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

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.

arXiv comment9 pages, 0 figures

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• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Hearing the shape of inequivalent spin structures and exotic Dirac operators
• New spinor classes on the Graf-Clifford algebra
• Spin-1/2 "bosons'' with mass dimension 3/2 and fermions with mass dimension 1 cannot represent physical particle states
• The Restricted Inomata-McKinley spinor-plane, homotopic deformations and the Lounesto classification
• Wigner multiplets in QFT: from Wigner degeneracy to Elko fields
• Wigner multiplets in QFT: dark sector and CPT-violating scenarios