Low energy constituent quark and pion effective couplings in a weak external magnetic field

. An effective model with pions and constituent quarks in the presence of a weak external background electromagnetic field is derived by starting from a dressed one gluon exchange quark-quark interaction. By applying the auxiliary field and background field methods, the structureless pion limit is c...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2018-03, Vol.54 (3), p.1-16, Article 45
Main Author: Braghin, Fábio L.
Format: Article
Language:English
Subjects:
Chiral dynamics
Constituents
Couplings
Electromagnetic fields
Electromagnetism
Hadrons
Heavy Ions
Magnetic fields
Mathematical models
Nuclear Fusion
Nuclear Physics
Parameters
Particle and Nuclear Physics
Perturbation theory
Physics
Physics and Astronomy
Pions
Quarks
Regular Article - Theoretical Physics
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Summary:. An effective model with pions and constituent quarks in the presence of a weak external background electromagnetic field is derived by starting from a dressed one gluon exchange quark-quark interaction. By applying the auxiliary field and background field methods, the structureless pion limit is considered to extract effective pion and constituent quark couplings in the presence of a weak magnetic field. The leading terms of a large quark and gluon masses expansion are obtained by resolving effective coupling constants which turn out to depend on a weak magnetic field. Two pion field definitions are considered for that. Several relations between the effective coupling constants and parameters can be derived exactly or in the limit of very large quark mass at zero and weak constant magnetic field. Among these ratios, the Gell-Mann-Oakes-Renner and the quark level Goldberger-Treiman relations are obtained. In addition to that, in the pion sector, the leading terms of Chiral Perturbation Theory coupled to the electromagnetic field are recovered. Some numerical estimates are provided for the effective coupling constants and parameters.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2018-12485-6