arXiv 0803.31902008-03hep-lat

具有动力学扭曲质量费米子的轻重子质量

Light baryon masses with dynamical twisted mass fermions

C. Alexandrou, R. Baron, B. Blossier, M. Brinet, J. Carbonell, P. Dimopoulos, V. Drach, F. Farchioni, R. Frezzotti, P. Guichon, G. Herdoiza, K. Jansen, T. Korze… 展开作者

C. Alexandrou, R. Baron, B. Blossier, M. Brinet, J. Carbonell, P. Dimopoulos, V. Drach, F. Farchioni, R. Frezzotti, P. Guichon, G. Herdoiza, K. Jansen, T. Korzec, G. Koutsou, Z. Liu, C. Michael, O. Pène, A. Shindler, C. Urbach, U. Wenger

备注：: 19 pages, 18 figures, Version as accepted in Phys. Rev. D, Discussion on nucleon sigma-term extended, typos corrected
发表信息：: Phys.Rev.D78:014509,2008
DOI：: 10.1103/PhysRevD.78.014509

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摘要：

我们利用两个动力学简并的扭曲质量夸克和树能级的Symanzik改进规范作用量给出了核子和Delta的质量。评估是在四个夸克质量对应的π介子质量在约300-600 MeV的范围内的晶格2.1-2.7 fm。我们检查截止效应，通过评估这些重子质量的空间大小为2.1 FM在β =3.9和β =4.05的晶格和2.4 FM在β =3.8的晶格。我们发现的值在我们的统计误差范围内是相容的。晶格结果外推到物理极限使用连续手征微扰理论。在β =3.9和β =4.05处对我们的晶格数据进行组合拟合，我们发现核子质量为964 \pm 28（统计）。\pm 8（系统）兆电子伏物理点处的核子质量提供了晶格间距的独立确定。利用重子手征微扰理论，在O（p^3）处得到a_{β=3.9} =0.0890 \pm 0.0039（stat.）\pm 0.0014（系统）fm和a_{β=4.05} = 0.0691 \pm 0.0034（统计）\pm 0.0010（系统）fm，在良好的协议从π衰变常数确定的值。在三角洲系统中的同位旋违反晶格文物被发现是兼容的零的值的晶格间距在这项工作中使用。在β =3.9和β =4.05处对我们的晶格数据进行组合拟合，我们发现Delta^{++，-}和Delta^{+，0}的质量为1316 \pm 60（stat.）MeV和1330 \pm 74（统计）MeV。我们证实了在连续极限下它们也是简并的。

英文摘要：

We present results on the mass of the nucleon and the Delta using two dynamical degenerate twisted mass quarks and the tree-level Symanzik improved gauge action. The evaluation is performed at four quark masses corresponding to a pion mass in the range of about 300-600 MeV on lattices of 2.1-2.7 fm. We check for cut-off effects by evaluating these baryon masses on lattices of spatial size 2.1 fm at beta=3.9 and beta=4.05 and on a lattice of 2.4 fm at beta=3.8. The values we find are compatible within our statistical errors. Lattice results are extrapolated to the physical limit using continuum chiral perturbation theory. Performing a combined fit to our lattice data at beta=3.9 and beta=4.05 we find a nucleon mass of 964\pm 28 (stat.) \pm 8 (syst.) MeV. The nucleon mass at the physical point provides an independent determination of the lattice spacing. Using heavy baryon chiral perturbation theory at O(p^3) we find a_{β=3.9}=0.0890\pm 0.0039(stat.) \pm 0.0014(syst.) fm, and a_{β=4.05}= 0.0691\pm 0.0034(stat.) \pm 0.0010(syst.) fm, in good agreement with the values determined from the pion decay constant. Isospin violating lattice artifacts in the Delta-system are found to be compatible with zero for the values of the lattice spacings used in this work. Performing a combined fit to our lattice data at beta=3.9 and beta=4.05 we find for the masses of the Delta^{++,-} and Delta^{+,0} 1316 \pm 60 (stat.) MeV and 1330 \pm 74 (stat.) MeV respectively. We confirm that in the continuum limit they are also degenerate.

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