On bound-states of the Gross Neveu model with massive fundamental fermions
Abstract In the search for QFT’s that admit boundstates, we reinvestigate the two dimensional Gross-Neveu model, but with massive fermions. By computing the self-energy for the auxiliary boundstate field and the effective potential, we show that there are no bound states around the lowest minimum, b...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2018)008 |
| _version_ | 1828518674245353472 |
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| author | Yitzhak Frishman Jacob Sonnenschein |
| author_facet | Yitzhak Frishman Jacob Sonnenschein |
| author_sort | Yitzhak Frishman |
| collection | DOAJ |
| description | Abstract In the search for QFT’s that admit boundstates, we reinvestigate the two dimensional Gross-Neveu model, but with massive fermions. By computing the self-energy for the auxiliary boundstate field and the effective potential, we show that there are no bound states around the lowest minimum, but there is a meta-stable bound state around the other minimum, a local one. The latter decays by tunneling. We determine the dependence of its lifetime on the fermion mass and coupling constant. |
| first_indexed | 2024-12-11T18:59:57Z |
| format | Article |
| id | doaj.art-6ce40f8cc46842d0b4238ab7c5e7bc41 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T18:59:57Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6ce40f8cc46842d0b4238ab7c5e7bc412022-12-22T00:54:03ZengSpringerOpenJournal of High Energy Physics1029-84792018-01-012018111410.1007/JHEP01(2018)008On bound-states of the Gross Neveu model with massive fundamental fermionsYitzhak Frishman0Jacob Sonnenschein1Department of Particle Physics and Astrophysics, The Weizmann Institute of ScienceThe Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv UniversityAbstract In the search for QFT’s that admit boundstates, we reinvestigate the two dimensional Gross-Neveu model, but with massive fermions. By computing the self-energy for the auxiliary boundstate field and the effective potential, we show that there are no bound states around the lowest minimum, but there is a meta-stable bound state around the other minimum, a local one. The latter decays by tunneling. We determine the dependence of its lifetime on the fermion mass and coupling constant.http://link.springer.com/article/10.1007/JHEP01(2018)0081/N ExpansionField Theories in Lower DimensionsNonperturbative Effects |
| spellingShingle | Yitzhak Frishman Jacob Sonnenschein On bound-states of the Gross Neveu model with massive fundamental fermions Journal of High Energy Physics 1/N Expansion Field Theories in Lower Dimensions Nonperturbative Effects |
| title | On bound-states of the Gross Neveu model with massive fundamental fermions |
| title_full | On bound-states of the Gross Neveu model with massive fundamental fermions |
| title_fullStr | On bound-states of the Gross Neveu model with massive fundamental fermions |
| title_full_unstemmed | On bound-states of the Gross Neveu model with massive fundamental fermions |
| title_short | On bound-states of the Gross Neveu model with massive fundamental fermions |
| title_sort | on bound states of the gross neveu model with massive fundamental fermions |
| topic | 1/N Expansion Field Theories in Lower Dimensions Nonperturbative Effects |
| url | http://link.springer.com/article/10.1007/JHEP01(2018)008 |
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