Abstract
We study the behavior of the confining flux tube in Nf = 2 + 1 QCD at the physical point, discretized with the stout smearing improved staggered quark action and the tree level Symazik gauge action. We discuss how it depends on a uniform external magnetic field, showing how it displays anisotropies with respect to the magnetic field direction. Moreover, we compare the observed anisotropy pattern with that of the static quark-antiquark (QQ̅) potential we obtained in [1, 2].
Highlights
Introduction and numerical setupThe study of flux tubes forming between pairs of static color sources have always been a way to study the emergence of a confining potential in QCD
We study the behavior of the confining flux tube in N f = 2 + 1 QCD at the physical point, discretized with the stout smearing improved staggered quark action and the tree level Symazik gauge action. We discuss how it depends on a uniform external magnetic field, showing how it displays anisotropies with respect to the magnetic field direction
The purpose of this paper is to provide a first investigation of flux tube formation in the presence of a magnetic background field
Summary
As well as for the determination of the Wilson Loop, it is convenient to perform some sort of smearing on the SU(3) link variables, in order to reduce the UV-fluctuations and gain a better signal-to-noise ratio. To this aim, following previous works [10], we adopted a smearing procedure with one single HYP smearing step for the temporal links [15] with coefficients α = (1, 0.5, 0.5) and NAPE APE smearing steps for the spatial links [16]. Even if it is possible to derive a relation for the 3D case, here we are just interested in giving the order of magnitude of Rs, which should be relatively similar with respect to the 4D case
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