Dual meson condensates in the Polyakov-loop enhanced linear sigma model

2017/05/31 by Zhao Zhang, Haipeng Lu, Yunshuo Wang
Physics and Astronomy · #Deconfinement #Fermion #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematical physics #Meson #Nonlinear system #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Sigma #Sigma model #Vector meson #hep-ph

paper · pdf · doi:10.1103/physrevd.103.034017

published as Phys. Rev. D 103, 034017 (2021) · 9 pages,7 figures, discussions added, references added, typos corrected

openalex created_date 2017/06/05 · arxiv created 2017/11/17 · openalex publication_date 2021/02/23 · arxiv updated 2021/03/03 · openalex updated_date 2026/08/05

Abstract

The extent to which the dual meson condensates obtained in the Polyakov-loop enhanced linear sigma model can indicate deconfining transition is investigated by imposing the twisted boundary conditions. The influence of the improved unquenching effect, the dependence on the glue potential parametrization, and the role of the fermion vacuum contribution are focused on at the mean field level. At zero density, the rapid rise of the dual sigma condensate with T is confirmed, which is more sensitive to the chiral transition than the increase of the Polyakov loop. For finite isospin chemical potential \ensuremathμ_I>m_\ensuremathπ/2, the dual sigma condensate shows abnormal thermal behavior which decreases with T below the melting temperature T_c^I₃ of pion superfluidity. In contrast, the dual pion condensate always increases with T, with the maximum slope located at T_c^I₃ rather than T_c^P, as determined by the Polyakov loop. The dual vector meson condensate for \ensuremathμ_I>m_\ensuremathπ/2 is also more sensitive to the chiral restoration when considering the fermion vacuum contribution. The study suggests that the dual condensates calculated in this model are not appropriate indicators of deconfinement due to some limitations and uncertainty.

Citations

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