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arxiv: 1606.05754 · v2 · pith:7RZFS2RCnew · submitted 2016-06-18 · ✦ hep-ph · hep-lat· nucl-th

π₀ pole mass calculation in a strong magnetic field and lattice constraints

Sidney S. Avancini , Ricardo L. S. Farias , Marcus Benghi Pinto , William R. Tavares , Varese S. Tim\'oteo This is my paper
classification ✦ hep-ph hep-latnucl-th
keywords magneticfieldmasslatticemesonpoleresultszero
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The $\pi_0$ neutral meson pole mass is calculated in a strongly magnetized medium using the SU(2) Nambu-Jona-Lasinio model within the random phase approximation (RPA) at zero temperature and zero baryonic density. We employ a magnetic field dependent coupling, $G(eB)$, fitted to reproduce lattice QCD results for the quark condensates. Divergent quantities are handled with a magnetic field independent regularization scheme in order to avoid unphysical oscillations. A comparison between the running and the fixed couplings reveals that the former produces results much closer to the predictions from recent lattice calculations. In particular, we find that the $\pi_0$ meson mass systematically decreases when the magnetic field increases while the scalar mass remains almost constant. We also investigate how the magnetic background influences other mesonic properties such as $f_{{\pi}_0}$ and $g_{\pi_0 q q}$.

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