Gluon Condensate in Pion Superfluid beyond Mean Field Approximation
Yin Jiang, Pengfei Zhuang

TL;DR
This paper investigates how gluon condensate behaves in a pion superfluid using the NJL model, revealing that meson fluctuations diminish the condensate and restore scalar symmetry at finite isospin density.
Contribution
It introduces a beyond mean field approach to study gluon condensate in pion superfluid, highlighting the impact of meson fluctuations on the condensate behavior.
Findings
Gluon condensate decreases due to meson fluctuations
Scalar symmetry is smoothly restored at finite isospin density
Mean field approximation overestimates gluon condensate growth
Abstract
We study gluon condensate in a pion superfluid, through calculating the equation of state of the system in the Nambu-Jona-Lasinio model. While in mean field approximation the growing pion condensate leads to an increasing gluon condensate, meson fluctuations reduce the gluon condensate and the broken scalar symmetry can be smoothly restored at finite isospin density.
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