A comparison of condensate mass of QCD vacuum between Wilson line approach and Schwinger effect

TL;DR

This paper compares two holographic approaches to calculating the condensate mass of the QCD vacuum, showing that gluon condensation dominates the mass contribution and aligns with QCD data.

Contribution

It introduces a duality-based holographic method to evaluate QCD vacuum condensates and compares it with Schwinger effect predictions, highlighting the dominant role of gluon condensation.

Findings

The condensate parameter $m_0^2$ matches QCD data.

Gluon condensation significantly contributes to the vacuum mass.

Schwinger effect produced mass is suppressed by $m_0$.

Abstract

By duality approach, we study condensate mass of QCD vacuum via dilaton wall background in presence of parameter $c$ which represents the gluon condensation in holographic set up. First from Wilson line calculation we find $m^2_0$ (condensate parameter in mixed nonlocal condensation) whose behavior mimics that of QCD. The value of $m^2_0$ that we find by this approach, is in agreement with QCD data. In the second step we consider produced mass m via Schwinger effect mechanism in presence of parameter $c$. We show that generally gluon condensation contribute mass dominantly and produced mass via Schwinger effect is suppressed by $m_0$ .