6533b7dbfe1ef96bd12701ac
RESEARCH PRODUCT
Mass dimension one fermions and their gravitational interaction
J. M. Hoff Da SilvaR. De C. LimaC. R. SeniseM. DiasLaura DuarteLaura DuarteR. J. Bueno Rogeriosubject
PhysicsPhysics::General PhysicsNewtonian potentialField (physics)High Energy Physics::LatticeScalar (mathematics)GravitonGeneral Physics and AstronomyPropagatorFOS: Physical sciencesTadpole (physics)01 natural sciences010305 fluids & plasmasGravitational potentialTheoretical physicsHigh Energy Physics - PhenomenologyGeneral Relativity and Quantum CosmologyHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesGauge theory010306 general physicsdescription
We investigate in detail the interaction between the spin-${1/2}$ fields endowed with mass dimension one and the graviton. We obtain an interaction vertex that combines the characteristics of scalar-graviton and Dirac's fermion-graviton vertices, due to the scalar-dynamic attribute and the fermionic structure of this field. It is shown that the vertex obtained obeys the Ward-Takahashi identity, ensuring the gauge invariance for this interaction. In the contribution of the mass dimension one fermion to the graviton propagator at one-loop, we found the conditions for the cancellation of the tadpole term by a cosmological counter-term. We calculate the scattering process for arbitrary momentum. For low energies, the result reveals that only the scalar sector present in the vertex contributes to the gravitational potential. Finally, we evaluate the non relativistic limit of the gravitational interaction and obtain an attractive Newtonian potential, as required for a dark matter candidate.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-02-04 |