QCD 3 on the world sheet
Abstract In this article, we apply the world sheet approach developed in earlier work to QCD in 1+2 dimensions. The starting point is a field theory on the world sheet that reproduces the planar graphs of QCD parametrized by the light cone variables. We study the ground state of this model using a v...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2019)112 |
| _version_ | 1818149677552369664 |
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| author | K. Bardakci |
| author_facet | K. Bardakci |
| author_sort | K. Bardakci |
| collection | DOAJ |
| description | Abstract In this article, we apply the world sheet approach developed in earlier work to QCD in 1+2 dimensions. The starting point is a field theory on the world sheet that reproduces the planar graphs of QCD parametrized by the light cone variables. We study the ground state of this model using a variational approximation, and show that it consists of a set graphs infinitely dense on the world sheet. The energy of this new ground state is lower than that of the empty world sheet, signaling a phase transition. Also, a finite mass is generated in the originally massless theory. Finally, we consider a particular set of time dependent fluctuations about the static ground state configuration, which result in the formation of a string on the world sheet. |
| first_indexed | 2024-12-11T13:10:50Z |
| format | Article |
| id | doaj.art-a6e994e9eb1347d4b0eb9bfa5a3da5e6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T13:10:50Z |
| publishDate | 2019-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a6e994e9eb1347d4b0eb9bfa5a3da5e62022-12-22T01:06:12ZengSpringerOpenJournal of High Energy Physics1029-84792019-07-012019711910.1007/JHEP07(2019)112QCD 3 on the world sheetK. Bardakci0Theoretical Physics Group, Lawrence Berkeley National Laboratory, University of CaliforniaAbstract In this article, we apply the world sheet approach developed in earlier work to QCD in 1+2 dimensions. The starting point is a field theory on the world sheet that reproduces the planar graphs of QCD parametrized by the light cone variables. We study the ground state of this model using a variational approximation, and show that it consists of a set graphs infinitely dense on the world sheet. The energy of this new ground state is lower than that of the empty world sheet, signaling a phase transition. Also, a finite mass is generated in the originally massless theory. Finally, we consider a particular set of time dependent fluctuations about the static ground state configuration, which result in the formation of a string on the world sheet.http://link.springer.com/article/10.1007/JHEP07(2019)112Bosonic StringsField Theories in Lower DimensionsGauge Symmetry |
| spellingShingle | K. Bardakci QCD 3 on the world sheet Journal of High Energy Physics Bosonic Strings Field Theories in Lower Dimensions Gauge Symmetry |
| title | QCD 3 on the world sheet |
| title_full | QCD 3 on the world sheet |
| title_fullStr | QCD 3 on the world sheet |
| title_full_unstemmed | QCD 3 on the world sheet |
| title_short | QCD 3 on the world sheet |
| title_sort | qcd 3 on the world sheet |
| topic | Bosonic Strings Field Theories in Lower Dimensions Gauge Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP07(2019)112 |
| work_keys_str_mv | AT kbardakci qcd3ontheworldsheet |