Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD

Understand

Two-color lattice QCD with N_f=4 staggered fermion degrees of freedom (no rooting trick is applied) with equal electric charge q is studied in a homogeneous magnetic background field B and at non-zero temperature T.

• In order to circumvent renormalization as a function of the bare coupling we apply a fixed-scale approach.
• We study the influence of the magnetic field on the critical temperature.
• At rather small pseudo-scalar meson mass ($m_{\pi} \approx 175 \mathrm{MeV} \approx T_c(B=0)$) we confirm a monotonic rise of the quark condensate $<\bar{\psi} \psi>$ with increasing magnetic field strength, i.e.