Anomaly cancellation for anisotropic lattice fields with extra dimensions

Details Anomaly cancellation for anisotropic lattice fields with extra dimensions Anomaly cancellation for anisotropic lattice fields with extra dimensions

2010-01-12

arxiv.org/abs/1001.1885v1

PoS(LAT2009)217

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 4 figures, LaTeX2e, uses PoS. Contribution to The XXVII International Symposium on Lattice Field Theory - LAT2009, Ju

Scientific paper

The current flow from the bulk is due to the anomaly on the brane-but the absence of current flow is not, necessarily, due to anomaly cancellation, but to the absence of the chiral zero modes themselves, due to the existence of the layered phase. This can be understood in terms of the difference between the Chern-Simons terms in three and five dimensions. Thus the anomaly cancellation in four dimensions, which is essential for shielding the boundary from quantum effects within the bulk, makes sense only along the transition line between the layered and the Coulomb phase, which, in turn, requires the presence of a compact U(1) factor for the gauge group.

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