Lattice QCD Simulations in External Background Fields
Massimo D'Elia

TL;DR
This paper reviews recent lattice QCD simulation results exploring how external magnetic and chromomagnetic fields influence non-perturbative QCD properties, including chiral symmetry and deconfinement, with insights into electromagnetic effects on gluodynamics.
Contribution
It provides a comprehensive overview of lattice simulation studies on the impact of external fields on QCD phase transitions and symmetry breaking, highlighting recent advances and future directions.
Findings
External magnetic fields affect chiral symmetry breaking.
External fields influence the QCD phase diagram.
Electromagnetic backgrounds impact gluodynamics.
Abstract
We discuss recent results and future prospects regarding the investigation, by lattice simulations, of the non-perturbative properties of QCD and of its phase diagram in presence of magnetic or chromomagnetic background fields. After a brief introduction to the formulation of lattice QCD in presence of external fields, we focus on studies regarding the effects of external fields on chiral symmetry breaking, on its restoration at finite temperature and on deconfinement. We conclude with a few comments regarding the effects of electromagnetic background fields on gluodynamics.
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