Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories
We study the Faddeev–Jackiw symplectic Hamiltonian reduction for 3 + 1-dimensional free and Abelian gauged Rarita–Schwinger theories that comprise Grassmannian fermionic fields. We obtain the relevant fundamental brackets and find that they are in convenient forms for quantization. The brackets are...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/106580 |
| _version_ | 1826202825768566784 |
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| author | Dengiz, Suat |
| author2 | Massachusetts Institute of Technology. Laboratory for Nuclear Science |
| author_facet | Massachusetts Institute of Technology. Laboratory for Nuclear Science Dengiz, Suat |
| author_sort | Dengiz, Suat |
| collection | MIT |
| description | We study the Faddeev–Jackiw symplectic Hamiltonian reduction for 3 + 1-dimensional free and Abelian gauged Rarita–Schwinger theories that comprise Grassmannian fermionic fields. We obtain the relevant fundamental brackets and find that they are in convenient forms for quantization. The brackets are independent of whether the theories contain mass or gauge fields, and the structures of constraints and symplectic potentials largely determine characteristic behaviors of the theories. We also note that, in contrast to the free massive theory, the Dirac field equations for free massless Rarita–Schwinger theory cannot be obtained in a covariant way. |
| first_indexed | 2024-09-23T12:20:25Z |
| format | Article |
| id | mit-1721.1/106580 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:20:25Z |
| publishDate | 2017 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1065802022-10-01T09:00:51Z Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories Dengiz, Suat Massachusetts Institute of Technology. Laboratory for Nuclear Science Dengiz, Suat We study the Faddeev–Jackiw symplectic Hamiltonian reduction for 3 + 1-dimensional free and Abelian gauged Rarita–Schwinger theories that comprise Grassmannian fermionic fields. We obtain the relevant fundamental brackets and find that they are in convenient forms for quantization. The brackets are independent of whether the theories contain mass or gauge fields, and the structures of constraints and symplectic potentials largely determine characteristic behaviors of the theories. We also note that, in contrast to the free massive theory, the Dirac field equations for free massless Rarita–Schwinger theory cannot be obtained in a covariant way. Scientific and Technical Research Council of Turkey (TUBITAK 2219 Scholarship) 2017-01-20T23:24:23Z 2017-01-20T23:24:23Z 2016-10 2016-07 2016-10-22T03:51:26Z Article http://purl.org/eprint/type/JournalArticle 1434-6044 1434-6052 http://hdl.handle.net/1721.1/106580 Dengiz, Suat. “Faddeev–Jackiw Hamiltonian Reduction for Free and Gauged Rarita–Schwinger Theories.” The European Physical Journal C 76.10 (2016): n. pag. en http://dx.doi.org/10.1140/epjc/s10052-016-4411-3 The European Physical Journal C Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Dengiz, Suat Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories |
| title | Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories |
| title_full | Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories |
| title_fullStr | Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories |
| title_full_unstemmed | Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories |
| title_short | Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories |
| title_sort | faddeev jackiw hamiltonian reduction for free and gauged rarita schwinger theories |
| url | http://hdl.handle.net/1721.1/106580 |
| work_keys_str_mv | AT dengizsuat faddeevjackiwhamiltonianreductionforfreeandgaugedraritaschwingertheories |