Lattice QCD Simulations in External Background Fields

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.

31 pages, 10 figures, minor changes and references added. To appear in Lect. Notes Phys. "Strongly interacting matter in magnetic fields" (Springer), edited by D. Kharzeev, K. Landsteiner, A. Schmitt, H.-U. Yee

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• Inverse Magnetic Catalysis from improved Holographic QCD in the Veneziano limit
• Inverse Anisotropic Catalysis in Holographic QCD
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
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• The Evolution of Meson Masses in a Strong Magnetic Field
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• Complex Langevin simulation of quantum vortices in a Bose-Einstein condensate
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• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Detecting scale anomaly in chiral phase transition of QCD: new critical endpoint pinned down
• Axion-Polaritons in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Spontaneous magnetization of a vacuum in the hot Universe and intergalactic magnetic fields
• Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach
• Dirac Kondo effect under magnetic catalysis
• Deconfinement Phase Transition with External Magnetic Field in Friedberg-Lee Model
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
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