holography. We describe how the quantum effective actions summarizing these effects can be computed efficiently for Weyl-flat metrics by integrating the Weyl anomaly or, equivalently, the local renormalization group equation. This method relies only on the local Schwinger-DeWitt expansion of the heat kernel and allows for a re-summation of the anomalous leading large logarithms of the scale factor, log a(x), in situations where the Weyl factor changes by several e-foldings. As an illustration, we obtain the quantum effective action for the Yang-Mills field coupled to massless matter, and the self-interacting massless scalar field. Our action reduces to the nonlocal action obtained using the Barvinsky-Vilkovisky covariant perturbation theory in the regime R 2 ≪ ∇2 R for a typical curvature scale R, but has a greater range of validity effectively re-summing the covariant perturbation theory to all orders in curvatures. In particular, it is applicable also in the opposite regime R 2 ≫ ∇2 R, which is often of interest in cosmology. |
| first_indexed | 2024-04-12T18:31:24Z |
| format | Article |
| id | doaj.art-99cb46bcaf3f48bba99896f543228e46 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T18:31:24Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-99cb46bcaf3f48bba99896f543228e462022-12-22T03:21:04ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018612510.1007/JHEP06(2018)055Nonlocal quantum effective actions in Weyl-Flat spacetimesTeresa Bautista0André Benevides1Atish Dabholkar2Max Planck Institute for Gravitational Physics (Albert Einstein Institute)Scuola Internazionale Superiore di Studi Avanzati (SISSA)Abdus Salam International Centre for Theoretical PhysicsAbstract Virtual massless particles in quantum loops lead to nonlocal effects which can have interesting consequences, for example, for primordial magnetogenesis in cosmology or for computing finite N corrections in holography. We describe how the quantum effective actions summarizing these effects can be computed efficiently for Weyl-flat metrics by integrating the Weyl anomaly or, equivalently, the local renormalization group equation. This method relies only on the local Schwinger-DeWitt expansion of the heat kernel and allows for a re-summation of the anomalous leading large logarithms of the scale factor, log a(x), in situations where the Weyl factor changes by several e-foldings. As an illustration, we obtain the quantum effective action for the Yang-Mills field coupled to massless matter, and the self-interacting massless scalar field. Our action reduces to the nonlocal action obtained using the Barvinsky-Vilkovisky covariant perturbation theory in the regime R 2 ≪ ∇2 R for a typical curvature scale R, but has a greater range of validity effectively re-summing the covariant perturbation theory to all orders in curvatures. In particular, it is applicable also in the opposite regime R 2 ≫ ∇2 R, which is often of interest in cosmology.http://link.springer.com/article/10.1007/JHEP06(2018)055Anomalies in Field and String TheoriesEffective Field TheoriesRenormalization GroupModels of Quantum Gravity |
| spellingShingle | Teresa Bautista André Benevides Atish Dabholkar Nonlocal quantum effective actions in Weyl-Flat spacetimes Journal of High Energy Physics Anomalies in Field and String Theories Effective Field Theories Renormalization Group Models of Quantum Gravity |
| title | Nonlocal quantum effective actions in Weyl-Flat spacetimes |
| title_full | Nonlocal quantum effective actions in Weyl-Flat spacetimes |
| title_fullStr | Nonlocal quantum effective actions in Weyl-Flat spacetimes |
| title_full_unstemmed | Nonlocal quantum effective actions in Weyl-Flat spacetimes |
| title_short | Nonlocal quantum effective actions in Weyl-Flat spacetimes |
| title_sort | nonlocal quantum effective actions in weyl flat spacetimes |
| topic | Anomalies in Field and String Theories Effective Field Theories Renormalization Group Models of Quantum Gravity |
| url | http://link.springer.com/article/10.1007/JHEP06(2018)055 |
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