Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-09-11
Int.J.Mod.Phys. A14 (1999) 4749-4762
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, 1 figure Two references added To be published in International Journal of Modern Physics A
Scientific paper
10.1142/S0217751X99002232
We study the problem of a Dirac field in the background of an Aharonov-Bohm flux string. We exclude the origin by imposing spectral boundary conditions at a finite radius then shrinked to zero. Thus, we obtain a behaviour of eigenfunctions which is compatible with the self-adjointness of the radial Hamiltonian and the invariance under integer translations of the reduced flux. After confining the theory to a finite region, we check the consistency with the index theorem, and evaluate its vacuum fermionic number and Casimir energy.
Beneventano C. G.
Francia Marcelo de
Santangelo Eve Mariel
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