The Extended Algebra of Observables for Dirac Fields and the Trace Anomaly of Their StressEnergy Tensor
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 stressenergy tensor suited for backreaction computations. We shall explicitly calculate its trace anomaly in particular.
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 2009
 DOI:
 10.1142/S0129055X09003864
 arXiv:
 arXiv:0904.0612
 Bibcode:
 2009RvMaP..21.1241D
 Keywords:

 Quantum field theory over curved backgrounds;
 spinor fields;
 conformal anomaly;
 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 65 pages