Bound states of massive complex ghosts in superrenormalizable quantum gravity theories
Abstract One of the remarkable differences between renormalizable quantum gravity with four-derivative action and its superrenormalizable polynomial generalizations is that the latter admit a more sophisticated particle mass spectrum. Already in the simplest superrenormalizable case, the theory has...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)113 |
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| author | M. Asorey G. Krein M. Pardina I. Shapiro |
| author_facet | M. Asorey G. Krein M. Pardina I. Shapiro |
| author_sort | M. Asorey |
| collection | DOAJ |
| description | Abstract One of the remarkable differences between renormalizable quantum gravity with four-derivative action and its superrenormalizable polynomial generalizations is that the latter admit a more sophisticated particle mass spectrum. Already in the simplest superrenormalizable case, the theory has a six-derivative Lagrangian, admitting either a real or complex spectrum of masses. In the case of a real spectrum, there are the graviton, massive unphysical ghosts, and normal particles with masses exceeding the ones of the ghosts. It is also possible to have pairs of complex conjugate massive ghost-like particles. We show that in both cases, these theories do not admit a Källén-Lehmann representation and do not satisfy the positivity criterium of consistency in terms of the fields associated to those particles. In the main part of the work, using a relatively simple Euclidean scalar toy model, we show that the theory with complex spectrum forms bound states confining unphysical massive excitations into a normal composite particle. Finally, we discuss the cosmological implications of such a ghost confinement. |
| format | Article |
| id | doaj-art-b6f5afa191404762a70d11368bdef685 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b6f5afa191404762a70d11368bdef6852025-02-09T12:07:57ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112010.1007/JHEP01(2025)113Bound states of massive complex ghosts in superrenormalizable quantum gravity theoriesM. Asorey0G. Krein1M. Pardina2I. Shapiro3Centro de Astropartículas y Física de Altas Energías, Departamento de Física Teórica, Universidad de ZaragozaInstituto de Física Teórica, Universidade Estadual PaulistaCentro de Astropartículas y Física de Altas Energías, Departamento de Física Teórica, Universidad de ZaragozaDepartamento de Física, ICE, Universidade Federal de Juiz de ForaAbstract One of the remarkable differences between renormalizable quantum gravity with four-derivative action and its superrenormalizable polynomial generalizations is that the latter admit a more sophisticated particle mass spectrum. Already in the simplest superrenormalizable case, the theory has a six-derivative Lagrangian, admitting either a real or complex spectrum of masses. In the case of a real spectrum, there are the graviton, massive unphysical ghosts, and normal particles with masses exceeding the ones of the ghosts. It is also possible to have pairs of complex conjugate massive ghost-like particles. We show that in both cases, these theories do not admit a Källén-Lehmann representation and do not satisfy the positivity criterium of consistency in terms of the fields associated to those particles. In the main part of the work, using a relatively simple Euclidean scalar toy model, we show that the theory with complex spectrum forms bound states confining unphysical massive excitations into a normal composite particle. Finally, we discuss the cosmological implications of such a ghost confinement.https://doi.org/10.1007/JHEP01(2025)113Models of Quantum GravityNonperturbative EffectsRenormalization and Regularization |
| spellingShingle | M. Asorey G. Krein M. Pardina I. Shapiro Bound states of massive complex ghosts in superrenormalizable quantum gravity theories Journal of High Energy Physics Models of Quantum Gravity Nonperturbative Effects Renormalization and Regularization |
| title | Bound states of massive complex ghosts in superrenormalizable quantum gravity theories |
| title_full | Bound states of massive complex ghosts in superrenormalizable quantum gravity theories |
| title_fullStr | Bound states of massive complex ghosts in superrenormalizable quantum gravity theories |
| title_full_unstemmed | Bound states of massive complex ghosts in superrenormalizable quantum gravity theories |
| title_short | Bound states of massive complex ghosts in superrenormalizable quantum gravity theories |
| title_sort | bound states of massive complex ghosts in superrenormalizable quantum gravity theories |
| topic | Models of Quantum Gravity Nonperturbative Effects Renormalization and Regularization |
| url | https://doi.org/10.1007/JHEP01(2025)113 |
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