κ-Poincaré invariant orientable field theories at one-loop
Abstract We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ † alternate in the quartic interaction, and whose kinetic operator is the square of a U κ (iso(4))-equivariant Dirac opera...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)064 |
| _version_ | 1818037115898822656 |
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| author | Timothé Poulain Jean-Christophe Wallet |
| author_facet | Timothé Poulain Jean-Christophe Wallet |
| author_sort | Timothé Poulain |
| collection | DOAJ |
| description | Abstract We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ † alternate in the quartic interaction, and whose kinetic operator is the square of a U κ (iso(4))-equivariant Dirac operator. The formal commutative limit yields the standard complex ϕ 4 theory. We find that the 2-point function receives UV linearly diverging 1-loop corrections while it stays free of IR singularities that would signal occurrence of UV/IR mixing. We find that all the 1-loop planar and non-planar contributions to the 4-point function are UV finite, stemming from the existence of the particular estimate for the propagator partly combined with its decay properties at large momenta, implying formally vanishing of the beta-functions at 1-loop so that the coupling constants stay scale-invariant at 1-loop. |
| first_indexed | 2024-12-10T07:21:43Z |
| format | Article |
| id | doaj.art-a244788b3d584b5092793351e9bb39fc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T07:21:43Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a244788b3d584b5092793351e9bb39fc2022-12-22T01:57:48ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112110.1007/JHEP01(2019)064κ-Poincaré invariant orientable field theories at one-loopTimothé Poulain0Jean-Christophe Wallet1Laboratoire de Physique Théorique, CNRS and Université Paris-Sud 11Laboratoire de Physique Théorique, CNRS and Université Paris-Sud 11Abstract We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ † alternate in the quartic interaction, and whose kinetic operator is the square of a U κ (iso(4))-equivariant Dirac operator. The formal commutative limit yields the standard complex ϕ 4 theory. We find that the 2-point function receives UV linearly diverging 1-loop corrections while it stays free of IR singularities that would signal occurrence of UV/IR mixing. We find that all the 1-loop planar and non-planar contributions to the 4-point function are UV finite, stemming from the existence of the particular estimate for the propagator partly combined with its decay properties at large momenta, implying formally vanishing of the beta-functions at 1-loop so that the coupling constants stay scale-invariant at 1-loop.http://link.springer.com/article/10.1007/JHEP01(2019)064Renormalization Regularization and RenormalonsModels of Quantum GravityNon-Commutative Geometry |
| spellingShingle | Timothé Poulain Jean-Christophe Wallet κ-Poincaré invariant orientable field theories at one-loop Journal of High Energy Physics Renormalization Regularization and Renormalons Models of Quantum Gravity Non-Commutative Geometry |
| title | κ-Poincaré invariant orientable field theories at one-loop |
| title_full | κ-Poincaré invariant orientable field theories at one-loop |
| title_fullStr | κ-Poincaré invariant orientable field theories at one-loop |
| title_full_unstemmed | κ-Poincaré invariant orientable field theories at one-loop |
| title_short | κ-Poincaré invariant orientable field theories at one-loop |
| title_sort | κ poincare invariant orientable field theories at one loop |
| topic | Renormalization Regularization and Renormalons Models of Quantum Gravity Non-Commutative Geometry |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)064 |
| work_keys_str_mv | AT timothepoulain kpoincareinvariantorientablefieldtheoriesatoneloop AT jeanchristophewallet kpoincareinvariantorientablefieldtheoriesatoneloop |