2020
DOI: 10.1103/physrevd.101.043006
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Nambu–Jona-Lasinio model in a sphere

Abstract: We study the chiral phase transition of the two flavor Nambu-Jona-Lasinio (NJL) model in a sphere with the MIT boundary condition. We find that the MIT boundary condition results in much stronger finite size effects than antiperiodic boundary condition. Our work may be helpful to study the finite size effects in heavy-ion collision in a more realistic way.

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Cited by 10 publications
(19 citation statements)
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“…boundary conditions implementing more realistic physical constraints, such as considering a sphere or a rotating cylinder instead of cubic box, are also worth investigation [69][70][71]. These studies could deepen our understanding of chirally imbalanced hot and dense QCD matter produced in HICs.…”
Section: Jhep06(2020)122mentioning
confidence: 99%
“…boundary conditions implementing more realistic physical constraints, such as considering a sphere or a rotating cylinder instead of cubic box, are also worth investigation [69][70][71]. These studies could deepen our understanding of chirally imbalanced hot and dense QCD matter produced in HICs.…”
Section: Jhep06(2020)122mentioning
confidence: 99%
“…Due to the intricacy of the realistic QGP, the QCD effective models have been done some improvements by taking into the finite volume of the system [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57], the non-extensive effects to consider long-distance correlation [58,59], the presence of magnetic fields [60][61][62][63][64][65][66][67][68][69], and the effect of electric field [71][72][73][74][75], to explore the chiral/confinement properties of the strongly intercing matter at finite temperature or quark chemical potential. Conventionally, in the literature, all the effective models or improved effective model describing the quark matter, are based on an ideal assumption that the consitutents of quark matter are completely isotropic in momentum-space for the absence of a megnetic field.…”
Section: Introductionmentioning
confidence: 99%
“…We have demonstrated the importance of boundary conditions when studying finite size effects in a recent work [19] and argued that the MIT boundary condition may be more suitable than (anti)periodic boundary condition when studying finite size effects due to its confinement feature. Thus, in this paper, we will use the MIT boundary condition to bound the system in a sphere as we did in [19]. First, we would like to give a qualitative explanation what the effects of finite size and rotation are.…”
Section: Introductionmentioning
confidence: 89%
“…It is well known that in principle the spontaneous symmetry broken only occur in infinitely large systems [20]. So, in NJL model, we expect the finite size will lead to the restoration of chiral symmetry and thus a lower effective mass [19,21]. For rotation, the global angular momentum will induce a rotational polarization effect which "force" microscopic angular momentum to be parallel to the global angular momentum, so the chiral condensate state which has zero angular momentum will be suppressed [8], thus the effective mass becomes smaller.…”
Section: Introductionmentioning
confidence: 94%
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