Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model
We present an analytic calculation of the paramagnetic and diamagnetic contributions to the one-loop effective action in the SU(2) Higgs model. The paramagnetic contribution is produced by the gauge boson, while the diamagnetic contribution is produced by the gauge boson and the ghost. In the limit,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/10/1237 |
| _version_ | 1798006170092306432 |
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| author | Dmitry Antonov |
| author_facet | Dmitry Antonov |
| author_sort | Dmitry Antonov |
| collection | DOAJ |
| description | We present an analytic calculation of the paramagnetic and diamagnetic contributions to the one-loop effective action in the SU(2) Higgs model. The paramagnetic contribution is produced by the gauge boson, while the diamagnetic contribution is produced by the gauge boson and the ghost. In the limit, where these particles are massless, the standard result of −12 for the ratio of the paramagnetic to the diamagnetic contribution is reproduced. If the mass of the gauge boson and the ghost become much larger than the inverse vacuum correlation lengths of the Yang−Mills vacuum, the value of the ratio goes to −8. We also find that the same values of the ratio are achieved in the deconfinement phase of the model, up to the temperatures at which the dimensional reduction occurs. |
| first_indexed | 2024-04-11T12:50:40Z |
| format | Article |
| id | doaj.art-69e231d3db924eed84658897385020ef |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T12:50:40Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-69e231d3db924eed84658897385020ef2022-12-22T04:23:13ZengMDPI AGSymmetry2073-89942019-10-011110123710.3390/sym11101237sym11101237Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs ModelDmitry Antonov0Formerly at Departamento de Física and CFIF, Instituto Superior Técnico, ULisboa, Av. Rovisco Pais, 1049-001 Lisbon, PortugalWe present an analytic calculation of the paramagnetic and diamagnetic contributions to the one-loop effective action in the SU(2) Higgs model. The paramagnetic contribution is produced by the gauge boson, while the diamagnetic contribution is produced by the gauge boson and the ghost. In the limit, where these particles are massless, the standard result of −12 for the ratio of the paramagnetic to the diamagnetic contribution is reproduced. If the mass of the gauge boson and the ghost become much larger than the inverse vacuum correlation lengths of the Yang−Mills vacuum, the value of the ratio goes to −8. We also find that the same values of the ratio are achieved in the deconfinement phase of the model, up to the temperatures at which the dimensional reduction occurs.https://www.mdpi.com/2073-8994/11/10/1237higgs modelyang–mills vacuumeffective actionworld-line formalismwilson loop |
| spellingShingle | Dmitry Antonov Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model Symmetry higgs model yang–mills vacuum effective action world-line formalism wilson loop |
| title | Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model |
| title_full | Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model |
| title_fullStr | Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model |
| title_full_unstemmed | Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model |
| title_short | Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model |
| title_sort | paramagnetic versus diamagnetic interaction in the su 2 higgs model |
| topic | higgs model yang–mills vacuum effective action world-line formalism wilson loop |
| url | https://www.mdpi.com/2073-8994/11/10/1237 |
| work_keys_str_mv | AT dmitryantonov paramagneticversusdiamagneticinteractioninthesu2higgsmodel |