dorsal/arxiv
View SchemaRenormalization of the SU(2)-symmetric model of hadrodynamics
| Authors | Jun-Chen Su, Hai-Jun Wang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0608066 |
| URL | https://arxiv.org/abs/nucl-th/0608066 |
Abstract
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 $\rho -$meson masses.
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"abstract": "It is proved that the SU(2)-symmetric model of hadrodynamics can well be set\nup on the gauge-invariance principle. The quantization of the model can readily\nbe performed in the Lagrangian path-integral formalisms by using the Lagrangian\nundetermined multiplier method. Furthermore, it is shown that the quantum\ntheory is invariant with respect to a kind of BRST-transformations. From the\nBRST-symmetry of the theory, the Ward-Takahashi identities satisfied by the\ngenerating functionals of full Green functions, connected Green functions and\nproper vertex functions are successively derived. As an application of the\nabove Ward-Takahashi identities, the Ward-Takahashi identities obeyed by the\npropagators and various proper vertices are derived. Based on these identities,\nthe propagators and vertices are perfectly renormalized. Especially, as a\nresult of the renormalization, the Slavnov-Taylor identity satisfied by\nrenormalization constants is natually deduced. To demonstrate the\nrenormalizability of the theory, the one-loop renormalization of the theory is\ncarried out by means of the mass-dependent momentum space subtraction and the\nrenormalization group approach, giving an exact one-loop effective coupling\nconstant and one-loop effective nucleon, pion and $\\rho -$meson masses.",
"arxiv_id": "nucl-th/0608066",
"authors": [
"Jun-Chen Su",
"Hai-Jun Wang"
],
"categories": [
"nucl-th"
],
"title": "Renormalization of the SU(2)-symmetric model of hadrodynamics",
"url": "https://arxiv.org/abs/nucl-th/0608066"
},
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