From BFV to BV and spacetime covariance
Abstract The BFV formulation of a given gauge theory is usually significantly easier to obtain than its BV formulation. Based on foundational work by Fisch and Henneaux, Grigoriev and Damgaard introduced simple formulas for obtaining the latter from the former. Since BFV relies on the Hamiltonian ve...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2020)141 |
| _version_ | 1818591075897442304 |
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| author | Noriaki Ikeda Thomas Strobl |
| author_facet | Noriaki Ikeda Thomas Strobl |
| author_sort | Noriaki Ikeda |
| collection | DOAJ |
| description | Abstract The BFV formulation of a given gauge theory is usually significantly easier to obtain than its BV formulation. Based on foundational work by Fisch and Henneaux, Grigoriev and Damgaard introduced simple formulas for obtaining the latter from the former. Since BFV relies on the Hamiltonian version of the gauge theory, however, it does not come as a surprise that in general the resulting BV theory does not exhibit spacetime covariance. We provide an explicit example of this phenomenon in two spacetime dimensions and show how to restore covariance of the BV data by improving the Fisch-Henneaux-Grigoriev-Damgaard procedure with appropriate adaptations of their formulas. |
| first_indexed | 2024-12-16T10:06:41Z |
| format | Article |
| id | doaj.art-896662e6f9a546aea692a191b93294a4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T10:06:41Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-896662e6f9a546aea692a191b93294a42022-12-21T22:35:38ZengSpringerOpenJournal of High Energy Physics1029-84792020-12-0120201214210.1007/JHEP12(2020)141From BFV to BV and spacetime covarianceNoriaki Ikeda0Thomas Strobl1Department of Mathematical Sciences, Ritsumeikan UniversityInstitut Camille Jordan, Université Claude Bernard Lyon 1Abstract The BFV formulation of a given gauge theory is usually significantly easier to obtain than its BV formulation. Based on foundational work by Fisch and Henneaux, Grigoriev and Damgaard introduced simple formulas for obtaining the latter from the former. Since BFV relies on the Hamiltonian version of the gauge theory, however, it does not come as a surprise that in general the resulting BV theory does not exhibit spacetime covariance. We provide an explicit example of this phenomenon in two spacetime dimensions and show how to restore covariance of the BV data by improving the Fisch-Henneaux-Grigoriev-Damgaard procedure with appropriate adaptations of their formulas.https://doi.org/10.1007/JHEP12(2020)141Gauge SymmetrySpace-Time SymmetriesBRST QuantizationGlobal Symmetries |
| spellingShingle | Noriaki Ikeda Thomas Strobl From BFV to BV and spacetime covariance Journal of High Energy Physics Gauge Symmetry Space-Time Symmetries BRST Quantization Global Symmetries |
| title | From BFV to BV and spacetime covariance |
| title_full | From BFV to BV and spacetime covariance |
| title_fullStr | From BFV to BV and spacetime covariance |
| title_full_unstemmed | From BFV to BV and spacetime covariance |
| title_short | From BFV to BV and spacetime covariance |
| title_sort | from bfv to bv and spacetime covariance |
| topic | Gauge Symmetry Space-Time Symmetries BRST Quantization Global Symmetries |
| url | https://doi.org/10.1007/JHEP12(2020)141 |
| work_keys_str_mv | AT noriakiikeda frombfvtobvandspacetimecovariance AT thomasstrobl frombfvtobvandspacetimecovariance |