2020/07/11 by E. A. F. Bragança, E. R. Bezerra de Mello, Bragança, E. A. F. +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum and electron transport phenomena
paper · pdf · doi:10.48550/arxiv.2007.05770
openalex publication_date 2020/07/11 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this paper we analyze the vacuum bosonic current and polarization induced\nby a magnetic flux running along a higher dimensional cosmic string in the\npresence of a flat boundary orthogonal to the string. In our analysis we assume\nthat the quantum field obeys Dirichlet or Neunmann conditions on the flat\nboundary. In order to develop this analysis we calculate the corresponding\nWightman function. As consequence of the boundary, the Wightamn function is\nexpressed in term of two contributions: The first one corresponds to the\nboundary-free cosmic string Wightman function, while the second one is induced\nby the boundary. The boundary-induced contributions have opposite signs for\nDirichlet and Newman scalars. Because the analysis of vacuum current and\npolarization effects in the boundary-free cosmic string spacetime have been\ndeveloped in the literature, here we are mainly interested in the calculations\nof the effects induced by the boundary. Regarding to the induced current, we\nshow that, depending on the condition adopted, the boundary-induced azimuthal\ncurrent can cancel or intensifies the total induced azimuthal current on the\nboundary; moreover, the boundary-induced azimuthal current is a periodic odd\nfunction of the magnetic flux. As to the vacuum expectation values of the field\nsquared and the energy-momentum tensor, the boundary-induced contributions are\neven functions of magnetic flux. In particular, we consider some special cases\nof the boundary-induced part of the energy density and evaluate the normal\nvacuum force on the boundary.\n