Report
Four-quark scatterings in QCD I
| العنوان: | Four-quark scatterings in QCD I |
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| المؤلفون: | Fu, Wei-jie, Huang, Chuang, Pawlowski, Jan M., Tan, Yang-yang |
| المصدر: | SciPost Phys. 14, 069 (2023) |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Phenomenology Nuclear Theory |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology, Nuclear Theory |
| الوصف: | 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. Comment: 26 pages, 20 figures, 3 tables; v2: minor typos corrected |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.21468/SciPostPhys.14.4.069 |
| URL الوصول: | http://arxiv.org/abs/2209.13120 |
| رقم الانضمام: | edsarx.2209.13120 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.21468/SciPostPhys.14.4.069 |
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