Study of the Finite Density State based on SU(2) Lattice QCD

TL;DR

This paper presents numerical studies of two-color QCD at finite density using lattice simulations, analyzing phase structure, meson and baryon propagators, and inter-quark forces, with implications for experimental observations.

Contribution

The study provides new insights into the phase structure and meson mass behavior in two-color QCD at finite density, including boundary condition effects and inter-quark force calculations.

Findings

Vector meson mass decreases near critical chemical potential

Polyakov line and baryon density measurements reveal phase structure

Preliminary inter-quark force results from Polyakov line correlations

Abstract

We report our recent numerical studies on two-color QCD with Wilson fermions. First the phase structure of the system in (kappa,mu)-plane is analyzed by measuring Polyakov line, baryon number density, gluon energy density and Polyakov line susceptibility. Then meson and baryon (di-quark) propagators are investigated. We find that the vector meson mass decreases near mu_c. This phenomena can be related to the low-mass lepton-pair enhancement observed in CERES experiment. Since our lattice is small, in order to confirm the results, we calculate both periodic and anti-periodic boundary condition cases. Preliminary calculations of color averaged, symmetric and anti-symmetric forces of qq system obtained from Polyakov line correlations, and gluon propagators are reported.