Rotor Spectra, Berry Phases, and Monopole Fields: from Antiferromagnets to QCD
S. Chandrasekharan, F. -J. Jiang, M. Pepe, U. -J. Wiese
Abstract
The order parameter of a finite system with a spontaneously broken continuous global symmetry acts as a quantum mechanical rotor. Both antiferromagnets with a spontaneously broken SU(2)s spin symmetry and massless QCD with a broken SU(2)L × SU(2)R chiral symmetry have rotor spectra when considered in a finite volume. When an electron or hole is doped into an antiferromagnet or when a nucleon is propagating through the QCD vacuum, a Berry phase arises from a monopole field and the angular momentum of the rotor is quantized in half-integer units.
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