English

On the geometrical interpretation of locality in anomaly cancellation

Mathematical Physics 2019-07-02 v1 math.MP

Abstract

A notion of local section of the determinant line bundle is defined giving necessary and suficient conditions for anomaly cancellation compatible with locality. This definition gives an intrinsic geometrical interpretation of the local counterterms allowed in the renormalization program of quantum field theory. For global anomalies the conditions for anomaly cancellation are expressed in terms of the equivariant holonomy of the Bismut-Freed connection.

Keywords

Cite

@article{arxiv.1805.07122,
  title  = {On the geometrical interpretation of locality in anomaly cancellation},
  author = {Roberto Ferreiro Pérez},
  journal= {arXiv preprint arXiv:1805.07122},
  year   = {2019}
}