Local Scale Invariant Kaluza-Klein Reduction
by Tomer Ygael
at Particles and Fields Seminar
Mon, 30 Dec 2019, 14:00
Sacta-Rashi Building for Physics (54), room 207
The idea Local scale invariance is over a 100 years, originally introduced by Weyl to be closely descriptive of the fundamental relation-structure which underlies the various manifestations of space, time, matter and electromagnetism. More recently it was used to propose: 1.) a solution to the rotational curves problem using C^2 gravity by Manheimm, 2.) a construction geodesically complete backround spacetime by Bars, Chen, Steinhardt and Turok, 3.) a method to track the evolution of the Higgs in a regularly bouncing cosmology by Bars, Steinhardt and Turok. I will show the Kaluza-Klein reduction process of a scale invariant 5-dim Weyl-Dirac action to a 4-dim action which will be performed for a general Kaluza-Klein m-ansatz. While compactification does introduce an explicit length scale into the theory, it can be integrated out from the low energy regime, leaving the KK vacuum to still enjoy local scale invariance at the classical level. Imitating a U(1) X U(1) gauge theory, I will show the Maxwell-Weyl diagonalization procedure in detail. At the mini superspace level, and for an arbitrary Brans-Dicke parameter, for the choice of m=-1/3 I will show that the Weyl vector enters quantum cosmology only in the presence of an extra dimension, where its fifth component, serving as a 4-dim Kaluza-Klein in-scalar, governs the near Big Bang behavior of the wave function. The case of a constant Kaluza-Klein in-radius is discussed in some detail.
Created on 24-12-2019 by Kats, Yevgeny (katsye)
Updaded on 25-12-2019 by Kats, Yevgeny (katsye)