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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1434-6044 1434-6052 |