dorsal/arxiv
View SchemaRenormalization of the Sigma-Omega model within the framework of U(1) gauge symmetry
| Authors | Jun-Chen Su, Hai-Jhun Wanng |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410095 |
| URL | https://arxiv.org/abs/nucl-th/0410095 |
| DOI | 10.1103/PhysRevC.70.044003 |
| Journal | Phys.Rev.C 70(2004)044003 |
Abstract
It is shown that the Sigma-Omega model which is widely used in the study of nuclear relativistic many-body problem can exactly be treated as an Abelian massive gauge field theory. The quantization of this theory can perfectly be performed by means of the general methods described in the quantum gauge field theory. Especially, the local U(1) gauge symmetry of the theory leads to a series of Ward-Takahashi identities satisfied by Green's functions and proper vertices. These identities form an uniquely correct basis for the renormalization of the theory. The renormalization is carried out in the mass-dependent momentum space subtraction scheme and by the renormalization group approach. With the aid of the renormalization boundary conditions, the solutions to the renormalization group equations are given in definite expressions without any ambiguity and renormalized S-matrix elememts are exactly formulated in forms as given in a series of tree diagrams provided that the physical parameters are replaced by the running ones. As an illustration of the renormalization procedure, the one-loop renormalization is concretely carried out and the results are given in rigorous forms which are suitable in the whole energy region. The effect of the one-loop renormalization is examined by the two-nucleon elastic scattering.
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"abstract": "It is shown that the Sigma-Omega model which is widely used in the study of\nnuclear relativistic many-body problem can exactly be treated as an Abelian\nmassive gauge field theory. The quantization of this theory can perfectly be\nperformed by means of the general methods described in the quantum gauge field\ntheory. Especially, the local U(1) gauge symmetry of the theory leads to a\nseries of Ward-Takahashi identities satisfied by Green\u0027s functions and proper\nvertices. These identities form an uniquely correct basis for the\nrenormalization of the theory. The renormalization is carried out in the\nmass-dependent momentum space subtraction scheme and by the renormalization\ngroup approach. With the aid of the renormalization boundary conditions, the\nsolutions to the renormalization group equations are given in definite\nexpressions without any ambiguity and renormalized S-matrix elememts are\nexactly formulated in forms as given in a series of tree diagrams provided that\nthe physical parameters are replaced by the running ones. As an illustration of\nthe renormalization procedure, the one-loop renormalization is concretely\ncarried out and the results are given in rigorous forms which are suitable in\nthe whole energy region. The effect of the one-loop renormalization is examined\nby the two-nucleon elastic scattering.",
"arxiv_id": "nucl-th/0410095",
"authors": [
"Jun-Chen Su",
"Hai-Jhun Wanng"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.044003",
"journal_ref": "Phys.Rev.C 70(2004)044003",
"title": "Renormalization of the Sigma-Omega model within the framework of U(1) gauge symmetry",
"url": "https://arxiv.org/abs/nucl-th/0410095"
},
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