Infrared dynamics of minimal walking technicolor

Infrared dynamics of minimal walking technicolor
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DOI:
10.1103/physrevd.82.014510
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发表时间:
2010-04
期刊:
影响因子:
5
通讯作者:
L. Debbio;B. Lucini;A. Patella;C. Pica;A. Rago
L. Debbio;B. Lucini;A. Patella;C. Pica;A. Rago
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
L. Debbio;B. Lucini;A. Patella;C. Pica;A. Rago

文献摘要

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我们研究了极小行走技术色的规范部分,它是一个SU(2)规范理论,在伴随表象中有n{subf}=2种类型的威尔逊费米子。对晶格N{subt}xN{subS}{sup 3}进行了数值模拟,其中N{subS}在8到16之间,N{subt}=2N{subS},在固定的{beta}=2.25时,改变费米子的裸质量m{sub0},从而我们的数值结果涵盖了从猝灭区到手性极限的全部费米子质量。我们给出了弦张力和胶球光谱的结果。通过介子能观和胶子能观的比较,得出红外动力学是由SU(2)纯杨-米尔斯理论给出的结论,该理论具有典型的能级,光谱随费米子质量滑向零。典型的介子质量标度与胶子标度成正比,并且比胶子标度大得多。我们的发现与无质量理论在红外中是共形的情况是一致的。通过对弦张力随费米子质量向无质量极限的标度的分析,我们可以提取手性凝聚反常维度{Gamma}{Sub*},其值为{Gamma}{Sub*}=0.22{+-}0.06。
We study the gauge sector of minimal walking technicolor, which is an SU(2) gauge theory with n{sub f}=2 flavors of Wilson fermions in the adjoint representation. Numerical simulations are performed on lattices N{sub t}xN{sub s}{sup 3}, with N{sub s} ranging from 8 to 16 and N{sub t}=2N{sub s}, at fixed {beta}=2.25, and varying the fermion bare mass m{sub 0}, 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 toward the massless limit allows us to extract the chiral condensate anomalous dimension {gamma}{sub *}, which is found to be {gamma}{sub *}=0.22{+-}0.06.