Rotor Spectra, Berry Phases, and Monopole Fields: from Antiferromagnets to QCD

Details Rotor Spectra, Berry Phases, and Monopole Fields: from Antiferromagnets to QCD Rotor Spectra, Berry Phases, and Monopole Fields: from Antiferromagnets to QCD

2006-12-11

arxiv.org/abs/cond-mat/0612252v1

Phys.Rev.D78:077901,2008

Physics

Condensed Matter

Other Condensed Matter

4 pages

Scientific paper

10.1103/PhysRevD.78.077901

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 $SU(2)_L \times SU(2)_R$ 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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