Renormalization of the SU(2)-symmetric model of hadrodynamics
| dc.creator | Su, Jun-Chen | |
| dc.creator | Wang, Hai-Jun | |
| dc.date | 2006-08-28 | |
| dc.date.accessioned | 2026-07-07T07:25:38Z | |
| dc.date.available | 2026-07-07T07:25:38Z | |
| dc.description | It is proved that the SU(2)-symmetric model of hadrodynamics can well be set up on the gauge-invariance principle. The quantization of the model can readily be performed in the Lagrangian path-integral formalisms by using the Lagrangian undetermined multiplier method. Furthermore, it is shown that the quantum theory is invariant with respect to a kind of BRST-transformations. From the BRST-symmetry of the theory, the Ward-Takahashi identities satisfied by the generating functionals of full Green functions, connected Green functions and proper vertex functions are successively derived. As an application of the above Ward-Takahashi identities, the Ward-Takahashi identities obeyed by the propagators and various proper vertices are derived. Based on these identities, the propagators and vertices are perfectly renormalized. Especially, as a result of the renormalization, the Slavnov-Taylor identity satisfied by renormalization constants is natually deduced. To demonstrate the renormalizability of the theory, the one-loop renormalization of the theory is carried out by means of the mass-dependent momentum space subtraction and the renormalization group approach, giving an exact one-loop effective coupling constant and one-loop effective nucleon, pion and $ρ-$meson masses. | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0608066 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0608066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116787 | |
| dc.subject | Nuclear Theory | |
| dc.title | Renormalization of the SU(2)-symmetric model of hadrodynamics | |
| dc.type | text |