arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.7124hep-latcond-mat.supr-conhep-ph
收藏

二维SU(2)规范-Higgs模型的相结构和胶子传播子

Phase structure and the gluon propagator of SU(2) gauge-Higgs model in two dimensions

Shinya Gongyo, Daniel Zwanziger

摘要:

本文数值研究了二维SU(2)规范-Higgs模型的相结构和胶子传播子。首先,我们计算规范不变量,特别是静态的潜力从威尔逊圈,W传播,和元格期望值。我们的研究结果表明,一个类似禁闭的区域和一个类似希格斯粒子的区域甚至出现在二维空间中。在类禁闭区,静电势线性上升,弦在大距离处断裂,而在类希格斯区,它是汤川型的,与希格斯型机制一致。从W传播子获得的相关长度在这些区域之间具有有限的最大值。格元期望值显示出与Fradkin-Shenker-Osterwalder-Seiler定理一致的平滑交叉。根据这些结果,我们认为在二维中不存在相变。我们还计算了朗道规范中与规范有关的序参量。与规范不变量不同,规范非不变序参量有一条不连续线将这两个区域分开。最后计算了胶子传播子。我们从它的红外行为推断,胶子传播子将消失在零动量在无限体积极限,符合分析研究。

英文摘要:

We study numerically the phase structure and the gluon propagator of the SU(2) gauge-Higgs model in two dimensions. First, we calculate gauge-invariant quantities, in particular the static potential from Wilson Loop, the W propagator, and the plaquette expectation value. Our results suggest that a confinement-like region and a Higgs-like region appear even in two dimensions. In the confinement-like region, the static potential rises linearly, with string breaking at large distances, while in the Higgs-like region, it is of Yukawa type, consistent with a Higgs-type mechanism. The correlation length obtained from the W propagator has a finite maximum between these regions. The plaquette expectation value shows a smooth cross-over consistent with the Fradkin-Shenker-Osterwalder-Seiler theorem. From these results, we suggest that there is no phase transition in two dimensions. We also calculate a gauge-dependent order parameter in Landau gauge. Unlike gauge invariant quantities, the gauge non-invariant order parameter has a line of discontinuity separating these two regions. Finally we calculate the gluon propagtor. We infer from its infrared behavior that the gluon propagator would vanish at zero momentum in the infinite-volume limit, consistent with an analytical study.

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。

↑