Mass-dimension-one fermions and their gravitational interaction

Abstract

‡ Electronic address: Laura.Duarte@ific.uv.es § Electronic address: julio.hoff@unesp.br ¶ Electronic address: marco.dias@unifesp.br * * Electronic address: carlos.senise@unifesp.br evant aspects of the interaction between such a candidate and weak field gravity.

Fermionic degeneracy and non-local contributions in flag-dipole spinors and mass dimension one fermions

“…A similar prescription also applies to gravity where the action is given by (see [40,42,47] for more details)…”

“…Their signatures at the Large Hadron Collider and in cosmology have been investigated [25][26][27]. Their gravitational interactions have also received much attention [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42].…”

Some remarks on dual helicity flag-dipole spinors

“…where the single helicity spinors ψ {+,+} and ψ {−,−} are displayed in [9,26], and the M matrix commutes with the boost operators given in (7). Please, note that the relations (8) and (10) provide the same spinor Λ (unless a global minus sign) and the same can be inferred to (9) and (11). The mapping task is accomplished imposing the following relations, first imposing to a component which carry positive eigenvalue transmute to a component which carry negative eigenvalue, given task is accomplished by defining the O operator…”

“…This relation is literal: in acting on spinors, the parity operator is the Dirac operator and vice-versa. As a consequence, being the different sectors of the representation space related by means of another procedure (where parity plays no role), the Dirac dynamics is no longer expected [11]. Nevertheless, there are cases where the representation spaces are not connected by discrete symmetries, like in the Elko spinors case, proposed in reference [12].…”

Flag-dipole spinors: On the dual structure derivation and $${\mathcal {C}}$$, $${\mathcal {P}}$$ and $${\mathcal {T}}$$ symmetries

“…Interesting enough, the contrasting dual structure carry an involved operator, which is responsible to ensure a Lorentz invariant and non-null norm besides carrying much of the physical information encoded on flag-dipole spinors. In such a way, given emergent operator just playing an important role when one deal with phenomenological applications [21,22], cosmological applications and mathematical physics analysis [6,[23][24][25]. Therefore, we highlight its matrix form in addition to exploring some of its main characteristics.…”