English

Chiral crossover transition from the Dyson-Schwinger equations in a sphere

Nuclear Theory 2021-01-04 v1

Abstract

Within the framework of Dyson--Schwinger equations of QCD, we study the effect of finite volume on the chiral phase transition in a sphere with the MIT boundary condition. We find that the chiral quark condensate ψˉψ\langle\bar{\psi} \psi\rangle and pseudotransition temperature TpcT_{pc} of the crossover decreases as the volume decreases, until there is no chiral crossover transition at last. We find that the system for R=R = \infty \ fm is indistinguishable from R=10R=10 fm and there is a significant decrease in TpcT_{pc} with RR as R<4R<4 fm. When R<1.5R<1.5 fm, there is no chiral transition in the system.

Keywords

Cite

@article{arxiv.2009.12035,
  title  = {Chiral crossover transition from the Dyson-Schwinger equations in a sphere},
  author = {Yin-Zhen Xu and Chao Shi and Xiao-Tao He and Hong-Shi Zong},
  journal= {arXiv preprint arXiv:2009.12035},
  year   = {2021}
}

Comments

5 pages, 2 figures