The Extended Algebra of Observables for Dirac Fields and the Trace Anomaly of Their Stress-Energy 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 stress-energy tensor suited for back-reaction 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
- E-Print:
- 65 pages