Within the framework of Dyson-Schwinger equations and by means of Multiple Reflection Expansion, we study the finite volume effects on the chiral phase transition in a sphere, especially discuss its influence on the location of the possible critical end point (CEP). According to our calculations, when we take the sphere instead of cube as a research, the influence of finite volume effects on phase transition is not as significant as previously calculated. For instance, as the radius of spherical volume decreases from infinite to 2fm, at zero chemical potential and finite temperature, the critical temperature Tc has only a slight drop. And at finite chemical potential and finite temperature, the location of CEP shifts toward smaller temperature and higher chemical potential, but the amplitude of variation does not exceed 20%. So we find that not only the size of the volume, but also the shape of the volume will have a considerable impact on the phase transition.
@article{arxiv.1903.11243,
title = {Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume},
author = {Ya-Peng Zhao and Rui-Rui Zhang and Han Zhang and Hong-Shi Zong},
journal= {arXiv preprint arXiv:1903.11243},
year = {2019}
}