Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions

In order to avoid unphysical causality-violating effects, any rigidly rotating system must be bounded in directions transverse to the axis of rotation. We demonstrate that this requirement implies substantial dependence of properties of the relativistically rotating system on the boundary conditions. We consider a system of interacting fermions described by the Nambu--Jona-Lasinio model in a space bounded by the cylindrical surface of the finite radius. In order to confine the fermions inside the cylinder, we impose ``chiral'' MIT boundary conditions on its surface. These boundary conditions are parametrized by a continuous chiral angle Θ. We find that, at any value of Θ, the chiral restoration temperature Tc decreases as a quadratic function of the angular frequency Ω. However, the position and the slope of the critical curve Tc=Tc(Ω) in the phase diagram depend noticeably on the value of the chiral angle.