Quantization of spinor field in the Schwarzschild spacetime and spin sums for solutions of the Dirac equation
arXiv:2309.06897 · doi:10.1088/1361-6382/ad1b8f
Abstract
We discuss the problem of canonical quantization of a free massive spinor field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the internal region of the black hole, the canonical commutation relations in the resulting theory hold exactly and the Hamiltonian has the standard form. Spin sums are obtained for solutions of the Dirac equation in the Schwarzschild spacetime.
arXiv comment20 pages, 2 figures. v2: minor revision of the text, figure added, references added
References in corpus (9)
- Are black holes a serious threat to scalar field dark matter models?
- Uniqueness and Self-Conjugacy of Dirac Hamiltonians in arbitrary Gravitational Fields
- Solution of the problem of uniqueness and hermiticity of hamiltonians for Dirac particles in gravitational fields
- Heating up an environment around black holes and inside de Sitter space
- Doubling of physical states in the quantum scalar field theory for a remote observer in the Schwarzschild spacetime
- Remarks on the thermofield double state in 4D black hole background
- Asymptotic behavior of solutions and spectrum of states in the quantum scalar field theory in the Schwarzschild spacetime
- Quantum mechanics of stationary states of particles in a space-time of classical black holes
- The quantum black hole as a theoretical lab, a pedagogical treatment of a new approach