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Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations
Harun Basmaci, Hasan Ozgur Cildiroglu·November 19, 2025
hep-thQuantum Physics
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Abstract
We demonstrate that Dirac fermions in 2+1 dimensions, coupled to Abelian gauge fields in multiply-connected regions, exhibit a parity anomaly that directly manifests as Aharonov-Bohm (AB) type topological phases. Using the Fujikawa method, we show that this anomaly reproduces both the AB phase and the spin-dependent Aharonov-Casher (AC) phase. We explicitly calculate the induced topological currents, establishing that their characteristic divergence-free form provides a direct signature of this parity-anomalous topological phase.