Scalar and fermion field interactions with a gravitational wave

Abstract

Given that gravity waves are the future probes of the universe, it is important to test various physical effects of these on matter. This article studies a perturbation of the field of a massless scalar particle caused by a gravity wave. We also discuss the gravitational waves' effect on a chiral fermion. Our results have physical implications for early universe cosmology and also for ground based observations.

Interaction of Electromagnetic field with a Gravitational wave in Minkowski and de-Sitter space-time

“…For recent observations on the background gravitational waves see the NanoGrav experiment [2]. In this paper we analyze and confirm a perturbation for electromagnetic (EM) waves induced by gravitational waves, previously observed for scalars and neutrinos in [3] and in [4,5]. We discuss resonant interactions, and if this new 'frequency' mode as predicted can be detected in current detectors.…”

“…The perturbation solution is obtained using the methods of [3] and as outlined in the Appendix1. The…”

“…The pattern is also different from that of a simple sinusoidal wave, and this This phenomena when quantized will correspond to particle creation in the cosmological background. Note that the exact nature of the perturbation should be evaluated using the Green's function for the EM field in de-Sitter background as in [3]. The Green's function can be found in [12], however, the calculations are much more complicated than that obtained using Fourier decomposition as in the above.…”

“…Here we describe the solution of a inhomogeneous wave equation as described in [3] Given a wave equation for a unknown function φ(t, x)…”

Global propagation of massive quantum fields in the plane gravitational waves and electromagnetic backgrounds

“…4 emerge as the Penrose limit. The other quite natural generalization is if we go beyond the plane waves and consider some ppwaves, gravitational wave beams [61] and linearized theory [62]. It is also worth to notice that the case of massless fields involves also a special analysis due to the possibility of massless particles creation by the gravitational field (in particular, see recent considerations in [36,37]); in fact such possibility can exist even for the massive fields; however, then some additional constrains have to be added [63].…”