Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensions
Abstract Within the context of a bosonized theory, we evaluate the current-current correlation functions corresponding to a massive Dirac field in $$2+1$$ 2+1 dimensions, which is constrained to a spatial half-plane. The boundary conditions are imposed on the dual theory, and have the form of of per...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-020-7705-4 |
| _version_ | 1818416489266413568 |
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| author | C. D. Fosco F. A. Schaposnik |
| author_facet | C. D. Fosco F. A. Schaposnik |
| author_sort | C. D. Fosco |
| collection | DOAJ |
| description | Abstract Within the context of a bosonized theory, we evaluate the current-current correlation functions corresponding to a massive Dirac field in $$2+1$$ 2+1 dimensions, which is constrained to a spatial half-plane. The boundary conditions are imposed on the dual theory, and have the form of of perfect-conductor conditions. We also consider, for the sake of comparison, the purely fermionic version of the model and its boundary conditions, in the large-mass limit. We apply the result about the dual theory to the evaluation of induced vacuum currents in the presence of an external field, in a spatial half-plane. |
| first_indexed | 2024-12-14T11:51:42Z |
| format | Article |
| id | doaj.art-eee39208dbfb4c529938249fcebb3c6b |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-14T11:51:42Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-eee39208dbfb4c529938249fcebb3c6b2022-12-21T23:02:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-02-018021710.1140/epjc/s10052-020-7705-4Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensionsC. D. Fosco0F. A. Schaposnik1Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía AtómicaDepartamento de Física, Universidad Nacional de La Plata Instituto de Física La Plata-CONICETAbstract Within the context of a bosonized theory, we evaluate the current-current correlation functions corresponding to a massive Dirac field in $$2+1$$ 2+1 dimensions, which is constrained to a spatial half-plane. The boundary conditions are imposed on the dual theory, and have the form of of perfect-conductor conditions. We also consider, for the sake of comparison, the purely fermionic version of the model and its boundary conditions, in the large-mass limit. We apply the result about the dual theory to the evaluation of induced vacuum currents in the presence of an external field, in a spatial half-plane.https://doi.org/10.1140/epjc/s10052-020-7705-4 |
| spellingShingle | C. D. Fosco F. A. Schaposnik Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensions European Physical Journal C: Particles and Fields |
| title | Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensions |
| title_full | Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensions |
| title_fullStr | Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensions |
| title_full_unstemmed | Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensions |
| title_short | Current correlation functions from a bosonized theory in $$3/2+1$$ 3/2+1 dimensions |
| title_sort | current correlation functions from a bosonized theory in 3 2 1 3 2 1 dimensions |
| url | https://doi.org/10.1140/epjc/s10052-020-7705-4 |
| work_keys_str_mv | AT cdfosco currentcorrelationfunctionsfromabosonizedtheoryin321321dimensions AT faschaposnik currentcorrelationfunctionsfromabosonizedtheoryin321321dimensions |