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Current correlation functions from a bosonized theory in 3/2+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3/2+1$$\end{document} dimensions

Authors
  • Fosco, C. D.1
  • Schaposnik, F. A.2
  • 1 Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, Bariloche, 8400, Argentina , Bariloche (Argentina)
  • 2 Universidad Nacional de La Plata Instituto de Física La Plata-CONICET, C.C. 67, La Plata, 1900, Argentina , La Plata (Argentina)
Type
Published Article
Journal
The European Physical Journal C
Publisher
Springer-Verlag
Publication Date
Feb 14, 2020
Volume
80
Issue
2
Identifiers
DOI: 10.1140/epjc/s10052-020-7705-4
Source
Springer Nature
License
Green

Abstract

Within the context of a bosonized theory, we evaluate the current-current correlation functions corresponding to a massive Dirac field in 2+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2+1$$\end{document} 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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