A complete set of eigenfunctions on a two-dimensional sphere is obtained for the Dirac operator corresponding to a vortexlike Abelian potential. Then a decompactification limit is studied from the sphere to R2, in which the potential leads to a constant field configuration. The chiral anomaly is studied by using first-order perturbation theory and the crucial role played by zero modes in this context is carefully discussed.
CHIRAL ANOMALIES FOR VORTEX POTENTIALS IN 2 DIMENSIONS AND A DECOMPACTIFICATION LIMIT / A., Bassetto; Griguolo, Luca. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 32:11(1991), pp. 3195-3198. [10.1063/1.529478]
CHIRAL ANOMALIES FOR VORTEX POTENTIALS IN 2 DIMENSIONS AND A DECOMPACTIFICATION LIMIT
GRIGUOLO, Luca
1991-01-01
Abstract
A complete set of eigenfunctions on a two-dimensional sphere is obtained for the Dirac operator corresponding to a vortexlike Abelian potential. Then a decompactification limit is studied from the sphere to R2, in which the potential leads to a constant field configuration. The chiral anomaly is studied by using first-order perturbation theory and the crucial role played by zero modes in this context is carefully discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
