https://doi.org/10.1140/epjc/s10052-020-7705-4
Regular Article - Theoretical Physics
Current correlation functions from a bosonized theory in 
dimensions
1
Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, 8400, Bariloche, Argentina
2
Departamento de Física, Universidad Nacional de La Plata Instituto de Física La Plata-CONICET, C.C. 67, 1900, La Plata, Argentina
* e-mail: fosco@cab.cnea.gov.ar
Received:
8
October
2019
Accepted:
2
February
2020
Published online:
14
February
2020
Within the context of a bosonized theory, we evaluate the current-current correlation functions corresponding to a massive Dirac field in 
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.
© The Author(s), 2020
