SU(2) low energy quark effective couplings in weak external magnetic field

Abstract

In this work corrections to the usual flavor SU(2) Nambu-Jona-Lasinio 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 splitted into two components, one that condenses and another one that is a background field for interacting quarks, being the former integrated out. The resulting determinant is expanded for relatively large quark mass and small magnetic field, $(e{B}_0/{M^{\ast }}^2)<1$ by resolving magnetic field dependent low energy quark effective interactions. Besides the corrections for the NJL and vector NJL effective couplings, different $B_0-$dependent effective couplings that break isospin and chiral symmetry emerge.

12 pages, revised manuscript, Phys. Rev. D 94, 074030 (2016)

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Cited by in corpus (10)

• Magnetized baryons and the QCD phase diagram: NJL model meets the lattice
• Low energy constituent quark and pion effective couplings in a weak external magnetic field
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Pion constituent quarks couplings strong form factors: a dynamical approach
• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• Form factors for pions couplings to constituent quarks under weak magnetic field
• Light vector and axial mesons effective couplings to constituent quarks
• Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance