Spinor Field Theory and Dark Matter Phenomenology

Spinor field theory provides the mathematical framework for describing fermionic degrees of freedom in relativistic quantum fields, encompassing Dirac, Weyl and Majorana spinors. Recent advances have introduced new classes of spinors—most notably Elko (eigenspinoren des ladungskonjugationsoperators)—which carry mass dimension one rather than the conventional three‐half and are neutral under Standard Model gauge symmetries. These mass‐dimension‐one fields satisfy the Klein–Gordon equation but evade the Dirac structure, yielding suppressed couplings to visible matter and rendering them natural dark matter candidates. The extended spinor taxonomy, grounded in the Lounesto classification of bilinear covariants, reveals singular spinors with novel transformation properties under Lorentz inversions. Phenomenological studies explore self‐interactions, preferred-axis effects and cosmological evolution of such fields, assessing their rôle in structure formation, galactic rotation curves and collider signatures. The interplay between spinor algebra, quantum field regularity and gravitational dynamics underpins scenarios in which mass‐dimension‐one fermions can account for observed dark matter abundance without conflicting with precision tests of particle physics and cosmology.

Research from Nature Portfolio

No recent Nature Portfolio content available.

Spinor Field Theory and Dark Matter Phenomenology publication trend

The graph below shows the total number of articles in spinor field theory and dark matter phenomenology across all publications each year (not limited to Nature Index journals).

Technical terms

Spinor: A multi‐component object transforming under spin groups, used to describe fermions in relativistic quantum fields.

Elko: A class of mass-dimension-one spinors defined as eigenspinors of the charge-conjugation operator, neutral under Standard Model interactions and proposed as dark matter candidates.

Mass dimension: A number characterising how a field scales under spacetime dilations, influencing renormalisation and interaction strength.

Lounesto classification: A scheme that organises spinor fields into regular and singular classes based on non-vanishing bilinear covariants, guiding the identification of novel spinor types.

Phenomenology: The study of theoretical models in relation to experimental and observational data, here focusing on dark matter signatures in astrophysical and collider settings.

References

1. On the geometry and quantum theory of regular and singular spinors. Physics Letters B (2024).
2. Elko as self-interacting fermionic dark matter with axis of locality. Physics Letters B (2010).
3. A Lagrangian for mass dimension one fermionic dark matter. Physics Letters B (2016).
4. On the bilinear covariants associated to mass dimension one spinors. European Physical Journal C (2016).