Statistics, Condensation and the Anderson-Higgs Mechanism: The Worldline Path Integral View

Details Statistics, Condensation and the Anderson-Higgs Mechanism: The Worldline Path Integral View Statistics, Condensation and the Anderson-Higgs Mechanism: The Worldline Path Integral View

2008-07-08

arxiv.org/abs/0807.1279v2

Phys. Rev. B 78, 144504 (2008)

Physics

Condensed Matter

Superconductivity

10 pages, no figures; typos corrected

Scientific paper

10.1103/PhysRevB.78.144504

We explain, in the first quantized path integral formalism, the mechanism behind the Anderson-Higgs effect for a gas of charged bosons in a background magnetic field, and then use the method to prove the absence of the effect for a gas of fermions. The exchange statistics are encoded via the inclusion of additional Grassmann coordinates in a manner that leads to a manifest worldline supersymmetry. This extra symmetry is key in demonstrating the absence of the effect for charged fermions.

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