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In this letter we derive new modes for massive Dirac field in the backgroundof a higher-dimensional Schwarzschild black hole. We use in our approach theCartesian gauge defined in local frames. We work in the context of ADD-liketheories, assuming that the Standard Model fields (fermions and bosons) liveonly on a (3+1)-dimensional brane and the extra dimensions of space can belarge in size.

New modes for massive Dirac field in higher dimensional Black Holes