English

What is an anomaly?

High Energy Physics - Theory 2023-07-18 v1 Other Condensed Matter Mathematical Physics math.MP Quantum Physics

Abstract

The anomaly of a quantum field theory is an expression of its projective nature. This starting point quickly leads to its manifestation as a special kind of field theory: a once-categorified invertible theory. We arrive at this statement through a general discussion of projectivity and a discussion of projectivity in quantum mechanics. We conclude with a general formula for the anomaly of a free spinor field.

Keywords

Cite

@article{arxiv.2307.08147,
  title  = {What is an anomaly?},
  author = {Daniel S. Freed},
  journal= {arXiv preprint arXiv:2307.08147},
  year   = {2023}
}

Comments

20 pages, 3 figures

R2 v1 2026-06-28T11:31:57.250Z