Vacuum polarization corrections to low energy quark effective couplings

In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based Nambu-Jona-Lasinio model. By separating the quark field into two c...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-07, Vol.90 (1), Article 014049
Main Authors: Paulo, Ademar, Braghin, Fabio L.
Format: Article
Language:English
Subjects:
Condensates
Constants
Couplings
Joining
Low energy
Polarization
Quarks
Scalars
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Summary:In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based Nambu-Jona-Lasinio model. By separating the quark field into two components, one that condenses and another one for interacting quarks, the former is integrated out with the help of usual auxiliary fields and an effective action in terms of interacting quark fields is found. The scalar auxiliary field reduces to the quark-antiquark condensate in the vacuum and the determinant is expanded in powers of the quark-antiquark bilinears generating chiral invariant effective 2N-quark interactions (N = 2,3...). The corresponding coupling constants and effective masses are estimated, and the general trend is that for increasing the effective gluon mass the values of the effective coupling constants decrease. All the values are in good agreement with phenomenological fits.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.90.014049