Aplicación de la teoría del campo efectivo clásico no-relativista para la descripción de la física de axiones y estudio del acoplamiento con gravedad.

Abstract

The axion is a dark matter candidate that has gained traction in the recent years. Most detection attempts of any dark matter candidate have focused mainly in a direct detection. However, it should be possible to discern the composition of dark matter from astrophysical constraints. In particular, it has been proposed by various researchers that macroscopic structures of axions bound either by self-interactions or by gravity can be formed. Consequently, it is important to develop a formalism to study both the formation and properties of these objects. In this work one of previously established non-relativistic effective field theories for axions is replicated with an extra self-interaction term. Next, gravity coupling is incorporated into the known relativistic description by applying the minimal coupling prescription plus adding an extra term to the axion potential proportional to the Ricci scalar multiplied by the field raised to the fourth power to simulate gravitational attraction. Finally, the procedure previously explained to compute a non-relativistic approximation from the relativistic description is implemented to the equation of motion with gravity coupling to obtain a non-relativistic formalism in the weak limit of gravity.