Chiral properties of SU(3) sextet fermions

Details Chiral properties of SU(3) sextet fermions Chiral properties of SU(3) sextet fermions

2009-08-17

arxiv.org/abs/0908.2466v2

JHEP 0911:103,2009

Physics

High Energy Physics

High Energy Physics - Lattice

38 pages (12 pages text and gazillion tables/figures), minor modification, references added

Scientific paper

10.1088/1126-6708/2009/11/103

SU(3) gauge theory with overlap fermions in the 2-index symmetric (sextet) and fundamental representations is considered. A priori it is not known what the pattern of chiral symmetry breaking is in a higher dimensional representation although the general expectation is that if two representations are both complex, the breaking pattern will be the same. This expectation is verified for the sextet at N_f = 0 in several exact zero mode sectors. It is shown that if the volume is large enough the same random matrix ensemble describes both the sextet and fundamental Dirac eigenvalues. The number of zero modes for the sextet increases approximately 5-fold relative to the fundamental in accordance with the index theorem for small lattice spacing but zero modes which do not correspond to integer topological charge do exist at larger lattice spacings. The zero mode number dependence of the random matrix model predictions correctly match the simulations in each sector and each representation.

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