2004/10/31 by Yu. A. Sitenko, Yurii A. Sitenko, V. Gorkavenko +1
Mathematics · Physics and Astronomy · #Angular momentum #Boundary (topology) #Boundary value problem #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fermion #Magnetic field #Magnetic flux #Magnetic flux quantum #Mathematical analysis #Mathematics #Mechanics #Momentum (technical analysis) #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quantum number #Quantum, superfluid, helium dynamics #Spin (aerodynamics) #Total angular momentum quantum number #Vortex #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.01.040
published as Nucl.Phys. B714 (2005) 217-255 · 40 pages, 7 figures, journal version, minor corrections
arxiv created 2005/02/15 · openalex publication_date 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The phenomenon of the finite-temperature induced quantum numbers in fermionic systems with topological defects is analyzed. We consider an ideal gas of twodimensional relativistic massive electrons in the background of a defect in the form of a pointlike magnetic vortex with arbitrary flux. This system is found to acquire, in addition to fermion number, also orbital angular momentum, spin, and induced magnetic flux, and we determine the functional dependence of the appropriate thermal averages and correlations on the temperature, the vortex flux, and the continuous parameter of the boundary condition at the location of the defect. We find that nonnegativeness of thermal quadratic fluctuations imposes a restriction on the admissible range of values of the boundary parameter. The long-standing problem of the adequate definition of total angular momentum for the system considered is resolved.