2023-12-072023-12-072016BRAGHIN, Fabio L. SU(2) low energy quark effective couplings in weak external magnetic field. Physical Review D, College Park, v. 94, n. 7, e074030, 2016. DOI: 10.1103/PhysRevD.94.074030. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.94.074030. Acesso em: 14 set. 2023.e- 2470-00292470-0010https://journals.aps.org/prd/abstract/10.1103/PhysRevD.94.074030In this work corrections to the usual flavor SU(2) Nambu-Jona-Lasinio (NJL) coupling due to a weak external magnetic field are calculated by considering quark polarization in a (dressed) gluon exchange mechanism for quark interactions. The quark field is split into two components: one that condenses and another one that is a background field for interacting quarks, the former being integrated out. The resulting determinant is expanded for relatively large quark mass and small magnetic field ðeB0=M2Þ < 1 by resolving magnetic-field-dependent low energy quark effective interactions. Besides the corrections for the NJL and vector NJL effective couplings, different B0-dependent effective couplings that break isospin and chiral symmetry emergeengAcesso RestritoArtigo10.1103/PhysRevD.94.074030