An Interesting Fitting of Quark Masses
In this note we show an empirical formula of quark masses, which is found by implementing a least squares fit. In this formula the measured QCD coupling is almost a "best fitting coupling".
hep-ph↗
arXiv subjects
Da Qing Liu
Publications and source records attributed to Da Qing Liu.
Charmonium Spectrum from Quenched Lattice QCD with Tadpole Improvement Action
We report here our lattice simulation on the charmonium spectra in the quenched approximation. Because the full adjustment on the nonperturbative parameters such as $C_E$, $C_B$, $m_0a_s$ and $r_s$ needs many calculation time, we only adjust two of them, $m_0a_s$ and $r_s$($ξ_3$ plays this role in the paper) but with some rescale for mass splitting. After the rescale, we find that our results are in agreement with the experiment ones.
hep-lat↗
A New Approach to Construct the Operator on Lattice for the Calculation of Glueball Masses
We develop a new approach to construct the operator on lattice for the calculation of glueball mass, which is based on the connection between the continuum limit of the chosen operator and the quantum number $J^{PC}$ of the state studied. The spin of the state studied is then determined uniquely and directly in numerical simulation. Furthermore, the approach can be applied to calculate the mass of glueball states (ground or excited states) with any spin $J$ including $J\geq 4$. Under the quenched approximation, we present pre-calculation results for the masses of $0^{++}$ state and $2^{++}$ state, which are $1754(85)(86)MeV$ and $2417(56)(117)MeV$, respectively.
hep-lat↗
The First Calculation for the Mass of the Ground $4^{++}$ Glueball State on Lattice
Under the quenched approximation, we perform a lattice calculation for the mass of the ground $4^{++}$ glueball state in $E^{++}$ channel on a $D=3+1$ lattice. Our calculation shows that the mass of this state is $M_G(4^{++})=3.65(6)(18)GeV$, which rules out the $4^{++}$ or mainly $4^{++}$ glueball interpretation for $ξ(2230)$.
hep-lat↗
An Observation of Autocorrelation of Wilson Loops on Lattice
An observation of autocorrelation of Wilson loops on lattice is presented, especially for the small seperation in Markov chain. We give a possible explanation for such behavior. We also present the dependence of autocorrelation behavior on the chosen operators in this paper.
hep-lat↗
The Calculation of the Perturbative Expansion of Wilson Loops on Lattice
We introduce an approach to expand gauge-invariant Wilson operators on lattice. This approach is based on non-abelian Stokes theorem and overcomes some shortage of some former methods. It is also suitable for expanding any Wilson operators on lattice.
hep-lat↗
The Combination of Wilson Loops into $J^{PC}$ Operators in Lattice Pure Gauge Theory
To calculate the mass of glueballs with quantum number $J^{PC}$ in lattice gauge theory by using Wilson loops, we discuss their combinations of Wilson loops into irreducible representation of $O^{PC}$ group for arbitry-link wilson loops. We present a general computational procedure for this combination which is suitable for any finite groups.
hep-lat↗