# Phase diagram and critical point evolution in NLO and NNLO strong coupling lattice QCD

## TL;DR

This paper analyzes the phase diagram and critical point evolution in strong coupling lattice QCD at finite temperature and density, incorporating finite coupling effects up to NNLO order, revealing their impact on critical temperatures and phase structure.

## Contribution

It develops an analytic formulation of SC-LQCD including NLO and NNLO effects, providing insights into how finite coupling modifies the phase diagram and critical points.

## Key findings

- Finite coupling suppresses T_{c,mu=0}
- NNLO effects significantly alter phase diagram shape
- Partially chiral restored matter exists in NLO and NNLO

## Abstract

We investigate the chiral phase transition in the strong coupling lattice QCD (SC-LQCD) at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an analytic formulation based on strong coupling and cluster expansions. We derive the effective potential as a function of two order parameters, the chiral condensate sigma and the vector potential \omega_\tau, in a self-consistent treatment of the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) effective action terms. Finite coupling effects lead to modifications of quark mass, chemical potential and the quark wave function renormalization factor. Finite coupling effects suppress the critical temperature at mu=0 (T_{c,mu=0}), while critical temperature at T=0 (mu_{c,T=0}) is not affected much. NNLO corrections does not significantly affect T_{c,mu=0} and mu_{c,T=0}, but the phase diagram shape including the position of the critical point is sensitive to the NNLO effects. Partially chiral restored matter is found to exist in NLO and NNLO SC-LQCD.