Induced Angular Momentum in (2+1)-Dimensional Spinor Electrodynamics in Curved Space

TL;DR

This paper investigates how fermion-vacuum polarization in a curved 2+1-dimensional space with nontrivial topology induces angular momentum, revealing dependence on global space and field properties.

Contribution

It derives an expression for vacuum angular momentum in curved space, highlighting its dependence on global topological and field characteristics, extending previous flat-space results.

Findings

Vacuum angular momentum depends on global topology.

Expression derived for angular momentum in curved space.

Results show similarities to vacuum fermion number behavior.

Abstract

Effects due to fermion-vacuum polarization by an external static magnetic field are considered in a two-dimensional noncompact curved space with a nontrivial topology. An expression for the vacuun angular momentum is obtained. Like the vacuum fermion number, it proves to be dependent on the global characteristics of the field and space.