Series expansion of the quark determinant in the number of quark-antiquark pairs

TL;DR

The paper introduces a series expansion method for the QCD partition function that isolates contributions from valence quarks and quark-antiquark pairs, enabling detailed analysis of baryonic sectors across densities.

Contribution

It presents a novel series expansion of the quark determinant in the baryonic sector, facilitating studies from nucleons to dense baryonic matter.

Findings

Provides a gauge-invariant expansion of the quark determinant

Enables analysis of baryonic sectors from nucleons to high densities

Offers a new tool for investigating QCD in various baryonic regimes

Abstract

We propose a formulation of the QCD partition function which leads to a series expansion of the quark determinant in any given baryonic sector. The r-th term gives the gauge-invariant contribution of the valence quarks plus r quark-antiquark pairs. This expansion can be used to investigate any baryonic sector, starting from the nucleon up to high baryonic densities.