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

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

2009-04-03

arxiv.org/abs/0904.0612v1

Rev.Math.Phys.21:1241-1312,2009

Physics

Mathematical Physics

65 pages

Scientific paper

10.1142/S0129055X09003864

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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