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arXiv 1004.3206hep-lathep-phhep-th
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最小步行人工色的红外动力学

The infrared dynamics of Minimal Walking Technicolor

Luigi Del Debbio, Biagio Lucini, Agostino Patella, Claudio Pica, Antonio Rago

摘要:

我们研究了伴随表象中具有nf=2种Wilson费米子味的SU(2)规范理论的最小步行人工色规范扇区。我们对Nt x Ns^3晶格进行了数值模拟,其中Ns的范围是8 ~ 16,Nt=2Ns,β=2.25固定不变,并且费米子裸质量m0是变化的,这样我们的数值结果就涵盖了从猝灭区到手征极限的费米子质量的全部范围。我们提出的结果弦张力和胶球谱。通过对介子和胶子观测量的比较,得出了红外动力学是由SU(2)纯Yang-Mills理论给出的结论,该理论具有随费米子质量而趋于零的典型能量标度。典型的介子质量标度与胶子质量标度成正比,并且比胶子质量标度大得多。我们的研究结果是兼容的情况下,无质量理论是共形的红外线。通过分析弦张力随费米子质量向无质量极限的标度,我们可以提取手征凝聚体的反常维数γ*,其值为γ*=0.22+-0.06。

英文摘要:

We study the gauge sector of Minimal Walking Technicolor, which is an SU(2) gauge theory with nf=2 flavors of Wilson fermions in the adjoint representation. Numerical simulations are performed on lattices Nt x Ns^3, with Ns ranging from 8 to 16 and Nt=2Ns, at fixed β=2.25, and varying the fermion bare mass m0, so that our numerical results cover the full range of fermion masses from the quenched region to the chiral limit. We present results for the string tension and the glueball spectrum. A comparison of mesonic and gluonic observables leads to the conclusion that the infrared dynamics is given by an SU(2) pure Yang-Mills theory with a typical energy scale for the spectrum sliding to zero with the fermion mass. The typical mesonic mass scale is proportional to, and much larger than this gluonic scale. Our findings are compatible with a scenario in which the massless theory is conformal in the infrared. An analysis of the scaling of the string tension with the fermion mass towards the massless limit allows us to extract the chiral condensate anomalous dimension γ*, which is found to be γ*=0.22+-0.06.

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