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Composite-Field Goldstone States and Higgs Mechanism in Dilute Bose Gases

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arxiv 1110.5126 v2 pith:B7YW6FP2 submitted 2011-10-24 cond-mat.quant-gas hep-phnucl-th

Composite-Field Goldstone States and Higgs Mechanism in Dilute Bose Gases

classification cond-mat.quant-gas hep-phnucl-th
keywords bosedensitycomposite-fieldcondensatediatomdilutegaugegoldstone
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that a composite-field (diatom) Goldstone state is expected in a dilute Bose gas for temperatures between the Bose gas critical temperature where the atom Bose-Einstein condensate appears and the temperature where superfluidity sets in. The presence of superfluidity is tied to the existence of a U(1) charge-two diatom condensate in the system. By promoting the global U(1) symmetry of the theory to a gauge symmetry, we find that the mass of the gauge particle generated through the Anderson-Higgs mechanism is related to the superfluid density via the Meissner effect and the superfluid density is related to the square of the anomalous density in the Bose system.

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