Four-quark scatterings in QCD I
We investigate dynamical chiral symmetry breaking and the emergence of mesonic bound states from the infrared dynamics of four-quark scatterings. Both phenomena originate from the resonant scalar-pseudoscalar channel of the four-quark scatterings, and we compute the functional renormalisation group...
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| Format: | Article |
| Language: | English |
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SciPost
2023-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.4.069 |
| _version_ | 1797847512235638784 |
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| author | Wei-jie Fu, Chuang Huang, Jan M. Pawlowski, Yang-yang Tan |
| author_facet | Wei-jie Fu, Chuang Huang, Jan M. Pawlowski, Yang-yang Tan |
| author_sort | Wei-jie Fu, Chuang Huang, Jan M. Pawlowski, Yang-yang Tan |
| collection | DOAJ |
| description | We investigate dynamical chiral symmetry breaking and the emergence of mesonic bound states from the infrared dynamics of four-quark scatterings. Both phenomena originate from the resonant scalar-pseudoscalar channel of the four-quark scatterings, and we compute the functional renormalisation group (fRG) flows of the Fierz-complete four-quark interaction of up and down quarks with its $t$ channel momentum dependence. This is done in the isospin symmetric case, also including the flow of the quark two-point function. This system can be understood as the fRG analogues of the complete Bethe-Salpeter equations and quark gap equation. The pole mass of the pion is determined from both direct calculations of the four-quark flows in the Minkowski regime of momenta and the analytic continuation based on results in the Euclidean regime, which are consistent with each other. |
| first_indexed | 2024-04-09T18:12:40Z |
| format | Article |
| id | doaj.art-a9b62d6f71584563aad7fe227a8ef701 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-09T18:12:40Z |
| publishDate | 2023-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-a9b62d6f71584563aad7fe227a8ef7012023-04-13T13:22:15ZengSciPostSciPost Physics2542-46532023-04-0114406910.21468/SciPostPhys.14.4.069Four-quark scatterings in QCD IWei-jie Fu, Chuang Huang, Jan M. Pawlowski, Yang-yang TanWe investigate dynamical chiral symmetry breaking and the emergence of mesonic bound states from the infrared dynamics of four-quark scatterings. Both phenomena originate from the resonant scalar-pseudoscalar channel of the four-quark scatterings, and we compute the functional renormalisation group (fRG) flows of the Fierz-complete four-quark interaction of up and down quarks with its $t$ channel momentum dependence. This is done in the isospin symmetric case, also including the flow of the quark two-point function. This system can be understood as the fRG analogues of the complete Bethe-Salpeter equations and quark gap equation. The pole mass of the pion is determined from both direct calculations of the four-quark flows in the Minkowski regime of momenta and the analytic continuation based on results in the Euclidean regime, which are consistent with each other.https://scipost.org/SciPostPhys.14.4.069 |
| spellingShingle | Wei-jie Fu, Chuang Huang, Jan M. Pawlowski, Yang-yang Tan Four-quark scatterings in QCD I SciPost Physics |
| title | Four-quark scatterings in QCD I |
| title_full | Four-quark scatterings in QCD I |
| title_fullStr | Four-quark scatterings in QCD I |
| title_full_unstemmed | Four-quark scatterings in QCD I |
| title_short | Four-quark scatterings in QCD I |
| title_sort | four quark scatterings in qcd i |
| url | https://scipost.org/SciPostPhys.14.4.069 |
| work_keys_str_mv | AT weijiefuchuanghuangjanmpawlowskiyangyangtan fourquarkscatteringsinqcdi |