BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY

@article{Carey2000BUNDLEGA,
  title={BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY},
  author={Alan Carey and Jouko Mickelsson and Michael K. Murray},
  journal={Reviews in Mathematical Physics},
  year={2000},
  volume={12},
  pages={65-90}
}
This paper reviews recent work on a new geometric object called a bundle gerbe and discusses some new examples arising in quantum field theory. One application is to an Atiyah–Patodi–Singer index theory construction of the bundle of fermionic Fock spaces parameterized by vector potentials in odd space dimensions and a proof that this leads in a simple manner to the known Schwinger terms (Mickelsson–Faddeev cocycle) for the gauge group action. This gives an explicit computation of the Dixmier… 

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