hierarchy problem




physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

theory (physics), model (physics)

experiment, measurement, computable physics



An issue in phenomenology and model building, notably in the standard model of particle physics, concerning discrepancies between the electroweak and Planck scale. For instance, the masses of the W and Z particles, the force carriers of the weak nuclear force, are about 10,000 trillion times smaller than the Planck mass. Thus there is a huge hierarchy in the mass scales of weak nuclear forces and gravity. See Strassler for review.

Proposed solutions

In M-theory on G 2G_2-manifolds

In the context of M-theory on G2-manifolds (the G2-MSSM) a generic solution to the hierarchy problem is proposed in (Acharya-Kane-Kumar 12, section V.A.2 (p. 10-11)) due to control over non-perturbative effects from membrane instantons, which due to their exponential nature, provide the exponential hierarchy.


In the context of M-theory on G2-manifolds/G2-MSSM a solution is proposed in

  • Bobby Acharya, Gordon Kane, Piyush Kumar, section V.A.2 (p. 10-11) of Compactified String Theories – Generic Predictions for Particle Physics, Int. J. Mod. Phys. A, Volume 27 (2012) 1230012 (arXiv:1204.2795)

Last revised on April 17, 2019 at 09:35:51. See the history of this page for a list of all contributions to it.