Trace anomaly for chiral fermions via Hadamard subtraction

@article{Frob2019TraceAF,
  title={Trace anomaly for chiral fermions via Hadamard subtraction},
  author={Markus B. Frob and Jochen Zahn},
  journal={Journal of High Energy Physics},
  year={2019},
  volume={2019},
  pages={223}
}
  • Markus B. Frob, Jochen Zahn
  • Published 2019
  • Physics
  • Journal of High Energy Physics
  • We calculate the trace (conformal) anomaly for chiral fermions in a general curved background using Hadamard subtraction. While in intermediate steps of the calculation imaginary terms proportional to the Pontryagin density appear, imposing a vanishing divergence of the stress tensor these terms completely cancel, and we recover the well-known result equal to half the trace anomaly of a Dirac fermion. We elaborate in detail on the advantages of the Hadamard method for the general definition of… CONTINUE READING