Symmetries and spectrum of SU(2) Lattice Gauge Theory at finite chemical potential

We study SU(2) Lattice Gauge Theory with dynamical fermions at non-zero chemical potential $\mu$. The symmetries special to SU(2) for staggered fermions on the lattice are discussed explicitly and their relevance to spectroscopy and condensates at non-zero chemical potential are considered. Using the molecular dynamics algorithm on small lattices we find qualitative changes in the theory's spectroscopy at small and large values of $\mu$. This preliminary study should lay the groundwork for future large scale simulations.