# Anomaly matching condition in two-dimensional systems

@article{Dubinkin2016AnomalyMC, title={Anomaly matching condition in two-dimensional systems}, author={Oleg Dubinkin and A. Gorsky and Elena Gubankova}, journal={Physical Review D}, year={2016}, volume={94}, pages={085023} }

Based on the Son-Yamamoto relation obtained for the transverse part of the triangle axial anomaly in ${\mathrm{QCD}}_{4}$, we derive its analog in a two-dimensional system. It connects the transverse part of the mixed vector-axial current two-point function with the diagonal vector and axial current two-point functions. Being fully nonperturbative, this relation may be regarded as anomaly matching for conductivities or certain transport coefficients depending on the system. We consider the…

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