C.-J. David Lin

Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours

A bstractWe present details of a lattice study of infrared behaviour in SU(3) gauge theory with twelve massless fermions in the fundamental representation. Using the step-scaling method, we compute the coupling constant in this theory over a large range of scale. The renormalisation scheme in this work is defined by the ratio of Polyakov loop correlators in the directions with different boundary conditions. We closely examine systematic effects, and find that they are dominated by errors arising from the continuum extrapolation. Our investigation suggests that SU(3) gauge theory with twelve flavours contains an infrared fixed point.

Calculation of the heavy-hadron axial couplings g 1, g 2, and g 3 using lattice QCD

In a recent letter [Phys. Rev. Lett. 108, 172003 (2012)] we have reported on a lattice QCD calculation of the heavy-hadron axial couplings

New scheme for the running coupling constant in gauge theories using Wilson loops

{g}_{1}

The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box

,

Λb→Λℓ+ℓ- form factors and differential branching fraction from lattice QCD

{g}_{2}

Higgs-Yukawa model in chirally-invariant lattice field theory

, and

A lattice study of a chirally invariant Higgs–Yukawa model including a higher dimensional Φ6-term

{g}_{3}

Axial couplings and strong decay widths of heavy hadrons

. These quantities are low-energy constants of heavy-hadron chiral perturbation theory (

Bottom hadron mass splittings in the static limit from 2+1 flavour lattice QCD

\mathrm{HH}\ensuremath{\chi}\mathrm{PT}

Axial couplings in heavy hadron chiral perturbation theory at the next-to-leading order

) and are related to the