On the consistency of (partially-)massless matter couplings in de Sitter space
Abstract We study the consistency of the cubic couplings of a (partially-)massless spinning field to two scalars in (d + 1)-dimensional de Sitter space. Gauge invariance of observables with external (partially)-massless spinning fields translates into Ward-Takahashi identities on the boundary. Using...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2021)156 |
| _version_ | 1818402548729511936 |
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| author | Charlotte Sleight Massimo Taronna |
| author_facet | Charlotte Sleight Massimo Taronna |
| author_sort | Charlotte Sleight |
| collection | DOAJ |
| description | Abstract We study the consistency of the cubic couplings of a (partially-)massless spinning field to two scalars in (d + 1)-dimensional de Sitter space. Gauge invariance of observables with external (partially)-massless spinning fields translates into Ward-Takahashi identities on the boundary. Using the Mellin-Barnes representation for boundary correlators in momentum space, we give a systematic study of Ward-Takahashi identities for tree-level 3- and 4-point processes involving a single external (partially-)massless field of arbitrary integer spin-J. 3-point Ward-Takahashi identities constrain the mass of the scalar fields to which a (partially-)massless spin-J field can couple. 4-point Ward-Takahashi identities then constrain the corresponding cubic couplings. For massless spinning fields, we show that Weinberg’s flat space results carry over to (d+1)-dimensional de Sitter space: for spins J = 1, 2 gauge-invariance implies charge-conservation and the equivalence principle while, assuming locality, higher-spins J > 2 cannot couple consistently to scalar matter. This result also applies to anti-de Sitter space. For partially-massless fields, restricting for simplicity to those of depth-2, we show that there is no consistent coupling to scalar matter in local theories. Along the way we also give a detailed account of how contact amplitudes with and without derivatives are represented in the Mellin-Barnes representation. Various new explicit expressions for 3- and 4-point functions involving (partially-)massless fields and conformally coupled scalars in dS4 are given. |
| first_indexed | 2024-12-14T08:10:07Z |
| format | Article |
| id | doaj.art-01555ba81b4941c8b04804f30c083906 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T08:10:07Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-01555ba81b4941c8b04804f30c0839062022-12-21T23:10:05ZengSpringerOpenJournal of High Energy Physics1029-84792021-10-0120211015610.1007/JHEP10(2021)156On the consistency of (partially-)massless matter couplings in de Sitter spaceCharlotte Sleight0Massimo Taronna1Centre for Particle Theory and Department of Mathematical Sciences, Durham UniversityDipartimento di Fisica “Ettore Pancini”, Università degli Studi di Napoli Federico IIAbstract We study the consistency of the cubic couplings of a (partially-)massless spinning field to two scalars in (d + 1)-dimensional de Sitter space. Gauge invariance of observables with external (partially)-massless spinning fields translates into Ward-Takahashi identities on the boundary. Using the Mellin-Barnes representation for boundary correlators in momentum space, we give a systematic study of Ward-Takahashi identities for tree-level 3- and 4-point processes involving a single external (partially-)massless field of arbitrary integer spin-J. 3-point Ward-Takahashi identities constrain the mass of the scalar fields to which a (partially-)massless spin-J field can couple. 4-point Ward-Takahashi identities then constrain the corresponding cubic couplings. For massless spinning fields, we show that Weinberg’s flat space results carry over to (d+1)-dimensional de Sitter space: for spins J = 1, 2 gauge-invariance implies charge-conservation and the equivalence principle while, assuming locality, higher-spins J > 2 cannot couple consistently to scalar matter. This result also applies to anti-de Sitter space. For partially-massless fields, restricting for simplicity to those of depth-2, we show that there is no consistent coupling to scalar matter in local theories. Along the way we also give a detailed account of how contact amplitudes with and without derivatives are represented in the Mellin-Barnes representation. Various new explicit expressions for 3- and 4-point functions involving (partially-)massless fields and conformally coupled scalars in dS4 are given.https://doi.org/10.1007/JHEP10(2021)156AdS-CFT CorrespondenceScattering AmplitudesSpace-Time Symmetries |
| spellingShingle | Charlotte Sleight Massimo Taronna On the consistency of (partially-)massless matter couplings in de Sitter space Journal of High Energy Physics AdS-CFT Correspondence Scattering Amplitudes Space-Time Symmetries |
| title | On the consistency of (partially-)massless matter couplings in de Sitter space |
| title_full | On the consistency of (partially-)massless matter couplings in de Sitter space |
| title_fullStr | On the consistency of (partially-)massless matter couplings in de Sitter space |
| title_full_unstemmed | On the consistency of (partially-)massless matter couplings in de Sitter space |
| title_short | On the consistency of (partially-)massless matter couplings in de Sitter space |
| title_sort | on the consistency of partially massless matter couplings in de sitter space |
| topic | AdS-CFT Correspondence Scattering Amplitudes Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP10(2021)156 |
| work_keys_str_mv | AT charlottesleight ontheconsistencyofpartiallymasslessmattercouplingsindesitterspace AT massimotaronna ontheconsistencyofpartiallymasslessmattercouplingsindesitterspace |