Finite-size scaling tests for spectra in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions

Abstract

I carry out a finite-size scaling study of the correlation length in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions, using recent data published by Fodor, Holland, Kuti, Nogradi and Schroeder. I make the assumption that the system is conformal in the zero-mass, infinite volume limit, that scaling is violated by both nonzero fermion mass and by finite volume, and that the scaling function in each channel is determined self-consistently by the data. From several different observables I extract a common exponent for the scaling of the correlation length xi with the fermion mass m_q, xi proportional to m_q to the power -1/y_m, with y_m ~ 1.35. Shortcomings of the analysis are discussed.

8 pages, 3 figures

References in corpus (6)

• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• Twelve massless flavors and three colors below the conformal window
• Lattice Simulations and Infrared Conformality
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Mass anomalous dimension in SU(2) with six fundamental fermions

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