Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term
Using the symplectic framework of Faddeev-Jackiw, the three-dimensional Palatini theory plus a Chern-Simons term [P-CS] is analyzed. We report the complete set of Faddeev-Jackiw constraints and we identify the corresponding generalized Faddeev-Jackiw brackets. With these results, we show that althou...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/3474760 |
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| _version_ | 1849467868700213248 |
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| author | Alberto Escalante Prihel Cavildo-Sánchez |
| author_facet | Alberto Escalante Prihel Cavildo-Sánchez |
| author_sort | Alberto Escalante |
| collection | DOAJ |
| description | Using the symplectic framework of Faddeev-Jackiw, the three-dimensional Palatini theory plus a Chern-Simons term [P-CS] is analyzed. We report the complete set of Faddeev-Jackiw constraints and we identify the corresponding generalized Faddeev-Jackiw brackets. With these results, we show that although P-CS produces Einstein’s equations, the generalized brackets depend on a Barbero-Immirzi-like parameter. In addition, we compare our results with those found in the canonical analysis showing that both formalisms lead to the same results. |
| format | Article |
| id | doaj-art-e1121afbc566471f8061e762e7afd099 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e1121afbc566471f8061e762e7afd0992025-08-20T03:26:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/34747603474760Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons TermAlberto Escalante0Prihel Cavildo-Sánchez1Instituto de Física Luis Rivera Terrazas, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570 Puebla, PUE, MexicoInstituto de Física Luis Rivera Terrazas, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570 Puebla, PUE, MexicoUsing the symplectic framework of Faddeev-Jackiw, the three-dimensional Palatini theory plus a Chern-Simons term [P-CS] is analyzed. We report the complete set of Faddeev-Jackiw constraints and we identify the corresponding generalized Faddeev-Jackiw brackets. With these results, we show that although P-CS produces Einstein’s equations, the generalized brackets depend on a Barbero-Immirzi-like parameter. In addition, we compare our results with those found in the canonical analysis showing that both formalisms lead to the same results.http://dx.doi.org/10.1155/2018/3474760 |
| spellingShingle | Alberto Escalante Prihel Cavildo-Sánchez Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term Advances in Mathematical Physics |
| title | Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term |
| title_full | Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term |
| title_fullStr | Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term |
| title_full_unstemmed | Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term |
| title_short | Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term |
| title_sort | symplectic approach of three dimensional palatini theory plus a chern simons term |
| url | http://dx.doi.org/10.1155/2018/3474760 |
| work_keys_str_mv | AT albertoescalante symplecticapproachofthreedimensionalpalatinitheoryplusachernsimonsterm AT prihelcavildosanchez symplecticapproachofthreedimensionalpalatinitheoryplusachernsimonsterm |