Abstract
We show that the Aharonov-Bohm effect in the nuclear matrix model derives the statistical nature of nucleons in holographic QCD. For N_c= odd (even), the nucleon is shown to be a fermion (boson).
Highlights
The statistics of baryons depends on the number of colors in QCD; in particular for large Nc QCD, as the baryons are bound states of Nc quarks, they are fermions for odd Nc, while bosons for even Nc
The nuclear matrix model [1] derived in holographic QCD offers a simple effective description of multi-baryon systems, where we can compute baryon spectra, short-distance nuclear forces, and even three-body nuclear forces [2]
In the nuclear matrix model [1], the Ramond-Ramond flux generates a Chern-Simons term in 1 dimension, which is just a term consisting of a single gauge field A0
Summary
The statistics of baryons depends on the number of colors in QCD; in particular for large Nc QCD, as the baryons are bound states of Nc quarks, they are fermions for odd Nc, while bosons for even Nc. To identify the statistics (fermionic/bosonic) of nucleons in the nuclear matrix model, we consider a 2π rotation in the target space of the matrix model. In the nuclear matrix model [1], the Ramond-Ramond flux generates a Chern-Simons term in 1 dimension, which is just a term consisting of a single gauge field A0.
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