Late time behavior of the massive Dirac field in D-dimensional Minkowski spacetime

TL;DR

This paper analytically investigates the late time decay of massive Dirac fields in D-dimensional Minkowski spacetime, revealing oscillatory inverse power law tails influenced by mass, dimension, and angular mode.

Contribution

It extends previous analyses by deriving explicit asymptotic tail behaviors of the Dirac field in higher-dimensional flat spacetime.

Findings

Massive Dirac fields exhibit oscillatory inverse power law decay.

Decay rates depend on spacetime dimension and angular mode.

Oscillation frequency is determined by the field's mass.

Abstract

To extend previous results on the late time behavior of massive fields, for the Dirac field propagating in the D-dimensional Minkowski spacetime we calculate analytically its asymptotic tails. We find that the massive Dirac field has an oscillatory inverse power law tail. The frequency of the oscillations depends on the mass of the field and the power law decay rate depends on the dimension of the spacetime and the mode number of the angular eigenvalues. We also compare with previous results in curved spacetimes.