Spontaneous symmetry lowering of the SO(N,3N) metric field interacting with the massles spinor

The symmetry broken solution (ground state) of the $SO(N,3N)$field theory is calculated by nonperturbative methods ($N$-times repeated Hubbard–Stratonovich transformation).The high symmetry fields are $4N$ dimensional metrics tensor and $2^{2N}$ dimensional spinor. The low symmetry fields are sum of $4$ dimensional metrics tensors and product of $4$ dimensional  super–symmetric spinors of the $SO(1,3)$. All the efforts are made to find the solution where each embedded $SO(1,3)$ subspace get its own scale (shrink or expansion) breaking the global $SO(N,3N)$ symmetry.

This work is not finished; publishing the most of what I was able to do

DimensionalityLowering-2015ww44-PRA

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s