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arXiv · 0904.0612

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

Claudio Dappiaggi·Thomas-Paul Hack·Nicola Pinamonti
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Abstract

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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Claudio Dappiaggi, Thomas-Paul Hack, Nicola Pinamonti. 2009-04-03. The extended algebra of observables for Dirac fields and the trace anomaly of their stress-energy tensor. https://doi.org/10.1142/s0129055x09003864

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