arXiv 1503.090642015-03hep-lathep-th

库仑与晶格上的物理弦张力

Coulomb vs. physical string tension on the lattice

G. Burgio, M. Quandt, H. Reinhardt, H. Vogt

备注：: 12 pages, 14 figures. Figures and changes in text added to match published version
发表信息：: Phys. Rev. D 92, 034518 (2015)
DOI：: 10.1103/PhysRevD.92.034518

摘要：

从连续介质的研究可知，库仑弦张力$σ_C$给出了物理（威尔逊）弦张力$σ_W$的上限[D. Zwanziger，Phys. Rev. Lett. 90，102001（2003）]。然而，这种关系如何转化为晶格？在本文中，我们给出的证据表明，有，而两个弦的张力在零温度相关，他们在有限的温度解耦。更准确地说，我们表明，在晶格上的库仑规范约束的情况下，总是绑定到空间弦张力，这是已知的生存的解除禁闭相变，并导致屏蔽效应的夸克-胶子等离子体。我们的分析是基于识别和消除中心涡，允许控制物理弦张力和研究其对库仑规范观测值的影响。我们还展示了库仑势的替代定义如何感知解除禁闭的转变，然而，一个真正的静态库仑规范序参量的相变仍然是难以捉摸的晶格上。

英文摘要：

From continuum studies it is known that the Coulomb string tension $σ_C$ gives an upper bound for the physical (Wilson) string tension $σ_W$ [D. Zwanziger, Phys. Rev. Lett. 90, 102001 (2003)]. How does however such relationship translate to the lattice? In this paper we give evidence that there, while the two string tensions are related at zero temperature, they decouple at finite temperature. More precisely, we show that on the lattice the Coulomb gauge confinement scenario is always tied to the spatial string tension, which is known to survive the deconfinement phase transition and to cause screening effects in the quark-gluon plasma. Our analysis is based on the identification and elimination of center vortices which allows to control the physical string tension and study its effect on the Coulomb gauge observables. We also show how alternative definitions of the Coulomb potential may sense the deconfinement transition; however a true static Coulomb gauge order parameter for the phase transition is still elusive on the lattice.

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