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arXiv · 0906.4543

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

Thomas DeGrand
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Abstract

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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Thomas DeGrand. 2009-06-24. Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions. https://arxiv.org/abs/0906.4543

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