Breakthrough on dynamical higgs mechanism for dRGT gravity: Example in which graviton gains mass through electroweak phase transition

TL;DR

This paper demonstrates a novel dynamical Higgs mechanism in dRGT gravity, allowing the graviton to gain mass through the electroweak phase transition, addressing longstanding strong coupling issues in massive gravity theories.

Contribution

It introduces the first example of a dynamical Higgs mechanism for dRGT gravity, enabling the graviton to acquire mass dynamically and resolving the strong coupling problem.

Findings

Graviton mass can be dynamically generated through the electroweak phase transition.

The proposed mechanism overcomes the strong coupling breakdown in dRGT gravity.

A consistent four-dimensional modified gravity theory with a dynamical mass is achieved.

Abstract

Massive gravity is an interesting theoretical framework capable of explaining among others things cosmological IR (infra-red) phenomena like late-time cosmic acceleration. Unfortunately, it turned out to be very difficult of getting consistent massive gravity theory due, among other things, to ghost appearance and strong coupling break-down problems. Of course, even though since the work of de Rham, Gabadadge and Tolley; the ghost problem appears overcame; things remain unchanged for the strong coupling break-down problem which is the problem that a massive gravity of experimentally viable graviton mass $m$ has (in comparison of standard massless gravity theory) a very low cutoff-scale $\Lambda_3= \Big[m^2M_P\Big]^{\frac{1}{3}}$ above which the theory fails; a problem what must be resolved if we want massive gravity be a consistent physical theory which can pretend to describe nature. Now as we know, one of the better way of overcoming this strong coupling break-down problem of massive gravity is to have a dynamical Higgs mechanism for gravity capable of providing a clear-cut way of making the graviton massless dynamically above the cutoff-scale $\Lambda_3$; a challenge what turned out to be difficult to surmount. It is this difficult that I overcome in the present paper by showing that it is quite possible of getting a four-dimensional modified massless gravity theory which becomes dynamically massive through for example the dynamical standard model electroweak phase transition. More precisely, I propose the first example of dynamical Higgs mechanism for dRGT gravity permitting to overcome the strong coupling break-down problem of dRGT gravity.