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Ward identities and Wilson renormalization group for QED

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abstract

We analyze a formulation of QED based on the Wilson renormalization group. Although the ``effective Lagrangian'' used at any given scale does not have simple gauge symmetry, we show that the resulting renormalized Green's functions correctly satisfies Ward identities to all orders in perturbation theory. The loop expansion is obtained by solving iteratively the Polchinski's renormalization group equation. We also give a new simple proof of perturbative renormalizability. The subtractions in the Feynman graphs and the corresponding counterterms are generated in the process of fixing the physical conditions.

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hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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Hard cutoff and gauge theories

hep-th · 2026-05-25 · unverdicted · novelty 6.0

A hard-cutoff scheme for scalar and fermionic QED is constructed that preserves gauge invariance and reproduces the standard Euler-Heisenberg effective action up to cutoff-suppressed periodic corrections.

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  • Hard cutoff and gauge theories hep-th · 2026-05-25 · unverdicted · none · ref 14 · internal anchor

    A hard-cutoff scheme for scalar and fermionic QED is constructed that preserves gauge invariance and reproduces the standard Euler-Heisenberg effective action up to cutoff-suppressed periodic corrections.