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.

arXiv comment53 pages, 33 figures, 17 tables, typos corrected, references changed

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• Running coupling in SU(2) gauge theory with two adjoint fermions
• Physics of the Non-Abelian Coulomb Phase: Insights from Padé Approximants
• Composite Higgs Dynamics on the Lattice
• Higher-Order Scheme-Independent Calculations of Physical Quantities in the Conformal Phase of a Gauge Theory
• Safety versus triviality on the lattice
• Infrared fixed point of SU(2) gauge theory with six flavors
• Renormalization-Group Evolution of Chiral Gauge Theories
• If the Weak Were Strong and the Strong Were Weak
• A phase of confined electroweak force in the early Universe
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• Dark Matter Freeze-out during $\mathrm{SU}(2{)}_{\mathrm{L}}$ Confinement
• Relative scale setting for two-color QCD with Nf=2 Wilson fermions
• Finite-temperature phase transition of $N_f=3$ QCD with exact center symmetry
• Lattice simulation of SU(2) gauge theory with chirally symmetric fermions