Fermions on Lifshitz Background

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages, 11 figures, V3: Refs. added, Charged fermions added

Scientific paper

We study a non-relativistic fermionic retarded Green's function by making use of a fermion on the Lifshitz geometry with critical exponent z = 2. With a natural boundary condition, respecting the symmetries of the model, the resultant retarded Green's function exhibits a number of interesting features including a flat band. We also study the finite temperature and finite chemical potential cases where the geometry is replaced by Lifshitz black hole solutions.

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