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Parity anomaly with impurities and the Pauli--Villars subtraction

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arxiv 2305.11972 v1 pith:QLNC467Z submitted 2023-05-19 hep-th cond-mat.mes-hall

Parity anomaly with impurities and the Pauli--Villars subtraction

classification hep-th cond-mat.mes-hall
keywords impuritiespauli--villarsanomalousanomalyarbitrarycalculateconsequencesconsider
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the anomalous part of the polarization tensor of Dirac fermions in $2+1$ dimensions in the presence of impurities described by the scattering rate $\Gamma$ for arbitrary external frequency and momenta. We consider two different versions of the Pauli--Villars subtractions and discuss their physical consequences.

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