Mean field, instantons and finite baryon density

Finite Baryon Density Effects on Gauge Field Dynamics

We discuss the effective action for QCD gauge fields at finite temperatures and densities , obtained after integrating out the hardest momentum scales from the system. We show that a non-vanishing baryon density induces a charge conjugation (C) odd operator to the gauge field action, proportional to the chemical potential. Even though it is parametrically smaller than the leading C even operato...

Instantons and Baryon Dynamics

According to common wisdom, moving a quark away from a diquark system in a baryon generates a string, also called a flux tube, whose energy rises linearly with the separation. The string energy, however, exceeds the pion mass mπ = 140MeV at a modest separation of about 0.26 fm, see Fig. 1. At larger separations the would-be linear potential is screened since it is energetically favorable to tea...

A Finite Baryon Density Algorithm

I will review the progress toward a finite baryon density algorithm in the canonical ensemble approach which entails particle number projection from the fermion determinant. These include an efficient Padé-Z2 stochastic estimator of the Tr log of the fermion matrix and a Noisy Monte Carlo update to accommodate unbiased estimate of the probability. Finally, I will propose a Hybrid Noisy Monte Ca...

Mean field baryon magnetic moments and sumrules

– New developments have spurred interest in magnetic moments (μ-s) of baryons. The measurement of some of the decuplet μ-s and the findings of new sumrules from various methods are partly responsible for this renewed interest. Our model, inspired by large colour approximation, is a relativistic self consistent mean field description with a modified Richardson potential and is used to describe t...

Microscopic baryon-baryon interactions at finite density and hypernuclear structure