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.
Manifestly gauge invariant QED
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abstract
We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. Calculations can be performed almost entirely diagrammatically. The method is formulated within the framework of an exact renormalisation group for QED. We demonstrate the technique with a calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing.
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hep-th 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Hard cutoff and gauge theories
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.