The Extended algebra of observables for Dirac fields and the trace anomaly of their stress-energy tensor

@article{Dappiaggi2009TheEA,
  title={The Extended algebra of observables for Dirac fields and the trace anomaly of their stress-energy tensor},
  author={C. Dappiaggi and Thomas-Paul Hack and N. Pinamonti},
  journal={Reviews in Mathematical Physics},
  year={2009},
  volume={21},
  pages={1241-1312}
}
  • C. Dappiaggi, Thomas-Paul Hack, N. Pinamonti
  • Published 2009
  • Physics, Mathematics
  • Reviews in Mathematical Physics
  • We discuss from scratch the classical structure of Dirac spinors on an arbitrary globally hyperbolic, Lorentzian spacetime, their formulation as a locally covariant quantum field theory, and the associated notion of a Hadamard state. Eventually, we develop the notion of Wick polynomials for spinor fields, and we employ the latter to construct a covariantly conserved stress-energy tensor suited for back-reaction computations. We shall explicitly calculate its trace anomaly in particular. 
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