an:06937462
Zbl 1395.83034
Loran, Farhang
Fermionic one-particle states in curved spacetimes
EN
J. High Energy Phys. 2018, No. 7, Paper No. 71, 26 p. (2018).
00414450
2018
j
83C47 81T16 81S40
nonperturbative effects; field theories in lower dimensions
Summary: We show that a notion of one-particle state and the corresponding vacuum state exists in general curved backgrounds for spin \( \frac{1}{2} \) fields. A curved spacetime can be equipped with a coordinate system in which the metric component \(g_{--} = 0\). We separate the component of the left-handed massless Dirac field which is annihilated by the null vector \( \partial_- \) and compute the corresponding Feynman propagator. We find that the propagating modes are localized on two dimensional subspaces and the Feynman propagator is similar to the Feynman propagator of chiral fermions in two dimensional Minkowski spacetime. Therefore, it can be interpreted in terms of one-particle states and the corresponding vacuum state similarly to the second quantization in Minkowski spacetime.