Topological Susceptibility in a Uniform Magnetic Field

TL;DR

This paper investigates how a uniform magnetic field affects the topological susceptibility and cumulants in QCD, deriving model-independent sum rules connecting these shifts to changes in quark condensates and susceptibilities.

Contribution

It introduces novel, model-independent sum rules that relate the magnetic field-induced shifts in topological quantities to quark condensates and susceptibilities in QCD.

Findings

Derived sum rules linking topological susceptibility shifts to quark condensates.

Established relationships between the fourth cumulant shifts and quark condensates and susceptibilities.

Provided insights into the magnetic field effects on QCD vacuum topology.

Abstract

We study the topological susceptibility and the fourth cumulant of the QCD vacuum in the presence of a uniform, background magnetic field in two-and-three flavor QCD finding novel, model-independent sum rules relating the shift in the topological susceptibility due to the background field to the shift in the quark condensates, and the shift in the fourth cumulant to the shifts in the quark condensates and susceptibilities