Crossover or First-Order: Impacts of Regularization

The equation of state of hot, dense nuclear matter plays a fundamental role in many areas. However, owing to the nonperturbative nature of strong interactions, a reliable treatment is still under debate. We use a symmetry-preserving treatment of a vector,$\otimes$,vector contact interaction to study related issues at nonzero temperature or quark chemical potential, and carefully compare a noncovariant and a covariant regularization scheme. The numerical results show that the character of the phase transition depends sensitively on the regularization scheme and parameter choices.