The chiral transition in a magnetic background: Finite density effects and the functional renormalization group

Abstract

We compute the phase diagram of the quark-meson model at finite temperature, finite baryon chemical potential ${\mu }_B=3\mu$ and constant external magnetic field $B$, using the functional renormalization group. Our results show that the critical temperature increases as a function of $B$ at $\mu =0$, but for values $\mu$ larger than about 210-225 MeV, the opposite behavior is realized. As the magnetic field increases, the critical point $(T^{\ast },{\mu }^{\ast })$ moves from large $\mu$, small $T$ towards small $\mu$, larger $T$ in the $\mu$--$T$ phase diagram.

16 pages and 6 figures v3: typos fixed and layout of figs improved. Matches published version

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Cited by in corpus (17)

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• Inverse magnetic catalysis in the linear sigma model with quarks
• Magnetic catalysis in nuclear matter
• Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation
• Heavy meson spectroscopy under strong magnetic field
• Inverse magnetic catalysis and regularization in the quark-meson model
• Chiral transition with magnetic fields
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Surface Magnetic Catalysis
• Magnetic susceptibility of a strongly interacting thermal medium with 2+1 quark flavors
• Consistent parameter fixing in the quark-meson model with vacuum fluctuations
• Mass modification of hot pions in magnetized dense medium
• Temperature and Strong Magnetic Field Effects in Dense Matter
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field