Ward-Takahashi Identity with External Field in Ladder QED
Efrain J. Ferrer, Vivian de la Incera
TL;DR
This paper derives the Ward-Takahashi identity for ladder QED with a constant magnetic field, ensuring gauge invariance of magnetic field-induced chiral symmetry breaking by connecting it with Schwinger-Dyson solutions.
Contribution
It provides the explicit form of the Ward-Takahashi identity in the presence of a magnetic field and confirms the gauge invariance of chiral symmetry breaking in ladder QED.
Findings
Derived the WT identity with external magnetic field.
Found solutions consistent with Schwinger-Dyson equations.
Confirmed gauge invariance of magnetic field induced phenomena.
Abstract
We derive the Ward-Takahashi identity obeyed by the fermion-antifermion-gauge boson vertex in ladder QED in the presence of a constant magnetic field. The general structure in momentum space of the fermion mass operator with external electromagnetic field is discussed. Using it we find the solutions of the ladder WT identity with magnetic field. The consistency of our results with the solutions of the corresponding Schwinger-Dyson equation ensures the gauge invariance of the magnetic field induced chiral symmetry breaking recently found in ladder QED.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.