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arxiv 1003.2180 v2 pith:HLYUU4NW submitted 2010-03-10 hep-lat hep-phhep-th

Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory

classification hep-lat hep-phhep-th
keywords fieldmagneticconductivitylatticephasequenchedtheorycomponents
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the correlator of two vector currents in quenched $SU\lr{2}$ lattice gauge theory with a chirally invariant lattice Dirac operator with a constant external magnetic field. It is found that in the confinement phase the correlator of the components of the current parallel to the magnetic field decays much slower than in the absence of a magnetic field, while for other components the correlation length slightly decreases. We apply the maximal entropy method to extract the corresponding spectral function. In the limit of zero frequency this spectral function yields the electric conductivity of the quenched theory. We find that in the confinement phase the external magnetic field induces nonzero electric conductivity along the direction of the field, transforming the system from an insulator into an anisotropic conductor. In the deconfinement phase the conductivity does not exhibit any sizable dependence on the magnetic field.

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