Effective lagrangian for a mass dimension one fermionic field in curved spacetime

TL;DR

This paper derives the effective Lagrangian for a mass dimension one fermionic field in curved spacetime, analyzing quantum corrections and finite temperature effects with implications for cosmological models.

Contribution

It provides a novel calculation of the propagator and one-loop effective Lagrangian for a mass dimension one fermion in curved spacetime, including finite temperature effects.

Findings

Derived the fermionic propagator in curved FRW spacetime.

Computed the one-loop effective Lagrangian in the coincidence limit.

Explored cosmological implications such as a time-dependent cosmological constant.

Abstract

In this work we use momentum-space techniques to evaluate the propagator $G(x,x^{\prime})$ for a spin $1/2$ mass dimension one spinor field on a curved Friedmann-Robertson-Walker spacetime. As a consequence, we built the one-loop correction to the effective lagrangian in the coincidence limit. Going further we compute the effective lagrangian in the finite temperature regime. We arrive at interesting cosmological consequences, as time-dependent cosmological `constant', fully explaining the functional form of previous cosmological models.