Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions

Details Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions

2009-06-24

arxiv.org/abs/0906.4543v1

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, 12 postscript figures

Scientific paper

I observe a rough volume-dependent scaling of the low eigenvalues of a chiral Dirac operator in lattice studies of SU(3) lattice gauge theory with two flavors of color sextet fermions, in its weak-coupling phase. The mean value of the ith eigenvalue scales with the simulation volume V=L^4 as L^p ~zeta_i, where zeta_i is a volume-independent constant. The exponent p is about 1.4. A possible explanation for this phenomenon is that p is the leading relevant exponent associated with the fermion mass dependence of correlation functions in a theory whose zero-mass limit is conformal.

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