Chiral properties of SU(3) sextet fermions

Abstract

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.

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

References in corpus (11)

• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• Lattice QCD as a video game
• Conformal vs confining scenario in SU(2) with adjoint fermions
• Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Investigating the critical properties of beyond-QCD theories using Monte Carlo Renormalization Group matching
• Topology and higher dimensional representations
• Exploration of SU(N_c) gauge theory with many Wilson fermions at strong coupling
• Lattice Study of Planar Equivalence: The Quark Condensate

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