Chiral crossover transition from the Dyson-Schwinger equations in a sphere
Yin-Zhen Xu, Chao Shi, Xiao-Tao He, Hong-Shi Zong
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 $⟨\overline{\ensuremath{\psi}}\ensuremath{\psi}⟩$ and pseudotransition temperature ${T}_{pc}$ of the crossover decreases as the volume decreases, until there is no chiral crossover transition at last. We find that the system for $R=\ensuremath{\infty}\text{ }\text{ }\mathrm{fm}$ is indistinguishable from $R=10\text{ }\text{ }\mathrm{fm}$ and there is a significant decrease in ${T}_{pc}$ with $R$ as $R<4\text{ }\text{ }\mathrm{fm}$. When $R<1.5\text{ }\text{ }\mathrm{fm}$, there is no chiral transition in the system.