Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space
Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools for practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are invariant under conformal transformations, this symmetry is broken by...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2022-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2022/14/epjconf_qcd@work2022_00032.pdf |
| _version_ | 1811179699346341888 |
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| author | Maglio Matteo Maria Tommasi Riccardo |
| author_facet | Maglio Matteo Maria Tommasi Riccardo |
| author_sort | Maglio Matteo Maria |
| collection | DOAJ |
| description | Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools for practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are invariant under conformal transformations, this symmetry is broken by quantum corrections. The signature of the symmetry breaking is encoded in the presence of massless poles in correlators involving stress-energy tensors. We present a general study of the correlation functions 〈TJJ〉 and 〈TTJJ〉 of conformal field theory (CFT) in the flat background limit in momentum space, following a reconstruction method for tensor correlators. Furthermore, our analysis also focuses on studying the dimensional degeneracies of the tensor structures related to these correlators. |
| first_indexed | 2024-04-11T06:37:53Z |
| format | Article |
| id | doaj.art-3686bfe802cd4133a8fc75d9045c24ad |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-04-11T06:37:53Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-3686bfe802cd4133a8fc75d9045c24ad2022-12-22T04:39:37ZengEDP SciencesEPJ Web of Conferences2100-014X2022-01-012700003210.1051/epjconf/202227000032epjconf_qcd@work2022_00032Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum spaceMaglio Matteo Maria0Tommasi Riccardo1Institute for Theoretical Physics, University of HeidelbergDipartimento Matematica e Fisica “Ennio de Giorgi”, Università del SalentoConformal symmetry has important consequences for strong interactions at short distances and provides powerful tools for practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are invariant under conformal transformations, this symmetry is broken by quantum corrections. The signature of the symmetry breaking is encoded in the presence of massless poles in correlators involving stress-energy tensors. We present a general study of the correlation functions 〈TJJ〉 and 〈TTJJ〉 of conformal field theory (CFT) in the flat background limit in momentum space, following a reconstruction method for tensor correlators. Furthermore, our analysis also focuses on studying the dimensional degeneracies of the tensor structures related to these correlators.https://www.epj-conferences.org/articles/epjconf/pdf/2022/14/epjconf_qcd@work2022_00032.pdf |
| spellingShingle | Maglio Matteo Maria Tommasi Riccardo Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space EPJ Web of Conferences |
| title | Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space |
| title_full | Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space |
| title_fullStr | Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space |
| title_full_unstemmed | Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space |
| title_short | Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space |
| title_sort | gravitational coupling of qed and qcd 3 and 4 point functions in momentum space |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2022/14/epjconf_qcd@work2022_00032.pdf |
| work_keys_str_mv | AT magliomatteomaria gravitationalcouplingofqedandqcd3and4pointfunctionsinmomentumspace AT tommasiriccardo gravitationalcouplingofqedandqcd3and4pointfunctionsinmomentumspace |