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

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arxiv 0904.0612 v1 pith:TRGJUF7N submitted 2009-04-03 math-ph gr-qchep-thmath.MP

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

classification math-ph gr-qchep-thmath.MP
keywords anomalydiracfieldsnotionstress-energytensortracealgebra
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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