TY - JOUR

T1 - Patterns of spontaneous chiral symmetry breaking in vectorlike gauge theories

AU - Damgaard, P. H.

AU - Heller, U. M.

AU - Niclasen, R.

AU - Svetitsky, B.

N1 - Funding Information:
The work of P.H.D. was supported in part by EU TMR grant no. ERBFMRXCT97-0122, and the work of U.M.H. by DOE contract DE-FG02-97ER41022. The work of B.S. was supported in part by the US Department of Energy under Contract No. DF-FC02-94ER40818. He thanks the Center for Theoretical Physics at MIT for their hospitality during his sabbatical leave from Tel Aviv University. P.H.D., U.M.H. and B.S. also acknowledge the financial support of NATO Collaborative Linkage Grant PST.CLG.977702.

PY - 2002/6/24

Y1 - 2002/6/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037166693&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(02)00252-3

DO - 10.1016/S0550-3213(02)00252-3

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AN - SCOPUS:0037166693

SN - 0550-3213

VL - 633

SP - 97

EP - 113

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -