Gauge Invariant Cutoff QED
F. Ardalan, H. Arfaei, M. Ghasemkhani, N. Sadooghi
TL;DR
This paper demonstrates the renormalizability of cutoff QED using a hidden gauge symmetry and derives the exact RG flow equation for a cutoff phi^4 theory, with implications for general gauge groups.
Contribution
It introduces a hidden gauge symmetry in cutoff QED to establish renormalizability and derives the exact RG flow equation for cutoff phi^4 theory, extending to general gauge groups.
Findings
Ward identities hold throughout the RG flow.
Renormalizability of cutoff QED is proven.
Exact RG flow equation for cutoff phi^4 theory is derived.
Abstract
A hidden generalized gauge symmetry of a cutoff QED is used to show the renormalizability of QED. In particular, it is shown that corresponding Ward identities are valid all along the renormalization group flow. The exact Renormalization Group flow equation corresponding to the effective action of a cutoff lambda phi^4 theory is also derived. Generalization to any gauge group is indicated.
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