SU(2) Higher-order effective quark interactions from polarization

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2016

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Higher order quark effective interactions are found for SU(2) flavor by departing from a non-localquark–quark interaction. By integrating out a component of the quark field, the determinant is expanded in chirally symmetric and symmetry breaking effective interactions up to the fifthorder in the quark bilinears.The resulting coupling constants are resolved in the leading order of the longwavelength limit and exact numerical ratios between several of these coupling constants are obtained in the large quark mass limit. In this level, chiral invariant interactions only show up in even powers of the quark bilinears, i.e. O(¯ψψ)2n(n =1, 2, 3, ..), whereas (explicit) chiral symmetry breaking terms emerge as O(¯ψψ)nbeing always proportional to some power of the Lagrangian quark mass.

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Quark effective interaction, Explicit symmetry breaking, Higher order interactions, Nambu Jona Lasinio model, Chiral symmetry

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BRAGHIN, Fábio L. SU(2) Higher-order effective quark interactions from polarization. Physics Letters B, Amsterdam, v. 761, p. 424-427, 2016. DOI: 10.1016/j.physletb.2016.08.060. Disponível em: file:///C:/Users/Usu%C3%A1rio/Downloads/1-s2.0-S0370269316304877-main.pdf. Acesso em: 20 abr. 2023.