The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions

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In this work, we study the relativistic quantum kinetic equations in 2+1 dimensions from Wigner function formalism by carrying out a systematic semi-classical expansion up to $\hbar$ order.

• The derived equations allow us to explore interesting transport phenomena in 2+1 dimensions.
• Within this framework, the parity-odd transport current induced by the external electromagnetic field is self-consistently derived.
• We also examine the dynamical mass generation by implementing four-fermion interaction with mean-field approximation.