XXVI DAE-BRNS High Energy Physics Symposium 2024

Investigating criticality in the on-shell parameterised two flavor quark meson model augmented with Polyakov loop potential

Not scheduled

20m

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Postar Heavy ion and QCD

Speaker

Ms Pooja kumari (university of allahabad)

Description

The quantum chromodynamics (QCD) like framework of the renormalized Polyakov quark-meson (RPQM) model has been obtained after combining the exact chiral effective potential of the two flavor renormalized quark meson (RQM) model with the improved Polyakov-loop potential that accounts for the quark back reaction. The consistent treatment of the quark one-loop vacuum fluctuations and the on-shell renormalization of the parameters, gives the exact vacuum chiral effective potential of the RQM model. The critical fluctuations around the critical end point (CEP) has been quantified in the RPQM model by computing the contours of the enhanced quark number susceptibilities in the $\mu$ and $T$ plane of the QCD phase diagram. The effect of the Polyakov-loop potential on the nature of the contours of critical fluctuations, has been compared by computing the quark number susceptibility contours in the presence and absence of the Polyakov-loop potential. The QCD phase diagram for the RPQM model has been calculated and the tri-critical point (TCP) has been found in the chiral limit of the massless pions. The contours of the enhanced quark number susceptibilities, have also been drawn around the TCP to find the extent of criticality. The proximity of the CEP to the TCP has been determined and the overlap of the quark number susceptibility contours around the TCP and CEP has been found.