TY  - JOUR
A1  - Qin, Si-Xue
A1  - Roberts, Craig D.
A1  - Schmidt, Sebastian M.
T1  - Ward–Green–Takahashi identities and the axial-vector vertex
T2  - Physics Letters B
N2  - 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.
KW  - Quantum chromodynamics
KW  - Ward–Green–Takahashi identities
KW  - Dynamical chiral symmetry breaking
KW  - Dyson–Schwinger equations
KW  - Goldstone bosons
KW  - Nonperturbative methods
KW  - Weak interactions
Y1  - 2014
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/77032
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-770327
SN  - 0370-2693
VL  - 733
SP  - 202
EP  - 208
PB  - Elsevier
CY  - Amsterdam
ER  -