Angular Momentum Induced In The Fermionic Vacuum On A Rotationally-Symmetric Noncompact Riemann Surface
Yu. A. Sitenko, D. G. Rakityansky
TL;DR
This paper investigates how the geometry of a surface affects vacuum polarization and angular momentum in 2+1D spinor electrodynamics, highlighting the role of curvature in vacuum properties and fermion number fractionization.
Contribution
It reveals the dependence of vacuum angular momentum on global geometric surface characteristics related to curvature in a noncompact Riemann surface.
Findings
Vacuum angular momentum depends on surface curvature.
Geometry influences vacuum polarization in 2+1D electrodynamics.
Results relate to fermion number fractionization phenomena.
Abstract
The influence of spatial geometry on the vacuum polarization in 2+1-dimensional spinor electrodynamics is investigated. The vacuum angular momentum induced by an external static magnetic field is found to depend on global geometric surface characteristics connected with curvature. The relevance of the results obtained for the fermion number fractionization is discussed.
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Taxonomy
TopicsRelativity and Gravitational Theory · Quantum Electrodynamics and Casimir Effect · Noncommutative and Quantum Gravity Theories