Heavy and light quarks in the instanton vacuum

TL;DR

This paper investigates how instanton configurations in the gluon field influence heavy and light quark interactions, providing insights into the properties of systems with multiple heavy quarks.

Contribution

It derives the light quark determinant in the instanton vacuum and calculates its impact on heavy quark correlators and interactions, a novel approach in this context.

Findings

Calculated light quark contributions to heavy quark interactions.

Derived instanton-induced light-heavy quark interaction terms.

Provided insights into heavy quark system properties.

Abstract

Assuming the gluon field is well approximated by instanton configurations we derive a light quarks determinant and calculate its contribution to the specific heavy quarks correlators -- namely, the heavy quark propagator and heavy quark-aniquark correlator, receiving the instanton generated light-heavy quarks interaction terms contributions. With these knowledge we calculate the light quark contribution to the interaction between heavy quarks, which might be essential for the properties of a few heavy quarks systems.