Statistics, Condensation and the Anderson-Higgs Mechanism: The Worldline Path Integral View
Superconductivity
2009-10-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0807.1279,
title = {Statistics, Condensation and the Anderson-Higgs Mechanism: The Worldline Path Integral View},
author = {Jian-Huang She and Darius Sadri and Jan Zaanen},
journal= {arXiv preprint arXiv:0807.1279},
year = {2009}
}
Comments
10 pages, no figures; typos corrected