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We extend the recently developed strong coupling, dimensionally reduced Polyakov-loop effective theory from finite-temperature pure Yang-Mills to include heavy fermions and nonzero chemical potential by means of a hopping parameter expansion. Numerical simulation is employed to investigate the weakening of the deconfinement transition as a function of the quark mass. The tractability of the sign problem in this model is exploited to locate the critical surface in the (M/T, mu/T, T) space over the whole range of chemical potentials from zero up to infinity.
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We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation. The pseudoscalar meson mass as a function of hopping parameter is observed to deviate from the expected analytic dependence, at least for sufficiently large $N_f$. Implications of this effect are discussed, including the relevance to recent searches for an infrared fixed point.
We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation, including the relevance to recent searches for a conformal window. The pseudoscalar meson mass, the quark mass and other quantities are observed as functions of the hopping parameter, and we find deviations from the expected analytic dependence, at least for sufficiently large $N_f$. Implications of these effects for the phase structure and for the existence of a (first order) bulk phase and the Aoki phase are discussed in the case of $N_f/N_c gg 1$.
We briefly review the strategy to perform non-perturbative heavy quark effective theory computations and we specialize to the case of the b quark mass which has recently been computed including the 1/m term.
Complex nature of finite density QCD with heavy quarks in the strong coupling region is studied. For this purpose, we consider the effective potential as a function of Polyakov line, and study thermodynamic singularities and associated Stokes boundaries in the complex chemical potential plane. We also perform an explicit analytic continuation of the first order transition and crossover lines in the complex chemical potential plane.
We present RBC heavy-light meson spectroscopy with quenched DBW2 gauge configurations at lattice cutoff of about 3 GeV. Both heavy and light quarks are described by domain-wall fermions (DWF). The heavy quark mass ranges between 0.1 and 0.4 lattice units, covering charm. The light quark mass ranges between 0.008 and 0.04, covering strange. In particular, we discuss charmed (D and D*) and charm-strange (Ds and DsJ) mesons with spin-parity JP= 0+/- and 1+/-. The preliminary results indicate that DWF describe charm on the quenched DBW2 ensemble at this cutoff. The masses of the JP=0+/- and 1+/- D, D*, Ds and DsJ meson states are well reproduced to within a few %; their parity splitting, DeltaJ, are better reproduced than previous works, with only 10-20 % over estimations; the experimental observation that the splitting for non-strange states is bigger than that for strange states is reproduced as well; but the hyperfine splittings are only 60-65 % reproduced. Regarding the depenence on heavy quark mass, J=0 and J=1 parity splittings are degenerate for heavy quark mass heavier than 0.2-0.3 lattice units a; the J=0 parity splitting increases as the heavy quark mass decreases further while the J=1 splitting does not.
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