Ward-Takahashi Identity for Vertex Functions of \(\text{sQED}\)

Ha Thanh Hung, Le Tho Hue, Hoang Ngoc Long
Author affiliations

Authors

  • Ha Thanh Hung Institute of Physics, VAST
  • Le Tho Hue Institute of Physics, VAST
  • Hoang Ngoc Long Institute of Physics, VAST

DOI:

https://doi.org/10.15625/0868-3166/23/1/2604

Abstract

Ward-Takahashi identity is an useful tool for calculatingamplitude of scattering processes. In the high-order perturbative  theory of sQED,  propagator and vertex functions  contain  many high-order corrections. By using  Ward-Takahashi identity, each vertex function is separated into  two parts: ``longitudinal'' and ``transverse'' part. The longitudinal part can be directly calculated   from Ward-Takahashi identity.  The transverse  part depends on the expanding of  specific orders of   the theory. In this report, we  present one method based on the Ward-Takahashi identity,   to calculate this  part of vertex functions at the one-loop order in arbitrary gauge and dimensions in sQED.

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Published

10-04-2013

How to Cite

[1]
H. T. Hung, L. T. Hue, and H. N. Long, “Ward-Takahashi Identity for Vertex Functions of \(\text{sQED}\)”, Comm. Phys., vol. 23, no. 1, p. 11, Apr. 2013.

Issue

Section

Papers
Received 17-12-2012
Accepted 17-12-2012
Published 10-04-2013