Large-scale messengers from arbitrary spin fields

TL;DR

This paper demonstrates that arbitrary spin fields produced nonperturbatively from vacuum inherently generate macroscopic energy-momentum correlations, with implications for cosmology and parity violation, using a covariant formalism independent of specific particle models.

Contribution

It introduces a covariant formalism for describing higher spin particles and analyzes their nonperturbative production and associated energy-momentum correlations without relying on gauge redundancy.

Findings

Nonperturbative production of arbitrary spin fields leads to macroscopic energy-momentum correlators.

Imbalance in left- and right-handed field production causes helical structures and parity violation.

The formalism reproduces known results for spin 1/2 fields but faces pathologies for massless higher spin particles.

Abstract

We show that nonperturbative production of arbitrary spin fields from vacuum will accompany the generation of non-vanishing macroscopic energy-momentum tensor correlators. This argument is based on the general causal field formalism, which gives a manifestly covariant description of higher spin particles without any reference to gauge redundancy. Our findings are direct consequence of the Poincar\'e covariance and anlayticity of the Green's functions and independent of any detailed particle physics model. Further, we discuss the idea that any mechanism causing imbalance between the on-shell production of left- and right-handed fields leads to a helical structure in the energy momentum correlators and violation of the macroscopic parity symmetry. We check our method for fields with spin $\frac{1}{2}$ and show that it correctly reproduces previous results. However, the formalism suffers from pathologies related to non-localities that appear for massless particles with spin $\geq 1$ in flat space. We discuss the origin of these pathologies and the relevance of our findings to cosmology.