scholarly journals Solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
Robert Foot ◽  
Archil Kobakhidze ◽  
Kristian L. McDonald ◽  
Raymond R. Volkas
1990 ◽  
Author(s):  
Vadim A. Markel ◽  
Leonid S. Muratov ◽  
Mark I. Stockman ◽  
Thomas F. George

1992 ◽  
Vol 46 (5) ◽  
pp. 2821-2830 ◽  
Author(s):  
Mark I. Stockman ◽  
Vladimir M. Shalaev ◽  
Martin Moskovits ◽  
Robert Botet ◽  
Thomas F. George

2011 ◽  
Vol 26 (16) ◽  
pp. 2735-2742 ◽  
Author(s):  
S.-H. HO

We investigate a one-dimensional quantum mechanical model, which is invariant under translations and dilations but does not respect the conventional conformal invariance. We describe the possibility of modifying the conventional conformal transformation such that a scale invariant theory is also invariant under this new conformal transformation.


2011 ◽  
Author(s):  
B. Mishra ◽  
Ilias Kotsireas ◽  
Roderick Melnik ◽  
Brian West

2010 ◽  
Vol 25 (03) ◽  
pp. 167-177 ◽  
Author(s):  
PANKAJ JAIN ◽  
SUBHADIP MITRA

We consider a locally scale invariant extension of the Standard Model of particle physics and argue that it fits both the particle and cosmological observations. The model is scale invariant both classically and quantum mechanically. The scale invariance is broken (or hidden) by a mechanism which we refer to as cosmological symmetry breaking. This produces all the dimensionful parameters in the theory. The cosmological constant or dark energy is a prediction of the theory and can be calculated systematically order by order in perturbation theory. It is expected to be finite at all orders. The model does not suffer from the hierarchy problem due to the absence of scalar particles, including the Higgs, from the physical spectrum.


2009 ◽  
Vol 24 (26) ◽  
pp. 2069-2079 ◽  
Author(s):  
PANKAJ JAIN ◽  
SUBHADIP MITRA

We compute the cosmological constant in a scale invariant scalar field theory. The gravitational action is also suitably modified to respect scale invariance. Due to scale invariance, the theory does not admit a cosmological constant term. The scale invariance is broken by a recently introduced mechanism called cosmological symmetry breaking. This leads to a nonzero cosmological constant. We compute the one-loop corrections to the cosmological constant and show that it is finite.


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