Realizations of chiral symmetry in a spontaneously broken lattice gauge theory

The phase diagram of lattice SU(2) gauge theory with fundamental representation Higgs fields is probed by l= 1 2 and l =1 fermions. Quenched calculations of 〈 Ψ Ψ〉 l show two distinct regions characterized by broken or unbroken chiral symmetry. The location of the boundary between the two regions depends on the representation l of the fermions. For l= 1 2 fermions the presence is verified of Nambu-Goldstone bosons (“pions”) in the broken region and evidence is found for massless physical fermions in the chirally symmetric region. Effects of boundary conditions and the possibility of observing two particle cuts in finite lattice spectrum calculations are commented on also.