dorsal/arxiv
View SchemaColeman-Weinberg mechanism for spontaneous chiral symmetry breaking in the massless chiral sigma model
| Authors | Setsuo Tamenaga, Hiroshi Toki, Akihiro Haga, Yoko Ogawa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0604013 |
| URL | https://arxiv.org/abs/nucl-th/0604013 |
Abstract
We study the effect of one-loop corrections from nucleon together with those from boson in the massless chiral sigma model, where we perform the Coleman-Weinberg renormalization procedure. This renormalization procedure has a mechanism of spontaneous symmetry breaking due to radiative corrections in $\phi^4$ theory. We apply it to the system of nucleon and bosons with chiral symmetry where the negative-mass term of bosons does not exist. Spontaneous chiral symmetry breaking is derived from the contribution of nucleon and boson loops which generates the masses of nucleon, scalar meson, and vector meson dynamically. We find that the renormalization scale plays an important role for the breaking of the symmetry between fermion (nucleon) and boson, and eventually for the chiral symmetry at the same time. In addition, we find that the naturalness restores by means of the introduction of the vacuum fluctuation from both nucleon and boson. Finally we obtain a stable effective potential with the effect of Dirac sea in the chiral model for the first time.
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"abstract": "We study the effect of one-loop corrections from nucleon together with those\nfrom boson in the massless chiral sigma model, where we perform the\nColeman-Weinberg renormalization procedure. This renormalization procedure has\na mechanism of spontaneous symmetry breaking due to radiative corrections in\n$\\phi^4$ theory. We apply it to the system of nucleon and bosons with chiral\nsymmetry where the negative-mass term of bosons does not exist. Spontaneous\nchiral symmetry breaking is derived from the contribution of nucleon and boson\nloops which generates the masses of nucleon, scalar meson, and vector meson\ndynamically. We find that the renormalization scale plays an important role for\nthe breaking of the symmetry between fermion (nucleon) and boson, and\neventually for the chiral symmetry at the same time. In addition, we find that\nthe naturalness restores by means of the introduction of the vacuum fluctuation\nfrom both nucleon and boson. Finally we obtain a stable effective potential\nwith the effect of Dirac sea in the chiral model for the first time.",
"arxiv_id": "nucl-th/0604013",
"authors": [
"Setsuo Tamenaga",
"Hiroshi Toki",
"Akihiro Haga",
"Yoko Ogawa"
],
"categories": [
"nucl-th"
],
"title": "Coleman-Weinberg mechanism for spontaneous chiral symmetry breaking in the massless chiral sigma model",
"url": "https://arxiv.org/abs/nucl-th/0604013"
},
"schema_id": "dorsal/arxiv",
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"variant": "snapshot-2026-03-01",
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