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.
Running coupling in Yang-Mills theory - a flow equation study -
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abstract
The effective average action of Yang-Mills theory is analyzed in the framework of exact renormalization group flow equations. Employing the background-field method and using a cutoff that is adjusted to the spectral flow, the running of the gauge coupling is obtained on all scales. In four dimensions and for the gauge groups SU(2) and SU(3), the coupling approaches a fixed point in the infrared.
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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.