MadSci Network: Physics
Query:

Re: 'zero mode' and 'kaluza-klein mode' of graviton, difference? how possible?

Date: Wed Jun 4 16:03:06 2014
Posted By: Randall Scalise, Faculty, Physics
Area of science: Physics
ID: 1391662548.Ph
Message:

First, some background material for readers who are not familiar with
all the terms in the question:
 http://en.wikipedia.org/wiki/Graviton
 http://en.wikipedia.org/wiki/Kaluza%E2%80%93Klein_theory
 http://en.wikipedia.org/wiki/Large_extra_dimensions
 http://en.wikipedia.org/wiki/String_theory


The Kaluza-Klein (KK) modes above the zeroth mode are massive because
one or more of the dimensions in which they can propagate is compact 
(curled up so that anything moving in that direction would return to 
its starting point).  The zeroth mode particles are just the Standard 
Model (SM) particles, some of which are massless like the graviton.
According to this theory, every SM particle that can move in the extra
dimensions has heavier KK partners.
 http://profmattstrassler.com/articles-and-posts/some-speculative-theoretical-ideas-for-the-lhc/extra-dimensions/how-to-look-for-signs-of-extra-dimensions/

"Kaluza-Klein modes are particles predicted by the theory of large
extra dimensions. They can propagate in the extra dimension, which 
is limited spatially to a very small radius. That small radius – the 
thickness of the extra dimension – is a spatial limit and through 
Heisenberg's uncertainty principle it implies a discrete spectrum of
possible momentum states for the propagating bodies, just like quantum 
mechanics dictates that a particle in a box has a discrete spectrum 
of definite energies."
 http://dorigo.wordpress.com/2006/06/05/kaluza-klein-modes/
 http://www-cdf.fnal.gov/PES/kkgrav/kkgrav.html

In contrast, in the braneworld scenario, the extra space dimensions
are not compact and the uncertainty principle does not impose a lower
limit on the mass gap of the higher modes.

"This spacetime also has oscillations in the extra dimension that are 
the Kaluza-Klein modes, but in this case there is a continuous spectrum 
of modes."
 http://www.superstringtheory.com/experm/exper5a1.html


--Randall J. Scalise
 http://www.physics.smu.edu/scalise



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