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Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model
We use the 2-dimensional $\sigma$ model as a toy model to study the behaviorof anomalous amplitudes in the limit where the constituent quark mass is small.Symmetry arguments tell that the $\pi^o\to\gamma$ amplitude should vanish if$m\to 0$, but we show that this conclusion is spoiled by infraredsing...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2000
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.63.016001 http://cds.cern.ch/record/428562 |
| _version_ | 1780895166346821632 |
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| author | Gelis, Francois Tytgat, Michel H.G. |
| author_facet | Gelis, Francois Tytgat, Michel H.G. |
| author_sort | Gelis, Francois |
| collection | CERN |
| description | We use the 2-dimensional $\sigma$ model as a toy model to study the behaviorof anomalous amplitudes in the limit where the constituent quark mass is small.Symmetry arguments tell that the $\pi^o\to\gamma$ amplitude should vanish if$m\to 0$, but we show that this conclusion is spoiled by infraredsingularities. When a proper regularization (resummation of a thermal mass, forinstance) is taken into account, this amplitude vanishes as expected. We alsostudy the amplitude $\pi^o\sigma\to\gamma$ and show that it does not vanish inthe same limit. |
| id | cern-428562 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2000 |
| record_format | invenio |
| spelling | cern-4285622023-03-14T18:02:42Zdoi:10.1103/PhysRevD.63.016001http://cds.cern.ch/record/428562engGelis, FrancoisTytgat, Michel H.G.Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ modelParticle Physics - PhenomenologyWe use the 2-dimensional $\sigma$ model as a toy model to study the behaviorof anomalous amplitudes in the limit where the constituent quark mass is small.Symmetry arguments tell that the $\pi^o\to\gamma$ amplitude should vanish if$m\to 0$, but we show that this conclusion is spoiled by infraredsingularities. When a proper regularization (resummation of a thermal mass, forinstance) is taken into account, this amplitude vanishes as expected. We alsostudy the amplitude $\pi^o\sigma\to\gamma$ and show that it does not vanish inthe same limit.We use the 2-dimensional $\sigma$ model as a toy model to study the behavior of anomalous amplitudes in the limit where the constituent quark mass is small. Symmetry arguments tell that the $\pi^o\to\gamma$ amplitude should vanish if $m\to 0$, but we show that this conclusion is spoiled by infrared singularities. When a proper regularization (resummation of a thermal mass, for instance) is taken into account, this amplitude vanishes as expected. We also study the amplitude $\pi^o\sigma\to\gamma$ and show that it does not vanish in the same limit.hep-ph/0002270CERN-TH-2000-066BNL-NT-00-3CERN-TH-2000-066BNL-NT-2000-3oai:cds.cern.ch:4285622000-02-25 |
| spellingShingle | Particle Physics - Phenomenology Gelis, Francois Tytgat, Michel H.G. Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model |
| title | Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model |
| title_full | Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model |
| title_fullStr | Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model |
| title_full_unstemmed | Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model |
| title_short | Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model |
| title_sort | anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model |
| topic | Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1103/PhysRevD.63.016001 http://cds.cern.ch/record/428562 |
| work_keys_str_mv | AT gelisfrancois anomalousprocessesathightemperatureanddensityina2dimensionallinearsigmamodel AT tytgatmichelhg anomalousprocessesathightemperatureanddensityina2dimensionallinearsigmamodel |