Transverse Ward-Takahashi relation for the vector vertex in quantum field theory

Authors
He, HX
Citation
Hx. He, Transverse Ward-Takahashi relation for the vector vertex in quantum field theory, COMM TH PHY, 35(1), 2001, pp. 32-35
Citations number
15
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN journal
02536102 → ACNP
Volume
35
Issue
1
Year of publication
2001
Pages
32 - 35
Database
ISI
SICI code
0253-6102(20010115)35:1<32:TWRFTV>2.0.ZU;2-V
Abstract
The transverse Ward-Takahashi (W-T) relation for the vector vertex in quant um field theory is derived by calculating the curl of the time-ordered prod uct of the three-point function including the vector current operator. This provides the constraint on the transverse part of the vertex. By combining the transverse and normal (longitudinal) W-T identities, we obtain the exp ression for the full vector vertex function.