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Topological susceptibility and axion properties in the presence of a strong magnetic field within the three-flavor NJL model
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abstract
We analyze the topological susceptibility and the axion properties in the presence of an external uniform magnetic field, considering a three flavor NJL model that includes strong CP violation through a 't Hooft-like flavor mixing term. Both thermal and finite density effects are studied for magnetic fields up to 1 GeV$^2$, and the corresponding phase transitions are analyzed. To capture the inverse magnetic catalysis effect at finite temperatures and densities, a magnetic field-dependent coupling constant is considered. Our analytical and numerical results are compared with those previously obtained from lattice QCD, chiral perturbation theory and other effective models.
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First-order CP phase transition in two-flavor QCD at $\theta = \pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
In an NJL model, the electromagnetic scale anomaly creates a thermal potential barrier proportional to |eB|^3 |P|/(P^2 + m0^2), making the theta = pi CP transition first order.
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