Symmetries and Anomalies of Hamiltonian Staggered Fermions

We describe the symmetries of Hamiltonian staggered fermions. We show that a combination of a vector U(1), 

shift, time reversal and charge conjugation symmetres prohibit additive mass renormalization

in the massless theory. We construct explicit operators to implement the time reversal and shift symmetries on a finite lattice

and show that the shift and time reversal symmetries anticommute signifying the existence of a 't Hooft anomaly. By combining the vector charge with the shift symmetries we

are able to generate a set of addiitional conserved charges in the lattice theory. These charges satisfy a non-trivial algebra on a finite lattice which generalizes the Onsager

algebra and which encode the continuum axial anomaly.