Nonlocal Condensates in Hadrons and Multiquark States

TL;DR

This paper explores the concept of in-hadron condensates in QCD, proposing a topological classification method to analyze nonlocal condensates and their variations within hadrons and multiquark states.

Contribution

It introduces a framework for defining in-hadron regions and classifying hadronic states using topological methods and nonlocal measures in QCD.

Findings

Topological classification of hadrons and multiquark states.

Estimation of variations in the dimension 2 condensate <A_{}^2>.

Applicability of techniques to complex nuclear states.

Abstract

The definition of QCD vacuum is an important issue in the description of hadronic properties. Recent researches on the vacuum condensates have resulted in the suggestion of in-hadron condensates which can be taken as a paradigm shift concerning the viewpoints on the QCD vacuum. In this Letter, we will try to define the in-hadron regions and to classify the hadronic and multiquark states. Topological classifications are naturally introduced and by considering nonlocal measure we can estimate the variations of dimension 2 condensate $< A_{\mu}^2 >$. The calculational techniques can be easily applied to multiquark states and are expected to be applied to the more complex nuclear states.