Lattice Study on quantum-mechanical dynamics of two-color QCD with six light flavors

Abstract

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not occur in this system. The quark mass dependence of the mesonic spectrum provides an evidence for such a possibility. The decay constant tends to be increased by the finite size effect, which is opposite to the behavior predicted by chiral perturbation theory and indicates that the long distance dynamics in the six-flavor theory could be different from the theory with chiral symmetry breaking. The subtracted chiral condensate, whose utility is demonstrated by the simulation of two-flavor theory, is shown to vanish in the chiral limit within the precision of available data.

53 pages, 33 figures, 17 tables, typos corrected, references changed

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• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
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• Higher-Order Scheme-Independent Calculations of Physical Quantities in the Conformal Phase of a Gauge Theory
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• Infrared fixed point of SU(2) gauge theory with six flavors
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• If the Weak Were Strong and the Strong Were Weak
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