Two dimensional fermions in three dimensional YM

Details Two dimensional fermions in three dimensional YM Two dimensional fermions in three dimensional YM

2010-05-04

arxiv.org/abs/1005.0576v2

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 7 figures, 5 tables

Scientific paper

Dirac fermions in the fundamental representation of SU(N) live on the surface of a cylinder embedded in $R^3$ and interact with a three dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite $N$. As the circumference of the cylinder is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite $N$ limit at a typical bulk scale. Replacing three dimensional YM by four dimensional YM introduces non-trivial renormalization effects.

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