Neutral meson properties under an external magnetic field in nonlocal chiral quark models

DANIEL GOMEZ DUMM; MARÍA FLORENCIA IZZO VILLAFAÑE; NORBERTO N. SCOCCOLA

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2018 vol. 97 p. 34025 - 34025

1550-7998

We study the behavior of neutral meson properties in the presence of a static uniform external magnetic field in the context of nonlocal chiral quark models. The formalism is worked out introducing Ritus transforms of Dirac fields, which allow to obtain closed analytical expressions for pi0 and sigma meson masses and for the pi0 decay constant. Numerical results for these observables are quoted for various parameterizations. In particular, the behavior of the pi0 meson mass with the magnetic field is found to be in good agreement with lattice QCDresults. It is also seen that the Goldberger-Treiman and Gell-Mann-Oakes-Renner chiral relations remain valid within these models in the presence of the external magnetic field.