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Possible formation of high temperature superconductor at early stage of heavy-ion collisions

Abstract : We investigate the effect of the inverse magnetic catalysis (IMC) on the charged ρρ meson condensation at finite temperature in the framework of the Nambu--Jona-Lasinio model, where mesons are calculated to the leading order of 1/Nc expansion by summing up infinity quark-loops. IMC for chiral condensate has been considered in three different ways, i.e. fitting Lattice data, using the running coupling constant and introducing the chiral chemical potential, respectively. It is observed that, with no IMC effect included, the critical magnetic field eBc for charged ρρ condensation increases monotonically with the temperature. However, including IMC substantially affects the polarized charged ρρ condensation around the critical temperature Tc of chiral phase transition, the critical magnetic field eBc for charged ρρ condensation decreases with the temperature firstly, reaches to a minimum value around Tc, then increases with the temperature. Our calculation indicates that the charged ρρ condensation can exist in the temperature region of 1−1.5Tc with critical magnetic field eBc∼0.15−0.3GeV2, which suggests that high temperature superconductor might be created through non-central heavy ion collisions at LHC energies. We also show that a growing electric conductivity in early stage of non-central heavy-ion collisions substantially delays the decay of strong magnetic field, which is helpful for the formation of the high temperature superconductor.
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https://hal.archives-ouvertes.fr/hal-01362577
Contributor : Maxim Chernodub <>
Submitted on : Friday, September 9, 2016 - 10:16:17 AM
Last modification on : Thursday, March 5, 2020 - 5:33:35 PM

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  • HAL Id : hal-01362577, version 1
  • ARXIV : 1604.06662

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M. N. Chernodub, Huang Mei, Liu Hao, Lang Yu. Possible formation of high temperature superconductor at early stage of heavy-ion collisions. Physical Review D, American Physical Society, 2016, 94, pp.113006. ⟨hal-01362577⟩

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