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

2016/05/31 by Fábio L. Braghin · 2 citations
Physics and Astronomy · #Bottom quark #Chiral symmetry breaking #Coupling constant #Down quark #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Symmetry breaking #Top quark #Top quark condensate #Up quark #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1016/j.physletb.2016.08.060

published as Phys. Lett. B 761 (2016) 424 · 11 pages, revised version, submitted to publication

arxiv created 2016/08/16 · openalex publication_date 2016/09/07 · arxiv updated 2016/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Higher order quark effective interactions are found for SU(2) flavor by departing from a non-local quark–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 fifth order 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(ψ¯ψ)2n (n=1,2,3,..), whereas (explicit) chiral symmetry breaking terms emerge as O(ψ¯ψ)n being always proportional to some power of the Lagrangian quark mass.

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