Quarks, gluons, and frustrated antiferromagnets - art. no. 034505

The contractor renormalization group method is used to establish the equiva lence of various Hamiltonian free fermion theories and a class of generaliz ed frustrated antiferromagnets. In particular, after a derailed discussion of a simple example, it is argued that a generalized frustrated SU(3) antif erromagnet whose single-site states have the quantum numbers of mesons and baryons is equivalent to a theory of free massless quarks. Furthermore, it is argued that for slight modification of the couplings which define the fr ustrated antiferromagnet Hamiltonian, the theory becomes a theory of quarks interacting with color gauge fields.