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Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations

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Gorini, Cosimo ; Schwab, Peter ; Raimondi, Roberto ; Shelankov, Andrei L.
Date of publication of this fulltext: 09 Jan 2015 12:23


We present a microscopic derivation of the generalized Boltzmann and Eilenberger equations in the presence of non-Abelian gauges for the case of a nonrelativistic disordered Fermi gas. A unified and symmetric treatment of the charge [U(1)] and spin [SU(2)] degrees of freedom is achieved. Within this framework, just as the U(1) Lorentz force generates the Hall effect, so does its SU(2) counterpart ...


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