Interacting two-particle states in the symmetric phase of the chiral Nambu-Jona-Lasinio model
Abstract
The renormalization group flow of the chiral Nambu-Jona-Lasinio (NJL) model with one fermion flavor is mapped out in the symmetric phase with help of the Functional Renormalization Group (FRG) method using a physically motivated nonlocal trial effective action. The non-interacting infrared end-point of the flow of the four-fermion couplings is now accompanied by nonzero limiting composite couplings characteristic for interacting two-particle states with finite energy and physical size. The interaction energy of the constituents is extracted as a function of the physical size of the composite object. The propagation of a two-particle state minimizing the interaction energy has a natural bound state interpretation.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- May 2020
- DOI:
- 10.1142/S0217732320501308
- arXiv:
- arXiv:1902.06492
- Bibcode:
- 2020MPLA...3550130J
- Keywords:
-
- Bound-state;
- chiral Yukawa model;
- functional renormalization group;
- 11.10Gh;
- 11.10Hi;
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- E-Print:
- 13 pages, 13 figures, final version appeared in MPLA