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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