Massive gravity in Minkowski space via the gravitational Higgs mechanism

  title={Massive gravity in Minkowski space via the gravitational Higgs mechanism},
  author={Zurab Kakushadze},
  journal={Physical Review D},
In the gravitational Higgs mechanism graviton components acquire mass in the process of spontaneous breaking of diffeomorphisms (via scalar vacuum expectation values). Recently, the gravitational Higgs mechanism was discussed in the context of obtaining massive gravity directly in four dimensions. We discuss a setup, with all diffeomorphisms spontaneously broken by scalars, where the gravitational Higgs mechanism results in massive gravity in Minkowski space with no nonunitary propagating modes… 

Higgs Mechanism for Gravitons

Just like the vector gauge bosons in the gauge theories, it is now known that gravitons acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of

Massless Limit of Gravitational Higgs Mechanism

In gravitational Higgs mechanism graviton components acquire mass via spontaneous diffeomorphism breaking by scalar vacuum expectation values. We point out that in the massless limit the resulting

Massive gravity in de Sitter space via the gravitational Higgs mechanism

In this paper we discuss massive gravity in de Sitter space via the gravitational Higgs mechanism, which provides a nonlinear definition thereof. The Higgs scalars are described by a nonlinear sigma


We study the physical propagating modes in a massive gravity model in curved cosmological backgrounds, which we have found as classical solutions in our previous paper. We show that, generically,

General tensor Lagrangians from the gravitational Higgs mechanism

The gravitational Higgs mechanism proposed by 't Hooft in arXiv:0708.3184 involves the spacetime metric gμν as well as the induced metric where ϕa (a = 0, …, 3), as we call it, break all four

Classical Solutions of Ghost Condensation Models

Motivated by ideas obtained from both ghost condensation and gravitational Higgs mechanism, we attempt to find classical solutions in the unitary gauge in general ghost condensation models. It is

Non-perturbative Massive Solutions in Gravitational Higgs Mechanism

We construct exact non-perturbative massive solutions in the gravitational Higgs mechanism. They confirm the conclusions of arXiv:1102.4991, which are based on non-perturbative Hamiltonian analysis

Non-perturbative Unitarity of Gravitational Higgs Mechanism

In this paper we discuss massive gravity in Minkowski space via gravitational Higgs mechanism, which provides a non-perturbative definition thereof. Using this non-perturbative definition, we address

Brane induced gravity, its ghost and the cosmological constant problem

``Brane Induced Gravity'' is regarded as a promising framework for addressing the cosmological constant problem, but it also suffers from a ghost instability for parameter values that make it

Unitarity check in gravitational Higgs mechanism

The effective field theory of massive gravity has long been formulated in a generally covariant way [N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, Ann. Phys. (N.Y.) 305, 96 (2003).]. Using this




In Modern Physics Letters A15, 2265 (2000), in the context of domain wall backgrounds, it was shown that spontaneous breaking of diffeomorphism invariance results in gravitational Higgs mechanism.


We discuss the gravitational Higgs mechanism in domain wall background solutions that arise in the theory of five-dimensional Einstein–Hilbert gravity coupled to a scalar field with a nontrivial

Higgs mechanism for gravity

In this paper we elaborate on the idea of an emergent spacetime which arises due to the dynamical breaking of diffeomorphism invariance in the early universe. In preparation for an explicit symmetry

Unitarity in the Brout-Englert-Higgs Mechanism for Gravity

Just like the vector bosons in Abelian and non-Abelian gauge theories, gravitons can attain mass by spontaneous local symmetry breaking. The question is whether this can happen in a Lorentz-invariant

Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space

We show that standard Einstein gravity coupled to a free conformal field theory (CFT) in anti-de Sitter space can undergo a Higgs phenomenon whereby the graviton acquires a nonzero mass (and three

The Higgs sector of gravitational gauge theories

Graviton Mass or Cosmological Constant

To describe a massive graviton in 4D Minkowski space-time one introduces a quadratic term in the Lagrangian. This term, however, can lead to a readjustment or instability of the background instead of

Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals

The question of graviton cloning in the context of the bulk/boundary correspondence is considered. It is shown that multi‐graviton theories can be obtained from products of large‐N CFTs. No more than