Quarks, Gluons and Frustrated Antiferromagnets

Abstract

The Contractor Renormalization Group method (CORE) is used to establish the equivalence of various Hamiltonian free fermion theories and a class of generalized frustrated antiferromagnets. In particular, after a detailed discussion of a simple example, it is argued that a generalized frustrated SU(3) antiferromagnet 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 frustrated antiferromagnet Hamiltonian, the theory becomes a theory of quarks interacting with color gauge-fields.

21 pages, Latex

Cited by in corpus (5)

• CORE and the Haldane Conjecture
• Exploring Contractor Renormalization: Tests on the 2-D Heisenberg Antiferromagnet and Some New Perspectives
• The Strongly Coupled 't Hooft Model on the Lattice
• Spin Dynamics of Trimers on a Distorted Kagomé Lattice
• Contractor renormalization group theory of the SU($N$) chains and ladders