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Previously (A. Akhmeteli, J. Math. Phys., v. 52, p. 082303 (2011)), the Diracequation in an arbitrary electromagnetic field was shown to be generallyequivalent to a fourth-order equation for just one component of thefour-component Dirac spinor function, and the remaining component can be madereal by a gauge transformation. This work extends the result to the case of theDirac equation in the Yang-Mills field.

The Dirac equation in a Yang-Mills field as an equation for just one real function