Quantization of Dirac fields in static spacetime

Abstract

On a static spacetime, the solutions of the Dirac equation are generated by a time-independent Hamiltonian. We study this Hamiltonian and characterize the split into positive and negative energy. We use it to find explicit expressions for advanced and retarded fundamental solutions and for the propagator. Finally, we use a fermion Fock space based on the positive/negative energy split to define a Dirac quantum field operator whose commutator is the propagator.

LaTex2e, 17 pages

References in corpus (2)

• The Hadamard Condition for Dirac Fields and Adiabatic States on Robertson-Walker Spacetimes
• Scattering of massive Dirac fields on the Schwarzschild black hole spacetime

Cited by in corpus (5)

• Fermions without Vierbeins in Curved Space-Time
• Quantum field theory in static external potentials and Hadamard states
• Quantum physics, fields and closed timelike curves: The D-CTC condition in quantum field theory
• Common Space of Spin and Spacetime
• Quantization of massless fields over the static Robertson-Walker space of constant negative curvature