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

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 π0 and σ mes...

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Detalles Bibliográficos
Autores: Gomez Dumm, Daniel Alberto, Izzo Villafañe, María Florencia, Scoccola, Norberto Nerio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/95760
Acceso en línea:http://hdl.handle.net/11336/95760
Access Level:acceso abierto
Palabra clave:NEUTRAL MESON PROPERTIES
UNIFORM EXTERNAL MAGNETIC FIELD
NONLOCAL CHIRAL QUARK MODEL
RITUS TRANSFORM
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descripción
Sumario: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 π0 and σ meson masses and for the π0 decay constant. Numerical results for these observables are quoted for various parametrizations. In particular, the behavior of the π0 meson mass with the magnetic field is found to be in good agreement with lattice QCD results. 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.