Residual gauge symmetry in light-cone electromagnetism
Abstract We analyze the residual gauge freedom in light-cone electromagnetism in four dimensions. The standard boundary conditions involved in the so-called lc 2 formalism, which contains only the two physical degrees of freedom, allow for a subset of residual gauge transformations. We relax the bou...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)215 |
| _version_ | 1827900148250836992 |
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| author | Sucheta Majumdar |
| author_facet | Sucheta Majumdar |
| author_sort | Sucheta Majumdar |
| collection | DOAJ |
| description | Abstract We analyze the residual gauge freedom in light-cone electromagnetism in four dimensions. The standard boundary conditions involved in the so-called lc 2 formalism, which contains only the two physical degrees of freedom, allow for a subset of residual gauge transformations. We relax the boundary conditions imposed on the fields in order to obtain all the residual gauge transformations. We compute the canonical generators for Poincaré and gauge transformations with these relaxed boundary conditions. This enables us to distinguish between the trivial (proper) and large (improper) gauge transformations in light-cone electromagnetism. We then employ the Newman-Penrose formalism to identify the incoming and outgoing radiation fields. We comment on the quadratic form structure of light-cone Hamiltonians, often encountered in lc 2 gauge theories. |
| first_indexed | 2024-03-12T23:27:06Z |
| format | Article |
| id | doaj.art-53130dcab90043d5b958b93ce176e4d8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:27:06Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-53130dcab90043d5b958b93ce176e4d82023-07-16T11:05:24ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023212310.1007/JHEP02(2023)215Residual gauge symmetry in light-cone electromagnetismSucheta Majumdar0ENS de Lyon, CNRS, Laboratoire de physique, UMR 5672Abstract We analyze the residual gauge freedom in light-cone electromagnetism in four dimensions. The standard boundary conditions involved in the so-called lc 2 formalism, which contains only the two physical degrees of freedom, allow for a subset of residual gauge transformations. We relax the boundary conditions imposed on the fields in order to obtain all the residual gauge transformations. We compute the canonical generators for Poincaré and gauge transformations with these relaxed boundary conditions. This enables us to distinguish between the trivial (proper) and large (improper) gauge transformations in light-cone electromagnetism. We then employ the Newman-Penrose formalism to identify the incoming and outgoing radiation fields. We comment on the quadratic form structure of light-cone Hamiltonians, often encountered in lc 2 gauge theories.https://doi.org/10.1007/JHEP02(2023)215Gauge SymmetryGlobal SymmetriesSpace-Time Symmetries |
| spellingShingle | Sucheta Majumdar Residual gauge symmetry in light-cone electromagnetism Journal of High Energy Physics Gauge Symmetry Global Symmetries Space-Time Symmetries |
| title | Residual gauge symmetry in light-cone electromagnetism |
| title_full | Residual gauge symmetry in light-cone electromagnetism |
| title_fullStr | Residual gauge symmetry in light-cone electromagnetism |
| title_full_unstemmed | Residual gauge symmetry in light-cone electromagnetism |
| title_short | Residual gauge symmetry in light-cone electromagnetism |
| title_sort | residual gauge symmetry in light cone electromagnetism |
| topic | Gauge Symmetry Global Symmetries Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP02(2023)215 |
| work_keys_str_mv | AT suchetamajumdar residualgaugesymmetryinlightconeelectromagnetism |