Spectrum of Spin 1 Dirac Operators on the Fuzzy 2-Sphere

Details Spectrum of Spin 1 Dirac Operators on the Fuzzy 2-Sphere Spectrum of Spin 1 Dirac Operators on the Fuzzy 2-Sphere

2010-04-19

arxiv.org/abs/1004.3252v3

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 5 figures, 1 table. The paper has been significantly improved

Scientific paper

We numerically find out the spectrum of the $3$ spin $1$ Dirac operators found in~\cite{ApbPP}. We give an analytic and numerical proof that they are unitarily inequivalent. Since these operators come paired with an anticommuting chirality operator, we find their spectrums to resemble those of fermions with positive and negative eigenvalues along with a number of zero modes. We give a method to count the number of zero modes which can be extended to higher spins on $S_F^2$. An universal relation between the energy eigenvalues of the spin 1 Dirac operator and their multiplicities is found. This helps us predict the energy eigenvalues for an arbitrarily large cut-off $L$, a problem which is computationally difficult to handle.

Affiliated with

Also associated with

No associations

Rating

Spectrum of Spin 1 Dirac Operators on the Fuzzy 2-Sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectrum of Spin 1 Dirac Operators on the Fuzzy 2-Sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectrum of Spin 1 Dirac Operators on the Fuzzy 2-Sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60233