期刊
PHYSICS LETTERS B
卷 733, 期 -, 页码 202-208出版社
ELSEVIER
DOI: 10.1016/j.physletb.2014.04.041
关键词
Quantum chromodynamics; Ward-Green-Takahashi identities; Dynamical chiral symmetry breaking; Dyson-Schwinger equations; Goldstone bosons; Nonperturbative methods; Weak interactions
资金
- Alexander von Humboldt Foundation
- Helmholtz Association
- Department of Energy, Office of Nuclear Physics [DE-AC02-06CH11357]
- Forschungszentrum Julich GmbH
The colour-singlet axial-vector vertex plays a pivotal role in understanding dynamical chiral symmetry breaking and numerous hadronic weak interactions, yet scant model-independent information is available. We therefore use longitudinal and transverse Ward-Green-Takahashi (WGT) identities, together with kinematic constraints, in order to ameliorate this situation and expose novel features of the axial vertex: amongst them, Ward-like identities for elements in the transverse piece of the vertex, which complement and shed new light on identities determined previously for components in its longitudinal part. Such algebraic results are verified via solutions of the Bethe-Salpeter equation for the axial vertex obtained using two materially different kernels for the relevant Dyson-Schwinger equations. The solutions also provide insights that suggest a practical Ansatz for the axial-vector vertex. (C) 2014 The Authors. Published by Elsevier B.V.
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