Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-10-09
Nucl.Phys. B633 (2002) 97-113
Physics
High Energy Physics
High Energy Physics - Lattice
LaTeX, 17 pages. Typos in eq (17) corrected
Scientific paper
10.1016/S0550-3213(02)00252-3
It has been conjectured that spontaneous chiral symmetry breaking in strongly coupled vectorlike gauge theories falls into only three different classes, depending on the gauge group and the representations carried by the fermions. We test this proposal by studying SU(2), SU(3) and SU(4) lattice gauge theories with staggered fermions in different irreducible representations. Staggered fermions away from the continuum limit should, for all complex representations, still belong to the continuum class of spontaneous symmetry breaking. But for all real and pseudo-real representations we show that staggered fermions should belong to incorrect symmetry breaking classes away from the continuum, thus generalizing previous results. As an unambiguous signal for whether chiral symmetry breaks, and which breaking pattern it follows, we look at the smallest Dirac eigenvalue distributions. We find that the patterns of symmetry breaking are precisely those conjectured.
Damgaard Poul H.
Heller Urs M.
Niclasen Rune
Svetitsky Benjamin
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