Instanton dynamics in finite temperature QCD via holography

We investigate instantons in finite temperature QCD via Witten's holographic QCD. To study the deconfinement phase, we use the setup proposed in [1]. We find that the sizes of the instantons are stabilized at certain values both in the confinement and deconfinement phases. This agrees with the...

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Bibliographic Details
Main Authors: Masanori Hanada, Yoshinori Matsuo, Takeshi Morita
Format: Article
Language:English
Published: Elsevier 2015-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032131500303X
Description
Summary:We investigate instantons in finite temperature QCD via Witten's holographic QCD. To study the deconfinement phase, we use the setup proposed in [1]. We find that the sizes of the instantons are stabilized at certain values both in the confinement and deconfinement phases. This agrees with the numerical result in the lattice gauge theory. Besides we find that the gravity duals of the large and small instantons in the deconfinement phase have different topologies. We also argue that the fluctuation of the topological charges is large in confinement phase while it is exponentially suppressed in deconfinement phase, and a continuous transition occurs at the Gross–Witten–Wadia (GWW) point. It would be difficult to observe the counterpart of this transition in lattice QCD, since the GWW point in QCD may stay at an unstable branch.
ISSN:0550-3213
1873-1562