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arXiv 1003.0439hep-lat
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格点规范理论与(准)共形人工色

Lattice Gauge Theory and (Quasi)-Conformal Technicolor

D. K. Sinclair, J. B. Kogut

摘要:

本文研究了具有两种无质量色六重夸克的QCD理论,它可能表现出一个运行的耦合常数演化非常缓慢的标度范围。我们用两种六重态交错夸克模拟格点量子色动力学,以确定它是否行走,或者是否有红外固定点,使之成为一个共形场论。我们最初的模拟是在有限的温度下进行的$T=1/N_ta$($N_t=4$和$N_t=6$),这使我们能够识别的尺度限制和手性对称性破缺的解除限制和手性对称性恢复过渡。与基夸克的量子色动力学不同,这两个跃迁似乎是分离的。耦合常数的变化,在这些过渡之间的两个不同的时间范围$N_t$,是一致的,这些是有限的温度过渡的渐近自由理论,这有利于步行行为。在去精细化阶段,威尔逊线显示3态信号。在限制和手征跃迁之间,有一个额外的跃迁,其中具有威尔逊线的状态在单位无序的复数立方根的方向上取向成具有负威尔逊线的状态。

英文摘要:

QCD with 2 flavours of massless colour-sextet quarks is studied as a theory which might exhibit a range of scales over which the running coupling constant evolves very slowly (walks). We simulate lattice QCD with 2 flavours of sextet staggered quarks to determine whether walks, or if it has an infrared fixed point, making it a conformal field theory. Our initial simulations are performed at finite temperatures $T=1/N_ta$ ($N_t=4$ and $N_t=6$), which allows us to identify the scales of confinement and chiral-symmetry breaking from the deconfinement and chiral-symmetry restoring transitions. Unlike QCD with fundamental quarks, these two transitions appear to be well-separated. The change in coupling constants at these transitions between the two different temporal extents $N_t$, is consistent with these being finite temperature transitions for an asymptotically free theory, which favours walking behaviour. In the deconfined phase, the Wilson Line shows a 3-state signal. Between the confinement and chiral transitions, there is an additional transition where the states with Wilson Lines oriented in the directions of the complex cube roots of unity disorder into a state with a negative Wilson Line.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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