Second order critical point in QCD phase diagram

Abstract

In this thesis I explore the theoretical model based on Asakawa and Nonaka's idea[l]. I start by arguing that the critical point of the QCD phase diagram is second order and belongs to the three dimensional Ising model universality class. Then the singular part of the equation of state is derived. The singular part and non-singular part equation of state are glued together to find the general form of the equation of state. This equation of state includes the critical point. With this equation of state, we construct the isentropic trajectories. The pathology of these trajectories is discussed. Moreover the validation of the signature of the critical point suggested by Asakawa and Nonaka is also discussed.