Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theory
Abstract In this paper we consider introducing careful regularization at the quantization of Maxwell theory in the asymptotic null infinity. This allows systematic discussions of the commutators in various boundary conditions, and application of Dirac brackets accordingly in a controlled manner. Thi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-03-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2018)027 |
| _version_ | 1819044748067864576 |
|---|---|
| author | Arpan Bhattacharyya Ling-Yan Hung Yikun Jiang |
| author_facet | Arpan Bhattacharyya Ling-Yan Hung Yikun Jiang |
| author_sort | Arpan Bhattacharyya |
| collection | DOAJ |
| description | Abstract In this paper we consider introducing careful regularization at the quantization of Maxwell theory in the asymptotic null infinity. This allows systematic discussions of the commutators in various boundary conditions, and application of Dirac brackets accordingly in a controlled manner. This method is most useful when we consider asymptotic charges that are not localized at the boundary u → ±∞ like large gauge transformations. We show that our method reproduces the operator algebra in known cases, and it can be applied to other space-time symmetry charges such as the BMS transformations. We also obtain the asymptotic form of the U(1) charge following from the electromagnetic duality in an explicitly EM symmetric Schwarz-Sen type action. Using our regularization method, we demonstrate that the charge generates the expected transformation of a helicity operator. Our method promises applications in more generic theories. |
| first_indexed | 2024-12-21T10:17:36Z |
| format | Article |
| id | doaj.art-df5d748eb4404dd299fc03ab6c0b6f20 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T10:17:36Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-df5d748eb4404dd299fc03ab6c0b6f202022-12-21T19:07:33ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018312510.1007/JHEP03(2018)027Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theoryArpan Bhattacharyya0Ling-Yan Hung1Yikun Jiang2Department of Physics and Center for Field Theory and Particle Physics, Fudan UniversityDepartment of Physics and Center for Field Theory and Particle Physics, Fudan UniversityDepartment of Physics and Center for Field Theory and Particle Physics, Fudan UniversityAbstract In this paper we consider introducing careful regularization at the quantization of Maxwell theory in the asymptotic null infinity. This allows systematic discussions of the commutators in various boundary conditions, and application of Dirac brackets accordingly in a controlled manner. This method is most useful when we consider asymptotic charges that are not localized at the boundary u → ±∞ like large gauge transformations. We show that our method reproduces the operator algebra in known cases, and it can be applied to other space-time symmetry charges such as the BMS transformations. We also obtain the asymptotic form of the U(1) charge following from the electromagnetic duality in an explicitly EM symmetric Schwarz-Sen type action. Using our regularization method, we demonstrate that the charge generates the expected transformation of a helicity operator. Our method promises applications in more generic theories.http://link.springer.com/article/10.1007/JHEP03(2018)027Space-Time SymmetriesDuality in Gauge Field Theories |
| spellingShingle | Arpan Bhattacharyya Ling-Yan Hung Yikun Jiang Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theory Journal of High Energy Physics Space-Time Symmetries Duality in Gauge Field Theories |
| title | Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theory |
| title_full | Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theory |
| title_fullStr | Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theory |
| title_full_unstemmed | Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theory |
| title_short | Null hypersurface quantization, electromagnetic duality and asympotic symmetries of Maxwell theory |
| title_sort | null hypersurface quantization electromagnetic duality and asympotic symmetries of maxwell theory |
| topic | Space-Time Symmetries Duality in Gauge Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP03(2018)027 |
| work_keys_str_mv | AT arpanbhattacharyya nullhypersurfacequantizationelectromagneticdualityandasympoticsymmetriesofmaxwelltheory AT lingyanhung nullhypersurfacequantizationelectromagneticdualityandasympoticsymmetriesofmaxwelltheory AT yikunjiang nullhypersurfacequantizationelectromagneticdualityandasympoticsymmetriesofmaxwelltheory |